Statistics and Probability questions and answers in October 2021

American Hospital Association database   One survey indicated that at least 68% of all small hospitals have opted out of the birthing business. Suppose you believe that this figure is too high. Use t...
Q4                       The "Multinational Parks" is interested in determining the variables that influence the amount of money families spend at their parks.   The "ParkSpend" table to t...
Q3                 A researcher is interested in determining if age predicts weight or not.    The table to the right indicate the age and weights of the people (14) in the sample.       ...
A production manager is comparing between three production methods.       The productivity (number of units produced per day) of the three production methods for the last 25 days  is presented in ...
Q1             The table below indicate the norm for students grades in MGSC 301.               Grade   Excellent Very Good Good Accepted Fail Proportion of Students 0.4 0.3 0.15 0.1 0.0...
C7 Q7 V2 The normal probability plot shown below was created in R from a sample of Celcius temperatures taken at 15 randomly chosen locations. CHOOSE THE MOST CORRECT ANSWER BELOW.       The points...
C7 Q5 V2: The average price of a home in your community is $200,000 with a standard deviation of $30,240. A random sample of 49 homes is drawn from the population of homes. What is the probability tha...
C7 Q6 V1: The average price of a home in your community is $200,000 with a standard deviation of $30,240 dollars. A random sample of 64 homes is drawn from the population of homes. What is the probabi...
C7 Q3 V4: Recall that the EXPONENTIAL distribution is right skewed with mean=standard deviation=1/rate. The HISTOGRAM pictured below displays a random sample of 1000 observations taken from an EXPONEN...
C6 Q6 V3: A company sells pumpkin seeds. They advertise that they will offer you 100 pounds of free topsoil if it takes their pumpkins more than a certain number of days to grow to maturity. They wish...
C6 Q1 V2: . A tire company makes tires that have a normal distribution with a mean of 65,000 miles with a standard deviation of 3000 miles prior to needing replacement. Find the probability that a tir...
Homework: Assignment 22: 7.2 HW Question 1, 7.2.1 HW Score: 40.91%, 9 of 22 points Part 1 of 3 O Points: 0 of 1 Refer to the accompanying data display that results from a simple TInterval random sampl...
3. A certain brand of paint sells cans in which the volume of paint follows a normal distribution with a mean of 946 mL and a standard deviation of 5.5 mL.   a) A can is rejected by the quality contr...
Suppose a density curve has area 0.819 to the left of 10. What is the area to the right of 10? Explain your answer. (2 marks) Determine the -scores and . (4 marks) A certain brand of paint sells cans ...
i) Say a population has mean 𝜇 and standard deviation 𝜎. What are the mean and standard deviation of all sample means, for samples of size n?  ii) Do answers to i) depend on population shape? W...
A certain brand of paint sells cans in which the volume of paint follows a normal distribution with a mean of 946 mL and a standard deviation of 5.5 mL. 1A ) Determine the 30th percentile for the volu...
A movie production company wishes to test whether three different endings of a soon-to-be released movie is associated with significantly different levels of recommendation. The production company des...
A researcher performs six independent hypothesis tests each at the 5% significance level. Determine the probability of observing at most two Type I Errors. (Round your final answer to the nearest hund...
Calculate the distance for a Sunday skate that would put it in the shortest 1.5% (bottom 1.5%) or longest 2.5% (top 2.5%) of all skates. What would be the maximum distance for the shortest 1.5% and th...
Mean 12.8 std.dev=2.9  A. Draw a picture of the density curve with the mean labeled and shaded area representing the probability of a skate distance that is in the shortest 1.5% (bottom 1.5%) or long...
    Calculate the theoretical probability that the player moves farther than "Reading Railroad" on their first turn. Using the probability distribution built in the table and state this probability ...
    Calculate the theoretical probability that the player will move no farther than "Reading Railroad" on the first turn. Using the probability distribution built in the table, state this probabilit...
  What space would a Monopoly player be most likely to land on for their first turn? Write your answer in a complete sentence with a valid reason.. X P(x) 2 1/36 = 0.0278 3 2/36 = 1/18 = 0.0556 4 3/3...
  a. Do you think it is reasonable to use the Normal probability model in this case? Answer this question and provide a reason why in one sentence.   b. Using the histogram, determine the proportion...
For this midterm exam question, Walmart would like to increase the number of customers using their online order and pickup service. They have decided to run an experiment with 600 randomly selected in...
The pie chart below represents the percent of Republicans who had a favorable rating of 4 different Republican candidates for the 2012 Presidential race. Use this information to answer the questions b...
A researcher who is planning to conduct an experiment with human participants decides not to tell participants the full details of the study. She does not want to bias their responses in one direction...
    A researcher who is planning to conduct an experiment with human participants decides not to tell participants the full details of the study. She does not want to bias their responses in one dir...
QUESTION 13   A researcher who is planning to conduct an experiment with human participants decides not to tell participants the full details of the study. She does not want to bias their responses i...
1. The average score of a statistics class was 71 with a standard deviation of 8. A) What is the z score of a student with a grade of 68? B) What is the z score of a student with a grade of 80?   2. ...
The amount of time a customer spends in a convenience store can be modeled by an exponential distribution with the average amount of time equal to five minutes.  What is the probability that a random...
In 2019, it was estimated that 40% of U.S. households purchased groceries at convenience stores. Consider a follow-up study focusing on the last calendar year. What sample size is needed to estimate t...
Spectrum Cable company wants to estimate its mean waiting time for installation of service to within a 4-day margin of error with 90% confidence. The company believes that the population standard devi...
According to a study, 20% of corporate officers at Fortune 500 companies are women. Suppose that you select a random sample of 200 corporate officers.   What is the probability that in the sample, mo...
According to a study, 20% of corporate officers at Fortune 500 companies are women. Suppose that you select a random sample of 200 corporate officers.   What is the probability that in the sample, be...
According to a study, 20% of corporate officers at Fortune 500 companies are women. Suppose that you select a random sample of 200 corporate officers.   What is the probability that in the sample, le...
The amount of time a customer spends in a convenience store can be modeled by an exponential distribution with the average amount of time equal to five minutes.    What is the probability that a ran...
In a group of 25 comic book readers, 9 prefer Marvel, 16 prefer DC. a) If we randomly select 7 readers, what is the probability only 1 prefers Marvel? b) If we randomly select 10 readers, what is the ...
At a local gym, 16 members check in during the first hour they are open each morning.  a) If we assume constant probability and independence, what is the probability only 10 people check in during th...
Studies show that 80% of Americans own cars (second only to Italy).  If we take a sample of 60 American and we are going to calculate probabilities of getting sample proportions, answer the following...
 . Explain in plain language what is meant by "the sampling distribution of the sample mean." {2 marks) Suppose a population has mean ,u and standard deviation 0. What are the mean and stan...
The following table shows hypothetical data for two experimental treatments (Treatment A and Treatment B) against two stages of cancer (Early and Advanced). "Remission" indicates a successfu...
Why would neighborhoods with more station wagons tend to have more playgrounds? A Playgrounds are made from former used car lots (which used to sell station wagons) B. Playground equipment dealers ten...
Which of the situations below probably does not have a lurking variable operating in some way? Choose the best answer. O A. When sales of cold medication go up, sales of ice cream go down. O B. Beache...
An M&M candy dispenser has 35 red, 35 blue, and 35 green M&Ms. The dispenser dispenses 20 M&Ms each time. What is the probability, that on the first use, you will get 4 blue M&Ms out o...
Suppose you go to bed at 10 PM and wake up at 6 AM and check your email the first thing after waking up. On an average, your inbox receives 60 emails during that period. What is the probability that y...
The following table shows hypothetical data for two experimental treatments (Treatment A and Treatment B) against two stages of cancer (Early and Advanced). 'Remission" indicates a successful tre...
Kamika purchased a briefcase for work last week and paid $160. The same briefcase now costs $125. What is the percent change in cost for this briefcase? Round your final answer to three (3) decimal pl...
Preliminary information suggests that the effectiveness of COVID vaccines is different for those 65 years of age and over and those under 65 years of age. Knowing this, when vaccine manufacturers cond...
The 2019 life expectancies in years for 20 random countries are listed below (https://ourworldindata.org/life-expectancy). (a) Calculate the mean and standard deviation for this data. Round numeric an...
In June 2021, Gallup surveyed a random sample of 4,802 U.S. adults regarding their well-being (https://news.gallup.com/poll/311135/adults-report-less-worry-happiness.aspx). Of those surveyed, 73% repo...
Arabela participates in a bowling league each summer and again each autumn. In Summer 2019, her mean score for the season was 163. For the whole Summer league, the mean score was 170 with a standard d...
Kamika purchased a briefcase for work last week and paid $160. The same briefcase now costs $125. What is the percent change in cost for this briefcase? Round your final answer to three (3) decimal pl...
Falcon Chocolates makes quality chocolate products and sells it products through a website. You work in Falcon's marketing department and your team has been tasked with developing new strategies to in...
need answers. QUESTION 8 What is the Binomial Probability when the number of trials is 10, probability is 0.46, and we want exactly 0 successes. Use 4 decimal places. QUESTION 9 What is the probabilit...
need answer. QUESTION 13 What is the probability of randomly selecting a professor? Car Truck Totals Student 25 26 51 Professor 17 28 45 Totals 42 54 96 QUESTION 14 What is the Discrete Variance when ...
Question 2 of 10 Imagine a study of surgery survival rates in two hospitals: Hospital A and Hospital B. Surgery patients in these hospitals are classified as being in either good condition or poor con...
The following table shows hypothetical data for two experimental treatments (Treatment A and Treatment B) against two stages of cancer (Early and Advanced). "Remission" indicates a successfu...
A new observed data point is included in set of bivariate data. You find that the slope of the new regression line has changed from 1.7 to 1.1, and the correlation coefficient only changed from +.60 t...
Question 11. A study based on a random sample of 10 U.S. female adults reported a sample mean height of 65 inches with a sample standard deviation of 4 inches.   Calculate a 90% Confidence interval f...
Question: A survey regarding the attendance of religious services in the US, asked: "Do you attend a church, mosque, or temple at least once every week?" and 23% of the randomly sampled Americans said...
MULTIPLE CHOICE (choose 1 answer from the 5 choices below):   A simple random sample of 100 people is selected from a population that has a true standard deviation of 2 years. Thus, the standard erro...
A national health survey suggests that 28% of high school students in US state they have drunk enough alcohol to be considered 'drunk'.  The Georgia health state department took a random sample of 10...
Recently a news story reported that a paper was published investigating the bacterial infection of broiler chickens sold in the United States. The study design was based on purchasing 600 whole broile...
The number of page requests arriving at a Web server is a Poisson random variable X with an average of 20 requests per second. Find the probability that there are no requests in a 1-second period. Sho...
The number of page requests arriving at a Web server is a Poisson random variable X with an average of 20 requests per second. Find the probability that there are more than 30 requests in a 1-second p...
D Question 28 1 pts R2 is a value that is used to describe how closely data cluster around a linear fit. -True O False D Question 29 1 pts What is a good estimate for the R2 value for the data represe...
D Question 27 1 pts Consider the following scatterplot. If the outliers were deleted from the set of data used to create this scatterplot, the R-value would decrease in value. knee diameter 13 ankle d...
Which statement is likely true about the following scatterplot? @This scatterplot demonstrates a strong negative correlation. This scatterplot demonstrates a moderate positive correlation. This scatte...
Question 16     Both sets of values have an average of 13. Is Set A's standard deviation smaller, larger, or about the same as Set B's? ( Note : This question can be answered by knowing the concept ...
C4 Q3 V2: Randomly collected student data in the dataset STATISTICSSTUDENTSSURVEYFORR contains the columns FEDVOTE (voted Federal party (Conservative, Green, Liberals, or NDP) ) and UNDERGORGRAD (degr...
C4 Q2 V2 Randomly collected student data in the dataset STATISTICSSTUDENTSSURVEYFORR contains the columns ALBVOTE (voted Alberta party (Green, Liberal, NDP, or UCP) ) and UNDERGORGRAD (degree being so...
C5 Q4 V3 At a certain University, the chance of a student receiving financial aid is 73%. 15 students are randomly and independently chosen. Find the probability that at most 10 of them are receiving ...
C5 Q2 V2: A quiz consists of 10 true/false questions. You have a 65% chance of getting the answer correct on each question. Find the probability that you get 7 or 8 questions correct. ROUND YOUR FINAL...
C5 Q1 V4: A quiz consists of 10 true/false questions. You have a 85% chance of getting the answer correct on each question. Find the probability that you fail the exam (obtain a grade of 50% or below ...
C4 Q5 V1: Randomly collected student data in the dataset STATISTICSSTUDENTSSURVEYFORR contains the columns FEDBEST (preferred Federal party (Conservative, Green, Liberals, or NDP) ) , UNDERGORGRAD (de...
1.  A quiz consists of 10 true/false questions. You have a 75% chance of getting the answer correct on each question. Find the probability that you get 7 or 8 questions correct. ROUND YOUR FINAL ANSW...
At a local college, 62% of all students are full-time. a) If we randomly select 23 students what is the probability that exactly 16 are full-time? b) If we randomly select 23 students, what is the exp...
For Problems or Items #1 through #10, consider the following context:   The management team at The Pine Barrens Regional Medical Center (TPBRMC) in South Jersey wants to assure adequate staffing in l...
          Please answer all the questions. I need the answer for today. I will appreciate your help. Thanks        (Use this information to answer the questions) For Problems or Items #1 thro...
Let event Aequals subject is telling the truth and event Bequals polygraph test indicates that the subject is lying. Use your own words to translate the notation Upper P left parenthesis B|A right par...
Directions:  Solve the following problems and answer the following questions.  Be precise when necessary!  Then, report the most appropriate response in the corresponding online test feature.  S...
Please answer all the question using the information below. I need the answer for today please.  For Problems #1 through #9, consider the following context:  According to recent published reports, a...
Respected Tutor, please help me to solve following question, as I am stuck in it, can you please please help to solve and explain following problem???   (Properties of the Lebesgue integral) Show tha...
Respected Tutor, kindly help me to solve following problem as i tried to solve but I am stuck into it, please help me to answer this question please.   (Gausian Random Vector) Consider a random vecto...
Question 1)    According to motor vehicle bureau statistics, 25% of all male drivers are under 30 years old.  Separate statistics indicate that 16% of male drivers under age 30 have received a tick...
Question 1)    Consider the following context: The nutrition and food science division of Farnsworth Pharmaceuticals is alpha testing an OTC diagnostic kit so that adults who self-report a certain f...
The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995.   Year Retail Sales 0 85.851 3 108.426 6 141.781 9 169.256 12 202.297 15 222.266 Let S(t...
14)You are given the following distributions, where some of the probabilities have been removed. Complete the tables so that each probability distribution is valid. (Round your answers to two decimal ...
3. Suppose that you have collected monthly returns over the last 5 years on a U.S. small stock index and have calculated the standard deviation to be 14.20%. You want to determine if this standard dev...
17. Ethan Babson, CFA, is a fairly tough professor and he has handed each of his graduate students a sheet of paper with the information in Exhibit 1 . Babson told the students that the inde­pendent ...
16. Suppose that you are interested in examining the relationship between executive compensation and three independent variables that you believe have an effect: Proficiency in a second language, educ...
15. Suppose that you want to test whether the returns on US Technology Sector ETFs (XLK) are the same, or different, than the returns on US Materials Sector ETFs. (XLB) . You have collected 5 years of...
13. For this question, you should read both of the statements below and, for both statements , you should do the following: (a) identify what CLRM assumption is being violated; (b) state what affect i...
Suppose, at a local movie theater, the amount of money that a man spends at the concession has an average of 16 dollars and a standard deviation of 4.9 dollars. As well, the amount of money that a wom...
The management team at a manufacturing plan is contemplating eliminating the night shift for safety reasons after suspicion that lack of sleep was the primary driver in workplace accidents. They were ...
You decide to start taking coins out of your piggy bank. Currently, your piggy bank has 44 coins, of which 12 are toonies and 10 are loonies. Suppose that when you take a coin out, you do not put it b...
A consulting firm recommends that software engineers in a team should average 300 lines of code per engineer in a 40-hour work week. More than that tends to lead to avoidable errors and less than that...
  The management team at a manufacturing plan is contemplating eliminating the night shift for safety reasons after suspicion that lack of sleep was the primary driver in workplace accidents. They we...
You decide to start taking coins out of your piggy bank. Currently, your piggy bank has 42 coins, of which 12 are toonies and 6 are loonies. Suppose that when you take a coin out, you do not put it ba...
A manufacturer produces items with a rectangular base. Let random variables denote the respective length ( X ) and width ( Y ) of the rectangle (in cm). Suppose X and Y are independent with the follow...
Say you have a biased coin and you associate obtaining a head with the value 0 whereas obtaining a tail has a value of 2. Let X be the sum of the values obtained from tossing the coin three times. (Ro...
A group of people were surveyed about how many times they go to the grocery store in a week. The results are shown in the following contingency table. (Round your answers to 3 decimal places, if neede...
Respected Tutor, please help me to solve following question, as I am stuck in it, can you please please help to solve and explain following problem??? Let X1 and X2 be independent and identically dist...
Suppose you are playing a game. The random variable, Y , represents your net profit in dollars. The probability distribution of Y is as follows. (Round your answers to 4 decimal places, if needed.)  ...
The exchange rate between Currencies X and Y is currently Y0.05614 = X1.00. If X weakens by 1.5% relative to Y, what will be the new values for the exchange rates per unit of X and per unit of Y? (Ro...
A steel company in Hamilton can purchase Alberta coal at C$105 per metric tonne (1000 kg) or West Virginia coal at US$95 per ton (2000 lb). (1 kg = 2.205 lb) How much cheaper in C$ per metric tonne is...
Your credit card firm finds that, of 400 students receiving emails promoting a new credit card, 290 of them filled out an application. Among 60 students approached in-person at an on-campus event, 37 ...
You work for a firm that has invested heavily in an advertising campaign to increase sales at its stores this year, and you are tasked with evaluating whether to continue the campaign. In previous yea...
As a member of the student council at your university, you have been assigned the task of conducting a phone survey of graduate students to determine satisfaction with the campus food service. Explain...
Use the results from a survey of a simple random sample of 1272 adults. Among the 1272 respondents, 63% rated themselves as above average drivers. We want to test the claim that 3/5 of adults rate the...
As a member of the student council at your university, you have been assigned the task of conducting a phone survey of graduate students to determine satisfaction with the campus food service. Explain...
As a member of the student council at your university, you have been assigned the task of conducting a phone survey of graduate students to determine satisfaction with the campus food service. Explain...
Suppose that X, the number of customers arriving each hour at the only checkout counter in a local pharmacy, is approximately Poisson distributed with an expected arrival rate of 20 customers per hour...
Seven of the 50 digital video recorders​ (DVRs) in an inventory are known to be defective. What is the probability that a randomly selected item is​ defective?     The probability is     ​(T...