Statistics and Probability questions and answers in June 2021

A sample of 2500 patients were taken to assess a medical test. 40% of the sample had a positive test, 563 patients have the disease and tested negative, and 235 patients do not have the disease and t...

4 students apply to a PhD program. The program accepts 70% of all applicants. Students are accepted and rejected independently of each other. Let the random variable X represent the number of the 4...

3 students apply to a PhD program. The program accepts 65% of all applicants. Students are accepted and rejected independently of each other. Let the random variable X represent the number out of t...

Question 7 4 p What is the clinical name of a probability that is used to determine the likelihood of someone having a disease when it is known they have a positive test. O Sensitivity O Specificity O...

Question 6 4 pt What is the clinical name of a probability that is used to determine the likelihood of someone having a negative test when it is known they do have the disease. O Sensitivity O Specifi...

4 students apply to a PhD program. The program rejects 45% of all applicants. Students are accepted and rejected independently of each other. Let the random variable X represent the number out of t...

How can interval procedure be applied at the workplace in the situation? refer to the links Web site: https://www.mathsisfun.com/data/confidence-interval.html https://mathbitsnotebook.com/Algebra2/Sta...

Question 9 Event B depends on event A if occurrence of A affects probability of B. occurrence of A does not affect probability of B. A and B cannot occur simultaneously. A and B can occur simultaneous...

Question 5 According to the NPD Group, 80% of the basketball shoes purchased in 2018 by Canadian men are never worn on a basketball court. A random sample of 15 men who purchased basketball shoes in 2...

Conduct a One-Sample Hypothesis Test of the Mean Individual Apartment Price in Melbourne According to the data that the real-estate investors collected, the mean individual apartment price withi...

A regional high-end specialty supermarket is considering opening a new store and is curious about the relationship between demographic data and the store sales in the existing stores. For example, are...

A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday). It has collected the following data based on a random sample of 100 days. Frequency Mon...

Real Estate Market Valuation Project (Part 2) Presentation to City Government Officials need help stuck and cannot figure out where to being are there any resources avaliable to stat 280 project part ...

Ben is measuring the effect that the potential energy of an object has on the height of an object's bounce Which variable represents the height of an object's bounce? Independent variable Confounding ...

The file problem5.xlsx contains data from a campaign run by a retailer for a period of 1 month. The retailer "bought" a set of adwords from Google and monitored the performance of those adwords over t...

An airline company is interested in improving customer satisfaction rate from the 61% currently claimed. The company sponsored a survey of 161 customers and found that 105 customers were satisfied. De...

Problem 6 This problem uses data in the file problem6.xlsx. The file contains data on Sales Orders at an online office supplies retailer in Canada. You need to establish a regression model with Profit...

9. Assume the weights of high school basketball players are normally distributed with a mean of 170 lbs and a standard deviation of 30 lbs. ( Show all work. Just the answer, without supporting work,...

8. Alice is into figure skating these days due to the construction of a new skating rink nearby. She started learning toe loop jumps a couple of weeks ago. Her probability of landing a successful si...

6. Answer the following two questions. ( Show all work. Just the answer, without supporting work, will receive no credit). (a) UMGC Stats Club is sending a delegation of 2 members to attend the 202...

4. There are 1000 patients at a hospital. Among the 1000 patients, 250 patients have Chills, and 300 patients have Fever. 100 patients have both chills and fever. Let C be the event that a randomly ...

3. A sample of 10 cell phones consists of 1 defective and 9 good cell phones. A quality control technician wants to randomly select two of the cell phones for inspection. Find the probability that t...

I am so stuck on these problems! I answered 7 (hopefully that is correct), but I cannot understand 8 at all. Thank you so so much!. Question 7 (3 points) Saved X + 1.96 * (sd / VN) The "study&quo...

Hi! This is 2 questions I have been stuck on for about an hour now. I am so confused and really need some help. Thank you so much!. Question 9 [1 point} A researcher hypothesizes that attitudes toward...

Hello! I am very confused on these two correlating questions. Thank you so much for your help!. A researcher thinks that listening to classical music reduces anxiety. She measures the anxiety of 10 pe...

Hi! So based off of my homework answers in 3 and 4, I was wondering if you could help me with question 5 at the bottom? I do not understand how you would be able to tell if candidate A is leading. Tha...

C3 Q5 V4: The survey data STATISTICSSTUDENTSSURVEYFORR contains the column WKHRSNEWS (a variable that measures the hours per week a student reads the news) and the column JTGOOD (a variable that answe...

Price of a refrigerator (PRICE) in dollars can be explained by its characteristics such as annual cost of operation (OPCOST) in dollars, total size in cubic feet of the refrigerator (REFRSIZE) [the to...

A survey shows that about 80% of those over the age of 65 years old are in danger of catching COVID-19. If 25 persons over the age of 65 are randomly selected (assuming a binomial distribution), answe...

1. Statistics professor Dr. Stat claimed his pulse rate at the peak of an exercise program was lower than the mean pulse rate of statistics students. Dr. Stat's pulse rate was measured to be ...

1. Researchers conducted a study to examine the association of program delivery factors with weight loss (WL) in enrollees in iDiet® , a commercial WL program. Data were collected on 644 adu...

Q 21 Question 21 Statistics professor Dr. Stat claimed his pulse rate at the peak of an exercise program was lower than the mean pulse rate of statistics students. Dr. Stat's pulse rate was measured t...

Q 16 Question 16 Suppose the heights among overweight patients are normally distributed with a mean of 70 in. and a standard deviation of 3 in. What is the probability that a randomly selected overwei...

Q 10 Question 10 Researchers conducted a study to examine the association of program delivery factors with weight loss (WL) in enrollees in iDiet® , a commercial WL program. Data were collected on 64...

Information For the following questions, identify types of variables by selecting one and only one of the following: a. Continuous b. Dichotomous c. Discrete d. Nominal e. Ordinal Q 6 Question 6 B...

Q 2 Question 2 Flores and Tomany-Korman (2008) examined racial/ethnic disparities in medical and oral health, access to care, and use of services using the National Survey of Children's Health, a tele...

1. Suppose the heights among overweight patients are normally distributed with a mean of 70 in. and a standard deviation of 3 in. What is the probability that a randomly selected overweight p...

Dexterity, as a measure of hand function, is an important component of a thorough hand evaluation. This is especially true in children, for whom the relationship between the commonly measured paramete...

Two tailed hypothesis testing for a population proportion (one sample) - What is the population parameter (The number of customers in the sample who made a purchase on the site, the number of customer...

Researchers conducted a study on post-menopausal women in a specific county to examine whether endometrial cancer was related to estrogen use. Cases of women with endometrial cancer were identified fr...

For the below questions, refer to the following: The Federal Trade Commission provided measured tar contents (in mg) of randomly selected filtered and nonfiltered king-size cigarettes. A random sampl...

Sample size (n) of home prices Sample mean home process (x) 95% Confidence Interval µ=x±1.96( 95% Confidence Interval (Written using Interval Notation) n=10 1095000 860080.1307 (658346,1531653) n=...

As part of your retirement planning, you purchase an annuity that pays 3% annual interest compounded quarterly a.If you make quarterly payments of $1800 how much will you have saved in 5 years? b.Inst...

Many people consider the number of calories in an ice cream bar as important as, if not more important than, the cost. The Consumer Reports article also included the calorie count of the rated ice cre...

Many people think that a national lobbyʹs successful fight against gun control legislation is reflecting the will of a minority of Americans. A random sample of 4000 citizens yielded 2250 who are in ...

Please show work ... and round probabilities to FOUR DECIMALS The following table summarizes results from 985 pedestrian deaths that were caused by accidents. Pedestrian Intoxicated Pedestrian w...

In 2012 it was reported that 64% of adult Americans watch football regularly. You think this percentage has increased. To do this you randomly sample 400 adults from across the United States. You ask ...

At a local store, 65 female employees were randomly selected and it was found that their mean monthly income was $625 with a standard deviation of $121.50. Seventy-five male employees were also random...

The Lakeside Coffee Shop morning customer load follows a normal distribution. The mean number of customers is 60 and the standard deviation is 15. If the store gets more than 70 customers, they need t...

The Lakeside Coffee Shop morning customer load follows a normal distribution. The mean number of customers is 60 and the standard deviation is 15. Determine the probability that the number of customer...

Family incomes have a mean of $60 000 with a standard deviation of $20 000. The data are normally distributed. Determine the probability that a randomly selected family has a family income less than ...

5. In a tree diagram, you have 4 ways to do the first event, 3 ways to do the second event, 5 ways to do the third and 4 ways to do the fourth. For each of the following, state whether it is true or...

As above, suppose that the random variables X and Y are jointly continuous and take values on the unit square, i.e., 0≤x≤1 and 0≤y≤1. The joint CDF on that set is of the form xy(x+y)/2...

A lightbulb is installed. With probability 1/3, it burns out immediately when it is first installed. With probability 2/3, it burns out after an amount of time that is uniformly distributed on [0,3...

Let X be an exponential random variable with parameter λ The probability that X>5 is?? The probability that X>5 given that X>2 is??? Given that X>2, and for a small δ>0, ...

On any given day, mail gets delivered by either Alice or Bob. If Alice delivers it, which happens with probability 1/4, she does so at a time that is uniformly distributed between 9 and 11. If Bob...

Carlos and Theresa each conducted two separate but similar studies. They each had similar experimental design, similar sample sizes, similar effect sizes and the same alpha cutoff (0.05) for statistic...

Q2. What type of graph is often used to display frequency of a discrete, scale variable? a. scatterplot b. histogram c. bar graph d. line graph Q4 In a study with three levels of factor A, how many...

Replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years. Find the probability that a randomly selected TV will have a replacement time les...

As humans we consume food. The body extracts good things such as proteins and vitamins and throws away waste. A typical waste product is uric acid. High levels of uric acid can be an indication of con...

A random sample of 100 two-month old babies is obtained, and the mean head circumference is found to be 40.6 cm. Assume that the population standard deviation is known to be 1.6 cm. Using a significan...

You want to examine whether omega-3 consumption is associated with body mass index (BMI) using linear regression. You use the following equation to fit your line: BMI = intercept + slope*omega-3 If yo...

A study concluded that the Relative Risk of lung cancer for people who smoke compared to people who do not smoke is 1.7 with a 95% CI of (1.2, 2.0). Which of the following statements is incorrect, bas...

Suppose Maria, an intern, computed a 99% bootstrap confidence interval for the mean heights of 5-year olds as [100 cm, 120 cm] at a pediatrician's office and her colleague, Tom, computed a 95% confide...

Two similar clinical trials were conducted independent of each other to test the effectiveness of a vaccine for malaria (an infectious disease). One of them reported a p-value which was statistically ...

Answer the following power questions:. The histogram below shows the P—values for a prospective study based on 50 simulations. For alpha = 0.05 and 0.2, what are the power of the study? a #Studies O...

Answer the following multiple-choice questions regarding box models:. What type of box model is appropriate for NHST for the two-group data presented below and why? Mondays Fridays 5.3 ' 3.5 3.6 '...