Statistics and Probability questions and answers in February 2021

1.A board-game club meets each week at the local library. People bring different board games to play, like checkers and chess. Out of the 50 people that meet each week, 67% prefer to play checkers ove...
The results of the latest writing of the LSAT (Law School Aptitude Test) showed results that were normally distributed with a mean score of 803 and a standard deviation of 64. What percent of students...
A tool company claims that the mean number of defective screws they produce per box is 72. The mean number of defective screws in 100 randomly chosen boxes was found to be 76, with a standard deviatio...
The results of the latest writing of the LSAT (Law School Aptitude Test) showed results that were normally distributed with a mean score of 837 and a standard deviation of 55. (a) What percent of stud...
Is a pie chart or a histogram better at displaying relative frequencies for a qualitative variable? I am having trouble determining because both can be used. Which one is a characteristic of a binomia...
The mean SAT score in mathematics is 548 . The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the fo...
A new gasoline substitute has been developed. An experiment is to be conducted to determine whether the new gas gives a better gas mileage to older vehicles than newer models, it was determined that c...
Describe two data analysis situations in which MANOVA would be appropriate in your area of research. Include an explanation on what types of uncontrolled variables or covariates might be operating in ...
A statistician has to decide on the basis of one observation whether the parameter 𝜃 of a Bernoulli distribution is 1/4 or 1/2 ; his loss ( a penalty that is deducted from his fee ) is $80 if he is...
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 320 babies were​ born, and 288 of them were girls. Use the sample data to construct a 99​% ...
Regression analysis can be described as ________. A.) a statistical hypothesis test in which the sampling distribution of the test statistic is a chi-square distribution when the null hypothesis is tr...
The result for a Pearson's  r  for students' perceived learning and their sense of community was,  r (45) = .72,  p  = .02. What can the researcher conclude? Group of answer choices There is no ...
In a science fair​ project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her righ...
Which of the following are least likely to be the primary means of investigating normality in a distribution  X ? a)Graphically display your data in a histogram and use the eyeball test to see if the...
Suppose a person infected with coronavirus went to a maskless indoor party with 11 other people. Of the 11 people, 4 stood 3 feet apart from them and talked loudly with them for an hour. The other 7 p...
The difference between the observed value and the predicted value for a particular variable (residual) can be used to estimate how far the prediction lies from the actual observed data. Consider that ...
Based on past surveys over several years, a small business believes that 75% of their customers are satisfied with their services. Due to the recent conditions, changes in policy and additional charge...
1a) You work part-time in an ice cream shop. You begin to take note of which ice cream flavors the customers who showed up today ordered. Out of the three flavors your shop offers, vanilla was chose b...
A particular lake is known to be one of the best places to catch a certain type of fish. In this table,  x  = number of fish caught in a 6-hour period. The percentage data are the percentages of ...
The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 card...
1. "What is the population percent of the adult population is infected with this disease?" Sample percentage = 4.9% Margin of error = 1.3% (Found with 95% confidence level.) 3. What is the population ...
1. Describe each of the following symbols. What does the symbol represent? Is the symbol describing a sample statistic or a population parameter? N , n , π , p̂ , µ , x̅, σ , s , 𝜎𝜎2, 𝑠?...
in a city located by the equator, the average yearly temperature will exceed 100 degrees Fahrenheit 62% of the time. what is the probability that for the past 50 years, the temperature has exceeded 10...
A newspaper provided a​ "snapshot" illustrating poll results from 1910 professionals who interview job applicants. The illustration showed that​ 26% of them said the biggest interview turnoff is...
Please help solve this D Question 19 1 pts If the researchers failed to reject their null hypothesis, what type of error might they have committed? O Type I error: failing to reject a null hypothesis ...
Please help me solve this Question 31 1 pts A random sample of 100 adults were selected from Rexburg and their fasting blood sugar was measured. The sample had a mean of 110 mg/dL. Which of the follow...
Please help me solve this. D Question 21 1 pts J. Aitchison collected expenditures data for 20 randomly selected single men and 20 randomly selected single women. He uses the data to conduct a hypothe...
Please help me solve this D Question 18 1 pts High butterfat content in cow's milk is very valuable for dairy farmers. Since not all breed of cows cost the same when building a herd, it is important t...
Please help me solve this. D Question 11 1 pis A 95% confidence interval for the mean GPA of all students at Bethlehem university was [2.831, 3.653]. Use this information for all parts. Part 1: What w...
Please help me solve this. 1 pts For your travel agency's blog you want to write a piece about planning a trip to Disneyland. Specifically, you want to quantify for readers how much shorter the wait f...
Please use R studio and provide the code. Part2) Random Variables - 25 points Consider a game which involves rolling three dice. Write the R code for the following. Using the rollDie function from the...
A manager is considering placing an ad campaign on an emerging social media platform (e.g., Snap). To understand the demographics of usage for this platform, the manager takes a random sample of poten...
Replacement times for Maytag washer and dryer sets are normally distributed with a mean of 6.1 years and a standard deviation of 1.8 years. Round all final answers to 3 decimals. (a) Find the replacem...
Only 14% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 366 randomly selected registered voters surveyed, 33 of them will vote in t...
Students taking an introductory statistics class reported spending an average of 245 dollars on textbooks that semester with a standard deviation of 60 dollars. a. 68 percent of students between _____...
I just understand the concept and have spend too much time, still no luck. One hypothesis I have is this: My claim here is that the efficiency of my work increases if I stop using social media for 30d...
The data in the table to the right are based on the results of a survey comparing Commute Time the commute time of adults to their score on a well-being test. Complete parts (a) (in minutes) Well-Bei...
Taylor Swift and Kanye West are playing a dice rolling game. Kanye has rolled 3 straight sums of 7 and then states he is betting against rolling a 7 on the next roll because it is less likely to occur...
1. Though 70% of women with children younger than 18 years participate in the labor force, society still upholds the stay-at-home mother as the traditional model. Some believe that employment distract...
Falcon Chocolates makes quality chocolate products and sells its products through a website. You work in Falcon's marketing department and your team has been tasked with developing new strategies to i...
State two common post hoc procedures for the comparison of means in an ANOVA. How do these differ from planned contrasts? Given a situation where a researcher intends to demonstrate that a treatment v...
What is the  p -value (corresponding to your test statistic in problem 3)? Researchers conducted a study to investigate the factors affecting the progression of pneumonia in novel coronavirus disease...
Researchers conducted a study to investigate the factors affecting the progression of pneumonia in novel coronavirus disease 2019 (COVID-19) patients who were admitted to three tertiary hospitals in W...
For questions 7-12, refer to the following information: Researchers conducted a study to evaluate which of two medications, Drug A or Drug B, is more effective in treating headaches. Each patient was...
For questions 7-12, refer to the following information: Researchers conducted a study to evaluate which of two medications, Drug A or Drug B, is more effective in treating headaches. Each patient was...
Researchers conducted a study to evaluate which of two medications, Drug A or Drug B, is more effective in treating headaches. Each patient was administered Drug A for one headache and Drug B for a di...
For questions 1-6, refer to the following information:  Researchers conducted a study to investigate the factors affecting the progression of pneumonia in novel coronavirus disease 2019 (COVID-19) pa...
Mancia et al. (2020) conducted a case-control study in the Lombardy region of Italy to examine the association between the use of angiotensin-converting-enzyme (ACE) inhibitors and the odds of coronav...
Mancia et al. (2020) conducted a case-control study in the Lombardy region of Italy to examine the association between the use of angiotensin-converting-enzyme (ACE) inhibitors and the odds of coronav...
Mancia et al. (2020) conducted a case-control study in the Lombardy region of Italy to examine the association between the use of angiotensin-converting-enzyme (ACE) inhibitors and the odds of coronav...
Mancia et al. (2020) conducted a case-control study in the Lombardy region of Italy to examine the association between the use of angiotensin-converting-enzyme (ACE) inhibitors and the odds of coronav...
D& T LTD marketing team needed more information about the effectiveness of their 3 main mode of advertising. To determine which type is the most effective, the manager collected one week's data f...
please include steps to better understand how you came to your answer. You decide to invest in stock in a particular type of company and set the guideline that you will only buy stock in companies tha...
A) The results from a statistics class' first exam are as follows: The average grade obtained on the exam by its 45 students is an 85, with a standard deviation of 15 points. Answer the following base...
The results from a statistics class' first exam are as follows: The average grade obtained on the exam by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based o...
An ethologist is interested in how long it takes a certain species of water shrew to catch its prey. He only has access to a sample of 100 shrews. On multiple occasions each day he lets a dragonfly l...
An ethologist is interested in how long it takes a certain species of water shrew to catch its prey. He only has access to a sample of 100 shrews. On multiple occasions each day he lets a dragonfly l...
The results from a statistics class' first exam are as follows: The average grade obtained on the exam by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based o...
What do you think 'A' and 'B' could be, and what would your interpretation of the data be in that case? Imani is excited — she has been working on her 4th year thesis project focused on food securit...
The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates. Use the frequency distribution to approximate the population mean and population standard deviation....
The results from a statistics class' first exam are as follows: The average grade obtained on the exam by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based o...
The results from a statistics class' first exam are as follows: The average grade obtained on the exam by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based o...
Recently, a random sample of 25-34 year olds was​ asked, "How much do you currently have in​ savings, not including retirement​ savings?" The data in the table represent the responses to the ...
Please include steps that you used to arrive at your answers: 1) You decide to invest in stock in a particular type of company and set the guideline that you will only buy stock in companies that are ...
1.      A random sample of 3200 adults was obtained and their employment and educational status was determined according to the information below. If one person is randomly selected, answer the ...
1.      There are 8 runners about to run a race for which there will be a gold, a silver, a platinum, and a bronze medal.     a)     How many different possibilities are there for how the...
  1.      True or False   a)    A sample is a subset of a population.     b)    The range, variance and standard deviation all provide measures of the spread of a dataset.   c)   ...
1.       Match the appropriate measurement scale to the random variable. Random Variables: 1.      Age 2.      Hair color 3.      IQ 4.      Top ten popular songs, rated ...
1.       A random sample of 40 bus riders was surveyed on a particular stop of a route on a Monday between 2:00 and 3:00 pm. The frequency distribution below shows the distribution of wait time...
1.       There are 8 runners about to run a race for which there will be a gold, a silver, a platinum, and a bronze medal.  a)      How many different possibilities are there for how the ...
1.     The following probability distribution table is for the random variable, x, the number of children under the age of 20 years in households of a small town. Remember to show all work to ans...
I am attaching the question as well as the formulas and tables to be used if need. Please check. "Note: z-values greater than 3.89 produce a probability of one. HOLMES INSTITUTE LIE Sheet1 Critic...
An analysis of variance demonstrated the following results,  F (2, 27) = 5.56,  p  = .007. There were five groups. What can be concluded based on these results? Group of answer choices Post hoc an...
An One-Way analysis of variance was conducted to evaluate the null hypothesis that there is no difference in high school students' level of satisfaction based on their family's socioeconomic status. T...
The Analysis of Variance (ANOVA) is used to determine if there is a difference between means of two or more unrelated groups on the same continuous dependent variable. If you reject the null using an...
The degrees of freedom for the  F  test for the One-Way ANOVA depends on: Group of answer choices total sample size and the number of groups total sample size number of groups magnitude of the varia...
Which of the following pieces of information is   needed to decide on a sample size that will provide adequate statistical power for an One-Way ANOVA? Group of answer choices the population effect si...
The result of a One-Way ANOVA for total stress symptoms among four groups of teachers (pre-k, elementary, middle, high school) was  F (3, 117) = 3.827,  p  < .05. The corresponding effect size w...
Each participant in the study was assigned to a group (Group 1, Group 2, and Group 3). Since the ANOVA was significant, pairwise comparisons were conducted. The researcher found,  F ( ? ,108) = 6.6...
Relax mortgage has gathered following data to examine the relationship between housing starts and mortgage interest rate. Interest rate Housing start 3.5 100 3.0 120 2.8 150 3.6 130 2.75 170 3.4 135 3...
The mean time to assemble a piece of furniture is 52 minutes. Suppose the the assembly times are normally distributed with a standard deviation of 4.3 minutes. What percentage of assembly times fall ...
The mean time to assemble a piece of furniture is 52 minutes. Suppose the the assembly times are normally distributed with a standard deviation of 4.3 minutes. Between what two times do 99.7% of the ...
Question 2 (1 point) Saved A survey found that 83% of Canadians have a smartphone, 39% of Canadians have a tablet and 28% of Canadians have both. What is the probability that a randomly selected Cana...
According to a recent survey the mean monthly cell phone for Canadians is $68.72. Suppose monthly cell phone bills are normally distributed with a standard deviation of $8.46. What is the probability...
The mean daily TV viewing time per houshold is 8.2 hours. Suppose the daily TV viewing times are normally distributed with a standard deviation of 2.1 hours. What viewing time is 1.43 standard deviat...
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 30 weeks. Assume that the length of unemployment is normally distributed with po...
counting and probability The executives in a company are four women and three men.  Three are to be chosen at  random to attend a management seminar.   a. If one of the executives is chosen at ra...