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1. A research concludes that the number of hours of exercise per week for adults is normally distributed with a mean of 4 hours and a standard deviation of 2.5 hours. Show all work. Just the answer, without supporting work, will receive no credit.
(a) What is the probability that a randomly selected adult has at least 5 hours of exercise per week (round the answer to 4 decimal places)
(b) Find the 75th percentile for the distribution of exercise time per week. ( round the answer to 2 decimal places)
2. Assume the SAT Mathematics Level 2 test scores are normally distributed with a mean of 500 and a standard deviation of 100. Show all work. Just the answer, without supporting work, will receive no credit.
(a) Consider all random samples of 64 test scores. What is the standard deviation of the sample means? (Round your answer to three decimal places)
(b) What is the probability that 64 randomly selected test scores will have a mean test score that is between 490 and 520? (Round your answer to four decimal places)
Compute the average number of delayed patients, Lq, for this system. The variance of the sum independent random variables is the sum of the variance.
Is the study result statistically significant? Write a sentence that interprets the p value of 0.03 in relation to the study results. Use 0.03 in your sentence.
A coin is tossed 3 times. Discrete random variable X is equal to the number of times Heads comes up. Discrete random variable Y has the value 1 if the first toss comes up heads and 0 otherwise.
Find a 90% confidence interval for the mean amount left by all groups.
Explain the difference between linear and nonlinear relationships between two variables. Explain the difference between a simple and a multiple regression model
Baseball: Home Run Percentage The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages (Reference: The Baseball Encyclopedia, Macm..
The city of Vancouver Office of Emergency Management reported that 911 operators receive an average of 7.2 calls per hour. Assume that the number of 911 calls follows Poisson distribution
find the value ofnbspznbspthat would be used to test the difference between the proportions given the following. use g
Assume that a manufacturer of tennis balls produces a ball whose bounce from six feet is normally distributed with a mean of 42 inches and a variance.
several statistical tests have a way to measure effect size. what is this and when might you want to use it in looking
(a) Show the leftmost derivation of the following string. (b) Show the rightmost derivation of the following string.
A magazine article stated that the average age of women who are getting married for the first time is 26 years. A researcher decided to test this hypothesis at α = .02. She selected a sample of 25 women who were recently married for the first time..
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