The executives of a supermarket chain are interested in knowing the amount of time customers spend shopping at their stores. It was indicated that the averagepurchase time,μ, of customers in supermarkets, it is38minutes but executives have good reason to believe thatuis greater than38minutes. The executives hire astatistical consultant and ask her to perform a statistical test. She collects a random sample of 150 shopping times in supermarkets.Suppose that the population of supermarket shopping times has a standard deviation of 10minutes and that the consultant performs its hypothesis test using thelevel of significance of0.01.Based on this information, answer the following questions. Take your intermediate calculations to at least four decimal places and round answers as indicated.(If necessary, see a list of formulas.)(to) What are the null hypothesesh and alternativeh What should be used to performthe test?ho: 0h₁:0(b) What is the probability that the consultant will reject the null hypothesis when, infact, it is true? Round your answer to two or more decimal places.(c) Assuming that the real value ofμis40minutes, What is the probability that theconsultant accepts the null hypothesis? Round your answer to two or more decimalμXI0=0☐#0aSOOР (b) What is the probability that the consultant will reject the null hypothesis when, infact, it is true? Round your answer to two or more decimal places.0(c) Assuming that the real value ofμis40minutes, What is the probability that theconsultant accepts the null hypothesis? Round your answer to two or more decimalplaces.0(d) Suppose that the consultant decides to carry out another statistical test with thesame population, the same null hypothesis, the same alternative hypothesis andthe same sample size, but in this second test the consultant uses a significancelevel of 0.05 instead of a significance level of0.01.Assuming that the real value ofμis40minutes, How does the power of this second test compare to the power of theoriginal test?O The power of the second trial is greater than the power of the original trialO The power of the second trial is less than the power of the original trialO The powers of the two tests are equal.0=00#0OSO 0200<0 ☐>0S

Answered: Image /qna-images/answer/114559da-7590-44b3-b1cc-d117a2b38878.jpg

Answered: f0.01. ation, answer the following…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Which of the following is a true statement? The p-value is the probability that the null hypothesis is true. O b. A small p-value implies weak evidence against the null hypothesis. O C. None of these. Od. The p-value is the probability that the alternative hypothesis is true. e. To reject the null hypothesis, it must be false.
The Jones family was one of the first to come to the U.S. They had 4 children. Assuming that the probability of a child being a girl is the same as a child being a boy, find the probability that the Jones family had:at least 2 girls? at most 3 girls? Give answers to 4 decimal places.
Sean thinks that he has a special relationship with the number 6. In particular, Sean thinks that he would roll a 6 with a fair 6-sided die more often than you'd expect by chance alone. Suppose pis the true proportion of the time Sean will roll a 6. (a) State the null and alternative hypotheses for testing Sean's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "-", "not =" and express any values as a fraction e.g. p = 1/3) Ho= Ha (b) Now suppose Sean makes n = 30 rolls, and a 6 comes up 6 times out of the 30 rolls. Determine the P-value of the test, giving your answer to 4 decimal places. Please use 3 decimal places in your test statistic when finding the P-value. P-value = ⠀⠀ (c) Answer the question: Does this sample provide evidence at the 5 percent level that Sean rolls a 6 more often than you'd expect? (Type: Yes or No) 4
The accompanying table shows the results from a test for a certain disease. Find the probability of selecting a subject with a negative test result, given that the subject has the disease. What would be an unfavorable consequence of this error? The individual actually O had the disease Yes No Positive 334 Negative 13 1176 EEE .E The probability is (Round to three decimal places as needed.) What would be an unfavorable consequence of this error? A. The test would be shown to be not effective. OB. The subject would experience needless stress and additional testing. Gradebo O C. The subject would not receive treatment and could spread the disease. Sco O D. The test would be shown to be not reliable. see scor
The data represent the results for a test for a certain disease, Assume one individual from the group is randomly selected. Find the probability of getting someone who tests positive, given that he or she had the disease. The individual actually had the disease Yes 130 23 No Positive Negative 13 134 The probability is approximately (Round to three decimal places as needed.)
Matt thinks that he has a special relationship with the number 2. In particular, Matt thinks that he would roll a 2 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Matt will roll a 2. (a) State the null and alternative hypotheses for testing Matt's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "=", "not =" and express any values as a fraction e.g. p = 1/3) Ho p= 1/6 = Ha= p > 1/6 (b) Now suppose Matt makes n = 34 rolls, and a 2 comes up 7 times out of the 34 rolls. Determine the P-value of the test: P-value = | (c) Answer the question: Does this sample provide evidence at the 5 percent level that Matt rolls a 2 more often than you'd expect? (Type: Yes or No) no
A recent study has shown that 68% of parents allow their children to ride their bicycles without using a helmet. If we randomly select 25 parents, what is the probability that exactly 18 of the parents allow their children to ride their bicycles without using a helmet? Compute your solution as a decimal and round your final answer to four decimal places. P(exactly 18) = __________
Two professors are applying for grants. Professor Jane has a probability of 0.66 of being funded. Professor Joe has probability 0.29 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent.Give your answer to four decimal places. 1. Given at least one of the professors is funded, what is the probability that Professor Jane is funded, but Professor Joe is not?
A company that explores for oil in the ocean is considering two new sites, A and B. The exploration will take the entire year. The company estimates the probability of finding oil is 0.19 at site A and 0.03 at site B. The sites are far enough apart so that whether or not oil is found at one site is independent of it being found at the other. Round your answers to three decimal places, and use four decimal places in any interim calculations. Find the probability that the company will find oil at both sites: .006 Hint: Try making a probability table. only one of the sites: 163 neither of the sites: least one of the sites:
A population proportion is 0.3. A sample of size 200 will be taken and the sample proportion will be used to estimate the population proportion. Use z-table. Round your answers to four decimal places. a. What is the probability that the sample proportion will be within ±0.03 of the population proportion? b. What is the probability that the sample proportion will be within ±0.05 of the population proportion?
The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tested negative, given that he or she had the disease. The individual actually had the disease Yes No Positive 144 Negative 20 127 The probability is approximately (Round to three decimal places as needed.)
When rolling two fair six-sided dice, getting a pair of 1s is called “snake eyes.” The probability of getting “snake eyes” on any roll is 1/36. Suppose that a game player rolls the two dice 80 times. Let X = the number of rolls that result in “snake eyes.” Find P(X = 2). Interpret this value in context.

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