Consider the following hypothesis test:Ho: μ ≤ 12Ha: μ> 12If a random sample of size 25 drawn from a normally distributed population provided a samplemean of 14 and a sample standard deviation of 4.39, what is the range for the p-value?Qp-value > 0.2000.100 < p-value < 0.2000.050 < p-value < 0.1000.010 < p-value < 0.0250.025 p-value < 0.050●JAMacBook Pro8WP田zoom(=

Answer:From the given data,The null and alternative hypotheses are:H0: Ha: This test is…

Answered: Consider the following hypothesis test:…

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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We want to perform the following hypothesis test for the average score of an exam in a statistics class: Ho: µ2 86, Hạ: µ < 86. Assuming that exam scores are normally distributed, we collect a random sample of 16 exam scores and obtain a mean of 77.5 and standard deviation of 15.19. What is the test statistic? Round your answer to four decimal places.
A company claims that the mean monthly salary for their managers is 11 thousand dollars. A sample of 49 managers has a mean monthly salary of 10.6 thousand dollars with a standard deviation of 1.3 thousand dollars. You want to perform a hypothesis test challenge the validity of the claim made by the company, at a significance level of α=0.10Your hypotheses are:Ho:μ=11,000Ha:μ<11,000(a) Find the test statistic, rounded to 4 decimal places.Test Statistic = (b) FInd the p-value, rounded to 4 decimal places.p-value =
ssume a significance level of alpha equals 0.05 and use the given information to complete parts (a) and (b) below. Original claim: The mean pulse rate (in beats per minute) of a certain group of adult males is 71 bpm. The hypothesis test results in a P-value of 0.0099 . a. State a conclusion about the null hypothesis. (Reject Upper H 0 or fail to reject Upper H 0 .) Choose the correct answer below. A. Reject Upper H 0 because the P-value is less than or equal to alpha . B. Fail to reject Upper H 0 because the P-value is less than or equal to alpha . C. Reject Upper H 0 because the P-value is greater than alpha . D. Fail to reject Upper H 0 because the P-value is greater than alpha . b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A. There is not…
Many people believe that the average number of Facebook friends is 150. The population standard deviation is 37.6. A random sample of 46 high school students in a particular county revealed that the average number of Facebook friends was 159. At =α0.01, is there sufficient evidence to conclude that the mean number of friends is greater than 150? A. State the hypotheses and identify the claim with the correct hypothesis. :H0 ▼claim or not claim :H1 ▼claim or not claimThis hypotheses test is a ▼one-tailed or two-tailed test B. Find the critical value(s) (c)Compute the test value. z= (d)Make the decision. reject or accept (e)Summarize the results. is there enough evidence to support the claim
Consider the following hypothesis test: Ho: μ 25 Ha: μ > 25 A sample of 40 provided a sample mean of 26.4. The population standard deviation is 5. a. Compute the value of the test statistic (to 2 decimals) 1.77 b. What is the p-value (to 4 decimals)2 0.9599 C, At α-.01, what is your conclusion? p-value is greater than 0.01, do not reject d. What is the rejection rule using the critical value? Reject H o if z is greater than or equal to 2.33
Assume a significance level of α=0.01 and use the given information to complete parts (a) and (b) below. Original claim: The mean pulse rate (in beats per minute) of a certain group of adult males is 73 bpm. The hypothesis test results in a P-value of 0.0918. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) Choose the correct answer below Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion?
Assume a significance level of a = 0.1 and use the given information to complete parts (a) and (b) below. Original claim: The standard deviation of pulse rates of a certain group of adult males is more than 17 bpm. The hypothesis test results in a P-value of 0.3772. a. State a conclusion about the null hypothesis. (Reject Ho or fail to reject Ho.) Choose the correct answer below. (...) O A. Reject Ho because the P-value is less than or equal to a. O B. Reject Ho because the P-value is greater than a. O C. Fail to reject Ho because the P-value is less than or equal to a O D. Fail to reject Ho because the P-value is greater than a. b. Without using technical terms, state final conclusion that addresses the original claim. Which of the following is the correct conclusion? O A. The standard deviation of pulse rates of the group of adult males is less than or equal to 17 bpm. O B. The standard deviation of pulse rates of the group of adult males is more than 17 bpm. O C. There is sufficient…
A sample mean, sample standard deviation, and sample size are given. Perform the required hypothesis test about the mean, μ, of the normal population from which the sample was drawn. H0: μ ≤ 2.85, Ha: μ > 2.85, x = 3.26, s = 0.55, n = 9, α = 0.05
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A sample of 36 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level. H: u = 50 H:u# 50 a. Is this a one- or two-talled test? OOne-tailed test • Two-tailed test b. What is the decision rule? OReject H, if -1.96 1.96 c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) Value of the leut statistic
A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n=186, x=6.55, s=2.05. Use a 0.05significance level to test the claim that the population mean of such ratings is less than 7.00.Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
Even though the population standard deviation is unknown, an investigator uses z rather than the more appropriate t to test a hypothesis at the .05 level of significance. Is the true level of significance larger or smaller than .05? Is the true critical value larger or smaller than that for the critical z?

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