Consider the following hypothesis test:A sample of 75 is used and the population standard deviation is 10. Compute the p-value and stateyour conclusion for each of the following sample results. Use a = 0.01. Round z value to twodecimal places and p-value to four decimal places. Enter negative values as negative numbers.a. T = 23z valuep-valueconclusion do not rejectb. = 25.1z valuep-valueconclusion reject= 20C. Tz valuep-valueXXconclusion do not reject++Ho : μ = 22Ha:μ #22+НоНоНо

We have given that The null and alternative hypothesis are H0 : µ = 22H1: µ ≠ 22 Population mean (µ)…

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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Use the data and table below to test the indicated claim about the means of two populations. Assume that the two samples are independent simple randor samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Make sure you identify all values. An Exercise Science instructor at IVC was interested in comparing the resting pulse rates of students who exercise regularly and the pulse rates of those who de not exercise regularly. Independent simple random samples of 16 students who do not exercise regularly and 12 students who exercise regularly were selected and the resting pulse rates (in beats per minute) were recorded. The summary statistics are presented in the table below. Is there compelling statistical evidence that the mean resting pulse rate of people who do not exercise regularly is greater than the mean resting pulse rate of people who exercise regularly? Use a significance value of 0.05. Two-Sample T-Test Sample…
You wish to test the following claim (Ha) at a significance level of a = 0.02. || 74.4 Ha:µ + 74.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 82.1 86.3 73.9 81.8 66.3 56.6 73.4 74.7 78.5 93.6 60 79.8 71.4 76.3 86.8 60 82.1 69.6 87.7 79.5 96.1 88.2 97.9 81.8 66.7 72 86.3 82.1 78.7 57.9 79.3 62.9 85.5 75 75.5 71.1 64 71.7 62.3 86.3 69.2 80.9 85.2 75.8 88.2 83.7 65.9 63.5 86.3 67.1 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
. A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 3.12 s = 0.59 n = 9 α = 0.01 H0: µ = 2.85 H1: µ > 2.85 The test statistics is (Round to three decimal places)
A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. State the conclusion for the test. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. μ n X S Men 11 11 97.53°F 0.76°F Women H₂ 59 97.46°F 0.69°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OB. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. OC. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. OD. Reject the null hypothesis. There is sufficient evidence to support the claim…
Westjet claims that it's avearage time to fly to Toronto from Thunder Bay is 121 minutes. A random sample of 29 flights from Thunder Bay to Toronto were observed and yeilded a mean of 140 minutes. Assuming that o = 3.1 do we have enough evidence to show that the mean flight is more than 121 minutes? Use a = 0.1 and use our tables. Select the correct null and alternative hypotheses: OA. Ho: X= 140,HA: X 121 OF. Ho X = 140,H₁ : X > 140 OG. None of the above Select the type of distribution to be used in this question: OA. Z-distribution B. t-distribution OC. Chi-Square distribution OD. None of the above The rejection region for this test is: OA. (-∞, -1.28) OB. (1.96,∞) OC. (1.645, ∞) OD. (1.28, ∞) OE. (-∞, -1.96) OF. (-∞, -1.645) OG. (-∞, -1.96) U (1.96,∞) OH. (-∞, -1.28) U (1.28,00) OI. (-∞, -1.645) U (1.645, ∞) OJ. None of the above Test statistic = The conclusion for this test is: OA. Fail to Reject Ho OB. Reject Ho OC. Fail to Reject HA OD. Reject HA OE. None of the above
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A population has a mean u= 81 and a standard deviation o = 21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 255. (Simplify your answer.) (Type an integer or decimal rounded to three decimal places as needed.)
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When 40 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 pounds and the standard deviation was 4.9 pounds. Use a 0.01 significance level to test the claim that the mean weight loss is greater than zero. D. Calculate the P-value E. State your decision about the hypotheses F Write a final, concluding statement that addresses the claim: There is _______________ Evidence to _________________ the claim that the mean weight loss is greater than 0 punds.
Suppose that you're running the following hypothesis test with a = 0.05 : H,:u= 2.00 H:u#2.00 a. If the population standard deviation is assumed to be 1.5, and a SRS of 25 observations yielded X = 2.57, then calculate the value of the test statistic that you would use to run this test. b. Determine the P-Value for the test statistic in part (a). c. Using the P-Value you calculated in part (b) state the Decision that you make about the null hypothesis. JUSTIFY YOUR DECISION.
A P-value is A. the correlation between two variables B. the ratio between the test statistic and the standard error C. the probability of incorrectly rejecting the null hypothesis D. None of the above E. the same as the significance level

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