A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to performthe required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use theP-value approach. Also, assess the strength of the evidence against the null hypothesis.x = 22,298, s = 14,200, n=17, Ho: μ = 30,000, H₂: μ#30,000 x = 0.05.O A. Test statistic: t= -2.24. P-value = 0.0250. Reject the null hypothesis. There is sufficient evidence toconclude that the mean is different from 30,000. The evidence against the null hypothesis is strong.B. Test statistic: t= -2.24. P-value = 0.0399. Reject the null hypothesis. There is sufficient evidence toconclude that the mean is different from 30,000. The evidence against the null hypothesis is strong.O C. Test statistic: t= -2.24. P-value = 0.9601. Do not reject the null hypothesis. There is not sufficientevidence to conclude that the mean is different from 30,000. The evidence against the nullhypothesis is weak or none.O D. Test statistic: t= -2.24. P-value = 0.0200. Reject the null hypothesis. There is sufficient evidence toconclude that the mean is different from 30,000. The evidence against the null hypothesis is strong.

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Answered: A sample mean, sample standard…

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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An IQ test is designed so that the mean is 100 and the standard deviation is 16 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 4 IQ points of the true mean. Assume that o = 16 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. ... The required sample size is (Round up to the nearest integer.) Would it be reasonable to sample this number of students? No. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly large number.
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, p, of the population from which the sample was drawn. Use the critical-value approach. x= 24.4, s = 9.2, n = 25, Ho: µ= 26, H,: µ < 26, a = 0.05 O A. Test statistic: t= - 0.87. Critical value: t= - 1.708. Do not reject H,. There is not sufficient evidence to conclude that the mean is less than 26. O B. Test statistic: t= - 4.35. Critical value: t= - 1.711. Reject Hp. There is sufficient evidence to conclude that the mean is less than 26. OC. Test statistic: t= - 4.35. Critical value: t= - 1.708. Reject Hn. There is sufficient evidence to conclude that the mean is less than 26. O D. Test statistic: t= - 0.87. Critical value: t= - 1.711. Do not reject Hn. There is not sufficient evidence to conclude that the mean is less than 26.
A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 10% significance level. x=35, n=21, a=5, Ho: μ = 34, H₂: μ#34 The test statistic is z = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) the null hypothesis. The data sufficient evidence to conclude that the mean is
A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 1% significance level. x=34, n=20, σ=7, H0: μ=37, Ha: μ≠37 The test statistic is z=___________ (Round to two decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) A. The critical values are ±zα/2=±_________ B. The critical value is zα=____________ C. The critical value is −zα=____________ ________________ (Do not reject, Reject) the null hypothesis. The data ____________ ( provide, do not provide) sufficient evidence to conclude that the mean is ______________ (not equal to 37, less than 37, equal to 37, greater than 37)
A sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 10% significance level. x=26 n=20, σ=6 H0: μ=24 Ha: μ>24 The test statistic is z=___________ (Round to two decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) A. The critical values are ±zα/2=±______________ B. The critical value is −zα=_____________ C. The critical value is zα=___________ _____ (Reject, do not reject) the null hypothesis. The data ____________________(do not provide, provide sufficient) evidence to conclude that the mean is (less than 40, equal to 40, not equal to 40, greater than 40)
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Determine P-Value.
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