Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: u= 52,500; a = 0.05 Sample statistics: x= 53,637, s = 2400, n = 18 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. O A. Ho u= 52,500 H, ut 52,500 OC. Ho u2 52,500 H, µ<52,500 O B. Họj u 52,500 H, u= 52,500 OD. Ho us 52,500 H, u> 52,500 What is the value of the standardized test statistic? The standardized test statistic is O (Round to two decimal places as needed.) What is(are) the critical value(s)? The critical value(s) is(are) O. (Round to three decimal places as needed. Use a comma to separate answers as needed ) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho. There is enough evidence to reject the claim. O B. Fail to reject Ho. There is enough evidence to reject the claim.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed.
Claim: µ = 52,500; a = 0.05 Sample statistics: x= 53,637, s= 2400, n = 18
Click the icon to view the t-distribution table.
What are the null and alternative hypotheses? Choose the correct answer below.
Ο Α. Hρ μ= 52,500
Hai µ#52,500
B. Ho: µ+ 52,500
Hai µ = 52,500
O C. H μ 52,500
Ha: µ< 52,500
Ο D. Hρ με 52,500
Hạ: µ> 52,500
What is the value of the standardized test statistic?
The standardized test statistic is
|. (Round to two decimal places as needed.)
What is(are) the critical value(s)?
The critical value(s) is(are)
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Decide whether to reject or fail to reject the null hypothesis.
O A. Reject Ho. There is enough evidence to reject the claim.
O B. Fail to reject Ho. There is enough evidence to reject the claim.
Click to select your answer(s).
Transcribed Image Text:Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: µ = 52,500; a = 0.05 Sample statistics: x= 53,637, s= 2400, n = 18 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. Ο Α. Hρ μ= 52,500 Hai µ#52,500 B. Ho: µ+ 52,500 Hai µ = 52,500 O C. H μ 52,500 Ha: µ< 52,500 Ο D. Hρ με 52,500 Hạ: µ> 52,500 What is the value of the standardized test statistic? The standardized test statistic is |. (Round to two decimal places as needed.) What is(are) the critical value(s)? The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho. There is enough evidence to reject the claim. O B. Fail to reject Ho. There is enough evidence to reject the claim. Click to select your answer(s).
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