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. 7000 7700 140

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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Use a t-test to test the claim about the population mean μ at the given level of significance a using the given sample statistics. Assume the population is normally distributed.
Claim: μ ≥7900; a=0.01 Sample statistics: x=7700, s=440, n=23
What are the null and alternative hypotheses?
OA. Ho ≤7900
Η μ>7900
OC. Ho 27900
H₂ μ<7900
What is the value of the standardized test statistic?
The standardized test statistic is (Round to two decimal places as needed.)
What is the P-value?
P= (Round to three decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
OA. Fail to reject Ho. At the 1% level of significance, there is enough evidence to reject the claim.
OB. Reject Ho. At the 1% level of significance, there is not enough evidence to reject the claim.
OC. Reject Ho. At the 1% level of significance, there is enough evidence to reject the claim.
OD. Fail to reject Ho. At the 1% level of significance, there is not enough evidence to reject the claim.
as an ad
DELL
OB. Ho: #7900
H₂₁:μ=7900
OD. Ho H=7900
H₂ μ#7900
2
Decimals
Transcribed Image Text:Use a t-test to test the claim about the population mean μ at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: μ ≥7900; a=0.01 Sample statistics: x=7700, s=440, n=23 What are the null and alternative hypotheses? OA. Ho ≤7900 Η μ>7900 OC. Ho 27900 H₂ μ<7900 What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed.) What is the P-value? P= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. OA. Fail to reject Ho. At the 1% level of significance, there is enough evidence to reject the claim. OB. Reject Ho. At the 1% level of significance, there is not enough evidence to reject the claim. OC. Reject Ho. At the 1% level of significance, there is enough evidence to reject the claim. OD. Fail to reject Ho. At the 1% level of significance, there is not enough evidence to reject the claim. as an ad DELL OB. Ho: #7900 H₂₁:μ=7900 OD. Ho H=7900 H₂ μ#7900 2 Decimals
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