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: μ28300; x = 0.01 Sample statistics: x=8100, s = 460, n = 21 What are the null and alternative hypotheses? OA. Ho: μ#8300 H₂: H=8300 C. Ho: H=8300 Ha: μ#8300 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? (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. B. Ho: ≤8300 H₂:μ>8300 OD. Ho: 28300 Hg: μ < 8300 OA. Fail to reject Ho. At the 1% level of significance, there is not 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. Fail to reject Ho. At the 1% level of significance, there is enough evidence to reject the claim. OD. Reject Ho. At the 1% level of significance, there is enough evidence to reject the claim. LO

MATLAB: An Introduction with Applications
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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 ≥ 8300; α = 0.01 Sample statistics: x=8100, s = 460, n = 21
What are the null and alternative hypotheses?
A. Ho: μ#8300
H₂:μ:
= 8300
C. Ho: μ = 8300
Ha: μ#8300
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.
...
Β. Η: μ≤8300
Ha: μ>8300
D. Ho: μ ≥8300
Hg: μ < 8300
O A. Fail to reject Ho. At the 1% level of significance, there is not enough evidence to reject the claim.
B. Reject Ho. At the 1% level of significance, there is not enough evidence to reject the claim.
C. Fail to reject Ho. At the 1% level of significance, there is enough evidence to reject the claim.
D. Reject Ho. At the 1% level of significance, there is enough evidence to reject the claim.
5
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 ≥ 8300; α = 0.01 Sample statistics: x=8100, s = 460, n = 21 What are the null and alternative hypotheses? A. Ho: μ#8300 H₂:μ: = 8300 C. Ho: μ = 8300 Ha: μ#8300 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. ... Β. Η: μ≤8300 Ha: μ>8300 D. Ho: μ ≥8300 Hg: μ < 8300 O A. Fail to reject Ho. At the 1% level of significance, there is not enough evidence to reject the claim. B. Reject Ho. At the 1% level of significance, there is not enough evidence to reject the claim. C. Fail to reject Ho. At the 1% level of significance, there is enough evidence to reject the claim. D. Reject Ho. At the 1% level of significance, there is enough evidence to reject the claim. 5
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