Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. Claim: μ≥8200; α=0.01 Sample statistics: x=8000, s=470, n=21 What are the null and alternative hypotheses? A. H0: μ≤8200 Ha: μ>8200 B. H0: μ≠8200 Ha: μ=8200 C. H0: μ≥8200 Ha: μ<8200 D. H0: μ=8200 Ha: μ≠8200 What is the value of the standardized test statistic? The standardized test statistic is nothing. (Round to two decimal places as needed.) What is the P-value? P=nothing (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. A. Reject H0. At the 1% level of significance, there is not enough evidence to reject the claim. B. Fail to reject H0. At the 1% level of significance, there is enough evidence to reject the claim. C. Reject H0. At the 1% level of significance, there is enough evidence to reject the claim. D. Fail to reject H0. At the 1% level of significance, there is not enough evidence to reject the claim. Click to select your answer(s).
Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. Claim: μ≥8200; α=0.01 Sample statistics: x=8000, s=470, n=21 What are the null and alternative hypotheses? A. H0: μ≤8200 Ha: μ>8200 B. H0: μ≠8200 Ha: μ=8200 C. H0: μ≥8200 Ha: μ<8200 D. H0: μ=8200 Ha: μ≠8200 What is the value of the standardized test statistic? The standardized test statistic is nothing. (Round to two decimal places as needed.) What is the P-value? P=nothing (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. A. Reject H0. At the 1% level of significance, there is not enough evidence to reject the claim. B. Fail to reject H0. At the 1% level of significance, there is enough evidence to reject the claim. C. Reject H0. At the 1% level of significance, there is enough evidence to reject the claim. D. Fail to reject H0. At the 1% level of significance, there is not enough evidence to reject the claim. Click to select your answer(s).
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
Use a t-test to test the claim about the population mean
μ
at the given level of significance
α
using the given sample statistics. Assume the population is normally distributed.Claim:
μ≥8200;
α=0.01
Sample statistics:
x=8000,
s=470,
n=21
What are the null and alternative hypotheses?
H0:
μ≤8200
Ha:
μ>8200
H0:
μ≠8200
Ha:
μ=8200
H0:
μ≥8200
Ha:
μ<8200
H0:
μ=8200
Ha:
μ≠8200
What is the value of the standardized test statistic?
The standardized test statistic is
nothing.
(Round to two decimal places as needed.)What is the P-value?
P=nothing
(Round to three decimal places as needed.)Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
Reject
H0.
At the
1%
level of significance, there
is not
enough evidence to reject the claim.Fail to reject
H0.
At the
1%
level of significance, there
is
enough evidence to reject the claim.Reject
H0.
At the
1%
level of significance, there
is
enough evidence to reject the claim.Fail to reject
H0.
At the
1%
level of significance, there
is not
enough evidence to reject the claim.Click to select your answer(s).
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