8. Use technology and 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....


8.




Use technology and 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>76​;

α=0.01

Sample​ statistics:
x=76.6​,

s=3.5​,

n=29










Question content area bottom



Part 1

What are the null and alternative​ hypotheses? Choose the correct answer below.








A.



H0​:

μ≥76



HA​:

μ<>







B.



H0​:

μ≤76



HA​:

μ>76



Your answer is correct.




C.



H0​:

μ=76



HA​:

μ≠76







D.



H0​:

μ≠76



HA​:

μ=76







Part 2

What is the value of the standardized test​ statistic?


The standardized test statistic is
0.92

0.92.

​(Round to two decimal places as​ needed.)

Part 3

What is the​ P-value of the test​ statistic?



​P-value=enter your response here


​(Round to three decimal places as​ needed.)





Jun 01, 2022
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