Use a t-test to test the claim about the population mean at the given level of s

Question

Use a t-test to test the claim about the population mean at the given level of significance alpha using the given sample statistics. Assume the population is normally distributed. Claim: 29; =0.01Sample statistics: x overbar=26.5, s=4.9, n=12. What are the null and alternative hypotheses? Choose the correct answer below. 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 of the test statistic? P-value= (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis.

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 29
HA : 29

Hypothesis test results:

Hence,

Null and Alternative hypotheses:

H0 : = 29
HA : 29

Standardized test statistic = -1.77

P - value = 0.105

Decision: Fail to reject the null hypothesis

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