Use technology and a t-test to test the claim about the population mean mu at th
ID: 3171558 • Letter: U
Question
Use technology and a t-test to test the claim about the population mean mu at the given level of significance alpha using the given sample statistics. Assume the population is normally distributed.
Claim: >74; =0.05Sample statistics: x overbarxequals=77.1, s=3.3, n=26
What are the null and alternative hypotheses? Choose the correct answer below.
A. H0: 74 HA: >74
B. H0: =74 HA: 74
C. H0: 74 HA: <74
D. H0: 7474 HA: e=74
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. Choose the correct answer below.
A. Reject Upper H0. There is enough evidence to support the claim.
B. Fail to reject H0. There isis enough evidence to support the claim.
C. Reject H0. There is not enough evidence to support the claim.
D. Fail to reject H0. There is not enough evidence to support the claim.
Explanation / Answer
Null and alternate hypothesis is A. H0: mu<=74 HA:mu>74
t test=xbar-my/(sd/sqrt(n))=77.1-74/(3.3/sqrt(26))=4.79
The P-Value is .009891.
The result is significant at p < .05.
As p value <alpha we reject H0, so c is answer
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