Use technology and a l-test to test the claim about he population mean mu at the
ID: 3225338 • Letter: U
Question
Use technology and a l-test to test the claim about he population mean mu at the given level of significance a using the given sample statistics Assume the population is normally distributed Claim mu > 74 alpha = 005 Sample statistics x = 758, s = 34, n = 28 What are the null and alternative hypotheses? Choose the correct answer below. A. H_o mu greaterthanorequalto 74 B. H_o mu notequalto 74 H_A MU = 74 C. H_o mu = 74 H_A mu notequalto 74 D. H_p mu lessthanorequalto 74 H_A mu > 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- values = (Round to three decimal places as needed) Decide whether to reject or tail to reject the null hypothesis Choose the correct answer below A. Reject H_o There is not enough evidence to support the claim B. Fail to reject H_o There is not enough evidence to support the claim C. Reject H_o There is enough evidence to support the claim.Explanation / Answer
All calculations below, please reward full points if you have got answers you were expecting. Thanks.
Mu = 74
alpha = .05
xbar =75.8
n = 28
Note: We use t tables since n<30 instead of Z
s = 3.4
C is the right answer
Ho: Mu = 74
Ha: Mu!= 74
t = (74-75.8)/(3.4/sqrt(28)) = -2.8014
p-value @ f = 28-1=27, and alpha = .05 is ->> P-Value is .009294.
The result is significant at p < .05.
Since p<.05 we can say that :
C. Failed to reject H0:There is enough evidence to support the claim
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