Additional questions not showed: b.) Calculate the standardized test statistic.

Question

Additional questions not showed:

b.) Calculate the standardized test statistic. C.) Determine the critical value(s). D.) Determine the outcome and conclusion of the test.

Test the claim about the population mean, mu, at the given level of significance using the given sample statistics. Claim: mu = 30: alpha = 0.05. Sample statistics: x bar = 28.8, s = 3.88, n = 67 Identify the null and alternative hypotheses. Choose the correct answer below. A. H_0: mu notequalto 30 H_a: mu = 30 B. H_0: mu = 30 H_a: mu > 30 C. H_0: mu > 30 H_a: mu = 30 D. H_0: mu

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
: Mean of population
H0 : = 30
HA : 30

Hypothesis test results:

Hence,

Null and alternative hypotheses: Option F is correct.

Test statistic = -2.532 (Rounded off to 3 decimal places)

Critical values = -1.997, 1.997 (Rounded off to 3 decimal places)

Conclusion: Reject Ho; sufficient evidence to reject the claim.

Mean Sample Mean Std. Err. DF T-Stat P-value 28.8 0.47401744 66 -2.5315524 0.0137

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