Test the claim about the population mean, mu, at the given level of significance

Question

Test the claim about the population mean, mu, at the given level of significance using the given sample statistics. Claim: mu notequalto 7000: alpha = 0.05. Sample statistics: x = 7300, s = 412, n = 35 Identify the null and alternative hypotheses. Choose the correct answer below. A. H_0: mu notequalto 7000 H_a: mu lessthanorequalto 7000 B. H_0: mu notequalto 7000 H_a: mu greaterthanorequalto 7000 C. H_0: mu notequalto 7000 H_a: mu = 7000 D. H_0: mu = 7000 H_a: mu notequalto 7000 E. H_0: mu lessthanorequalto 7000 H_a: mu notequalto 7000 F. H_0: mu greaterthanorequalto 7000 H_a: mu notequalto 7000 Calculate the standardized test statistic. The standardized test statistic is 4.31. (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) A. The critical value is B. The critical values are plusminus

Explanation / Answer

using minitab

Test of = 7000 vs 7000

N Mean StDev SE Mean 95% CI T P
35 7300.0 412.0 69.6 (7158.5, 7441.5) 4.31 0.000

Critical t-value (two-tailed):   +/- 2.03224451

p value lessthan alpha (0.000<0.05)

reject null hypothesis

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