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: ( mu>80 ; alpha=0.01 quad ) Sample statistics: ( ar{x}=83.5, s=3.6, n=26 ) What are the null and alternative hypotheses? Choose the correct answer below. A. ( mathrm{H}_{0}: mu=80 ) B. ( mathrm{H}_{0}: mu geq 80 ) ( mathrm{H}_{mathrm{A}}: mu eq 80 ) ( mathrm{H}_{mathrm{A}}: mu<80 ) C. ( H_{0}: mu eq 80 ) D. ( H_{0}: mu leq 80 ) ( mathrm{H}_{mathrm{A}}: mu=80 ) ( mathrm{H}_{mathrm{A}}: mu>80 ) What is the value of the standardized test statistic? The standardized test statistic is ( 4.96 ). (Round to two decimal places as needed.) What is the P-value of the test statistic? P-value ( =square ) (Round to three decimal places as needed.)
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Step 1:** Null hypothesis: Population average = 80 Alternative hypothesis: Population average > 80 ** Show more…
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Test the claim about the population mean µ at the level of significance α. Assume the population is normally distributed. Claim: µ < 4715; α = 0.10 Sample statistics: x̄ = 4817, s = 5389, n = 52 What are the null and alternative hypotheses? Find the standardized test statistic t. Find the P-value. Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
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