Homework: HW 10.3 Score: 0 of 1 pt nstructor-created question 3 of 12 Score: 0%,

Question

Homework: HW 10.3 Score: 0 of 1 pt nstructor-created question 3 of 12 Score: 0%, 0 of 12 Help ha' bng been ated that te mean temperature d humans is 9 F However, two msel een amont y in Mod in te sub o t thought that the mean temperature of humans is less than 988"E They measured a hypothesis test to judge whether the mean tomperature of humans is less than 986F at the a-0.01 level of signficance State the hypotheses Round to three decimal places as needed.) What can be concluded? O A. Do not reject Ho since the P.value is less than the significance level O B. Reject Ho since the P-value is less than the O C. Reject Ho since the P.value is not less than the significance level O D. Do not reject Ho since the Pivalue is not less than the significance level

Explanation / Answer

Solution:

Let mu be the population mean

Ho: mu = 98.6 (i.e. null hypothesis)
Ha: mu < 98.6 (i.e. alternative hypothesis)

The test statistic is
Z = (xbar-mu)/(s/?n)
= (98.4-98.6)/(1/sqrt(275))
= -3.3166

p-value = 0.0005
p-value is less than significance level i.e., 0.005 < 0.01
B. Reject Ho, since the p-value is less than the significance level.

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