Hello im struggling to figure this question out. It is commonly believed that the mean body temperature of a healthy adult is 98.6∘F98.6∘F. You are not entirely convinced. You believe that it is...


Hello im struggling to figure this question out.


It is commonly believed that the mean body temperature of a healthy adult is 98.6∘F98.6∘F. You are not entirely convinced. You believe that it is not 98.6∘F98.6∘F. You collected data using 36 healthy people and found that they had a mean body temperature of 98.21∘F98.21∘F with a standard deviaiton of 1.18∘F1.18∘F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F.



a)Identify the null and alternative hypotheses?


H0H0: ? p = p ≠ p < p> p ≤ p ≥ μ = μ ≠ μ < μ> μ ≤ μ ≥


H1H1: ? p = p ≠ p < p> p ≤ p ≥ μ = μ ≠ μ < μ> μ ≤ μ ≥



b)What type of hypothesis test should you conduct (left-, right-, or two-tailed)?




  • left-tailed

  • right-tailed

  • two-tailed




c)Identify the appropriate significance level.





d)Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places.





e)Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places.





f)Do you reject the null hypothesis?




  • We reject the null hypothesis, since the p-value is less than the significance level.

  • We reject the null hypothesis, since the p-value is not less than the significance level.

  • We fail to reject the null hypothesis, since the p-value is less than the significance level.

  • We fail to reject the null hypothesis, since the p-value is not less than the significance level.






g)Select the statement below that best represents the conclusion that can be made.




  • There is sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F.

  • There is not sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F.

  • The sample data support the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F.

  • There is not sufficient sample evidence to support the claim that the mean body temperature of a healthy adult is not 98.6∘F98.6∘F.


Jun 07, 2022
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