Temperature
98.74
98.54
97.87
98.12
99.64
97.84
98.92
98.33
98.83
97.89
97.42
99.27
97.88
97.87
98.33
98.09
96.8
97.9
97.3
97.48

Normal body temperature? Arandom sample of 20 healthy adults was collected and their bodytemperatures were measured in degrees Fahrenheit. The data can befound in an excel file Body withvariable name Temperature. Dothese data give evidence that the true mean body temperature forhealthy adults is not equal to the traditional 98.6 degreesFahrenheit? Test an appropriate hypothesis at 5% level ofsignificance. (50 pointstotal)

Source: Moore, D., Notz, W. and Fligner, M. (2015). TheBasic Practice of Statistics(7^thedition). New York, NY: W. H. Freeman andCompany.

Label the parameter: (4points)

State null and alternative hypotheses: (6points)

H₀:

H_a:

Propose an appropriate hypothesis test. Explain!(4 points)

Verify the required conditions for the proposed hypothesis test:(8 points)

Randomizationassumption:

Normalityassumption:

Note: For your future reference, saveyour R codes and normal QQ plot on your machine:

Using R, report test statistic, df, andp-value. (9points)

Test statistic =

df =

p-value=

         Note: Foryour future reference, save your R codes and outputs on yourmachine:

Interpret test statistic: (4points)

Interpret the P-value in context:(6 points)

Make a decision of hypothesis test: (4points)

Make a conclusion of hypothesis test in context:(5 points)