Question

Provided for you is the dataset of 25 Chiefs that were questioned about how often per week they work out since COVID began. Take a sample size of 10 and determine the hypothesis of the mean. The expected mean is 3 times per week. My hypothesis is greater than or equal to 3 times per week.

H₀ : µ = 3.0

H₁ : µ ≥ 3.0

n = 25

x = 10

Include the null and alternative hypothesis, alpha value, p-value and a conclusion. Make sure that you use the appropriate terminology, specify whether you are using the classical method or the p-value method and fully explain your answer.

Answer 1

Population size = 25

Sample size = 10 (n)

Null hypothesis :

Alternate : \

Consider

Let estimated standard deviation be and estimated mean be .

We can perform t-test to check the hypothesis, since sample size is small. If sample size would have been large, we could have used Z-test.

t- statistic =

If t-value with degree of freedom (10-1 = 9) with cutoff = 0.05 = 1.833. (Use t-table one sided)

So, we reject null hypothesis if, and fail to reject if otherwise.