Question

A random sample of n₁ = 52 men and a random sample of n₂ = 48 women were chosen to wear a pedometer for a day.

The men’s pedometers reported that they took an average of 8,342 steps per day, with a standard deviation of

s₁ = 371 steps.

The women’s pedometers reported that they took an average of 8,539 steps per day, with a standard deviation of s₂ = 214 steps.

We want to test whether men and women have different mean step counts.  

The null hypothesis is H₀: μ₁ = μ₂. The alternative hypothesis is H_a: μ₁  μ₂ . (Fill in the blank to show the appropriate relation between μ₁ and μ₂.)

The degrees of freedom for the test are

The P-value for the test is .

The decision is to (reject or not reject)  the null hypothesis, at the 0.05 level of significance.

Answer 1

To Test :-

H0 :-  

H1 :-  

Test Statistic :-


t = -3.2829

Test Criteria :-
Reject null hypothesis if


DF = 82


Result :- Reject Null Hypothesis

Decision based on P value
P - value = P ( t > 3.2829 ) = 0.0015
Reject null hypothesis if P value <    level of significance
P - value = 0.0015 < 0.05 ,hence we reject null hypothesis
Conclusion :- Reject null hypothesis

The decision is to ( reject )  the null hypothesis, at the 0.05 level of significance.