Problem 3 (15 points) Is there a difference in the mean number of hours of exerc

Question

Problem 3 (15 points) Is there a difference in the mean number of hours of exercises per week between males and females? In order to answer this question, a number of males and females were randomly selected and their hours of exercises were recorded for a certain week. (1) (2 points) What are the basic assumptions for a two sample T proce- dure (2) (3 points) What is the test that must be performed to check the basic assumptions? What should we expect from the test so that we can continue with the two sample T procedure without taking extra actions on the data? Two-sample t test with unequal variances Std. Err Std Dev Variable [95% Conf Interval] Obs Mean Female Ex 168 8.110119 4010791 5.198579 7.31828 8.901958 MaleEx 193 9.875648 4368292 6.068625 9.014047 10.73725 361 9.054017 9.648206 3021442 5.740741 8.459827 Combined 5930296 1.765529 5992792 diff -2.931778 diff mean (FemaleEx) mean (MaleEx) t 2.9771 Ho diff 0 Satterthwaite's degrees of freedom 358.913 Ha: diff

Explanation / Answer

Solution3:

no of females=168

no of males=193

Solution4:

Diff in means of females and males=-1.766

Solution5:

95% confidence interval for diff in means of females and males=8.459 and 9.648

we are 95% confident that the diff in means of females and males lies in between 8.459 and 9.648

Solution6:

Null hypoothesis:

H0;diff =0

Alternative hypothesis:

Ha: diff not equal to zero

two tail t test
Solution7:

t=-2.98

Solution8

p value=0.0031

Solution9:

default significance le vel=0.05

p value =0.0031<0.05

Reject null Hypothesis

Accept alternative hypothesis.

there is sufficient evidence at 5% level of significance to support the claim that there is diff in the mean number of hours of exercises per week between females and males

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.