Question

Imagine that you are next interested in discovering whether or not there are differences in minutes spent exercising per day between males (coded as “1”) and females (coded as “2”) in your sample. You hypothesize that males exercise more minutes per day than females. You performed descriptive analyses and found that minutes spent exercising was approximately normally distributed in both groups (skewness = .26 for males, skewness = .07 for females). You therefore decided to perform an independent samples t test to examine your hypothesis.

2. Imagine that you are next interested in discovering whether or not there are differences in minutes spent exercising per day between males (coded as “1”) and females (coded as “2”) in your sample. You hypothesize that males exercise more minutes per day than females. You performed descriptive analyses and found that minutes spent exercising was approximately normally distributed in both groups (skewness = .26 for males, skewness = .07 for females). You therefore decided to perform an independent samples t test to examine your hypothesis. Group Statistics Std. Error Mean N Mean Std. Deviation MinutesExercising Gender 1.00 2.00 46.2857 44.3750 26.79394 23.38675 5.06358 4.77380 24 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means sig 95% Confidence interval of the Difference Lower Upper Mean Difference Sig. (2-tailed) Std. Error Difference MinutesExercising df 50 .527 272 .787 1.91071 7.03328 -12.21605 16.03748 Equal variances assumed Equal variances not assumed 275 49.978 .785 1.91071 6.95910 -12.06720 15.88862 a) To interpret this test correctly, should we assume that there is equal variance across the two groups or not? b) How do you know? c) How many minutes on average do males spend exercising per day? Females? d) Interpret the findings. In your own words, explain whether or not your hypothesis was supported.

a) To interpret this test correctly, should we assume that there is equal variance across the two groups or not?

b) How do you know?

c) How many minutes on average do males spend exercising per day? Females?

d) Interpret the findings. In your own words, explain whether or not your hypothesis was supported.

Answer 1

a) Yes, we can assume that there is equal variances across the two groups.

b) Explanation: For testing equality of variances we have to use levene's F test. From the given output table, we can observe that levene's F test 'p' value found to be, p = 0.471 > 0.05

Hence we have to assume equality of variances between two groups.

c) On average males are spending more (46.2857) minutes than females (44.3750) on exercising per day.

d) Here we are not supporting the hypothesis. ( Fail to reject the null hypothesis)

Explanation: From the output table, the t statistic 'p' value was 0.787

Therefore p=0.787 > 0.05

Hence we fail to reject the null hypothesis.

Conclusion: There was not enough evidence that, males exercise more minutes per day than females