Use the data and table below to test the indicated claim about the means of two populations. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Make sure you identify all values.
A statistics student at IVC was interested in comparing the amount of time spent watching commercials by female students as compared to male students. Independent simple random samples of 14 female students and 17 male students were selected, and each student was asked how many hours they had watched television commercials during the previous week. The summary statistics are listed in the table below. Is there compelling statistical evidence that the mean amount of time spent watching commercials is lower for female students than it is for male students? Use a significance value of 0.05.
Two-Sample T-Test
Sample N Mean time spent watching commercials Standard Deviation time spent watching commercials
Female 14 11.1 4.2
Male 17 17.8 4.3
Null Hypothesis, H0
Alternative Hypothesis, H1
Test Statistic, t
P-value
Significance level
Significance level
Conclusion
