In: Statistics and Probability
Compare the mean hours of sleep for males and the mean for females in these data. Compare the values and explain what can be concluded based on the numbers.
Mean hours of sleep for males: 7.556
Mean hours of sleep for females: 6.824
Female Hours of Sleep:
7 |
5 |
7 |
6 |
8 |
7 |
8 |
8 |
4 |
8 |
7 |
6 |
8 |
5 |
8 |
7 |
7 |
Male Hours of Sleep:
7 |
5 |
8 |
8 |
6 |
8 |
8 |
8 |
10 |
7 |
7 |
4 |
9 |
8 |
7 |
8 |
8 |
10 |
First we need to find the mean and SD of data sets. Following is the output of descriptive statistics:
Descriptive statistics | ||
Female Hours of Sleep: | Male Hours of Sleep: | |
count | 17 | 18 |
mean | 6.824 | 7.556 |
sample standard deviation | 1.2367 | 1.5038 |
sample variance | 1.53 | 2.26 |
minimum | 4 | 4 |
maximum | 8 | 10 |
range | 4 | 6 |
---------------------------------------------
Conclusion: There is no evidence to conclude that the mean hours of sleep for males and the mean for females are significantly different.