In: Statistics and Probability
We claim that the body mass index (BMI) for men is statistically the same as the BMI for women. Data from a random sample of 40 men and 40 women is presented below:
BMI-M |
BMI-F |
||
Mean |
25.9975 |
Mean |
25.74 |
Standard Error |
0.542448 |
Standard Error |
0.974862 |
Median |
26.2 |
Median |
23.9 |
Mode |
23.8 |
Mode |
19.6 |
Standard Deviation |
3.430742 |
Standard Deviation |
6.16557 |
Sample Variance |
11.76999 |
Sample Variance |
38.01426 |
Kurtosis |
-0.13645 |
Kurtosis |
1.517743 |
Skewness |
0.356785 |
Skewness |
1.189501 |
Range |
13.6 |
Range |
27.2 |
Minimum |
19.6 |
Minimum |
17.7 |
Maximum |
33.2 |
Maximum |
44.9 |
Sum |
1039.9 |
Sum |
1029.6 |
Count |
40 |
Count |
40 |
Confidence Level(95.0%) |
1.097205 |
Confidence Level(95.0%) |
1.971845 |
use a classical test of hypothesis to test the claim that the two means are statistically equal.
Show all the steps and come to a conclusion.
We conclude that the two means are statistically equal.
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