Question

In: Statistics and Probability

We claim that the body mass index (BMI) for men is statistically the same as the...

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.

Solutions

Expert Solution

We conclude that the two means are statistically equal.

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