Male variables of the waist 75275675777078178879679981682585

Male variables of the waist:

75.2,75.6,75.7,77.0,78.1,78.8,79.6,79.9,81.6,82.5,85.0,86.7,86.9,87.1,87.7,87.7,88.0,89.1,90.6,91.1,91.3,91.5,91.8,92.4,93.1,94.9,95.0,96.5,97.1,98.9,102.9,103.0,103.0,103.3,103.3,103.8,104.0,105.5,107.5,108.7

Female variables of the waist:

67.2, 82.5, 66.7, 93.0, 82.6, 75.4, 73.6, 81.4, 99.4, 67.7, 100.7, 72.9, 85.0, 85.7, 126.0, 74.5, 74.5, 94.0, 92.8, 105.5, 75.5, 126.5, 70.0, 98.0, 104.7, 67.8, 99.3, 91.1, 74.5, 95.5, 79.5, 69.1, 105.5, 78.8, 85.7, 92.8, 72.7, 75.9, 68.6, 68.7

95% Confidence Interval for the difference for means of all males and females

Difference of mean of males and females: 6.25

95% CI for difference: (0.48, 12.03)

T-Value: 2.16

P-Value: 0. 034

DF: 66

95% Confidence Interval: (0.48, 12.03)

Hypothesis test with 0.05 significance to test if the mean of all males is different from the mean of all females.

Let:

U1: The mean waist for all males.

U2: The mean waist for all females.

Null hypothesis: (U1= U2)

Alternative hypothesis: (U1?U2)

Discuss of comparison of the results of hypothesis test and of the confidence interval for the difference of two means.

Solution

95% Confidence Interval: (0.48, 12.03)

This is 95% confidence interval for differene in means.

As 0 is not contained in this interval, we reject null hypothesis that two means are equal.

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p value = 0.034

Alpha = 0.05

As p < alpha, we reject null hypothesis that the two means are equal