Question
In: Statistics and Probability
A researcher compared pockets in men’s and women’s jeans of the same size waistband. According to...
A researcher compared pockets in men’s and women’s jeans of the same size waistband. According to their data, the 38 women’s jean pockets had an average height of 15.20 cm, with a standard deviation of 2.65 cm, and the 44 men’s jeans had an average height of 16.75cm, with a standard deviation of 3.21 cm. Is this sufficient evidence at the 5% significance level to conclude that the men’s jeans’ pockets are significantly larger than the women’s? Do not round intermediate calculations.
|
|
Men’s Jeans |
Women’s Jeans |
|
n |
44 |
38 |
|
Mean height (cm) |
16.75 |
15.20 |
|
Sample standard deviation |
3.21 |
2.65 |
Solutions
Expert Solution
Let 
denote mean height of Men's Jeans and Women's Jeans
respectively.
There is sufficient evidence to conclude that the men’s jeans’ pockets are significantly larger than the women’s.
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