In: Statistics and Probability
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 |
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.