*The U.S. Census Bureau collects data on the ages of married people. Suppose that eight married couples are randomly selected and have the ages given in the following table. Determine the 99%99% confidence interval for the true mean difference between the ages of married males and married females.
Let d=(age of husband)−(age of wife). Assume that the ages are normally distributed for the populations of both husbands and wives in the U.S.
| Husband | 26 | 55 | 58 | 54 | 49 | 60 | 64 | 54 |
|---|---|---|---|---|---|---|---|---|
| Wife | 24 | 53 | 48 | 57 | 60 | 63 | 55 | 49 |
Step 2 of 4:
Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Step 4 of 4:
Construct the 99% confidence interval. Round your answers to one decimal place.
The statistical software output for this problem is :

Critical value = 3.499
The 99% confidence interval is : (-7.2 , 10.0)
*The U.S. Census Bureau collects data on the ages of married people. Suppose that eight married...
The U.S. Census Bureau collects data on the ages of married people. Suppose that eight married couples are randomly selected and have the ages given in the following table. Determine the 80%80% confidence interval for the true mean difference between the ages of married males and married females. Let d=(age of husband)−(age of wife)d=(age of husband)−(age of wife). Assume that the ages are normally distributed for the populations of both husbands and wives in the U.S. Husband 31 48 49...
The U.S. Census Bureau collects data on the ages of married people. Suppose that eight married couples are randomly selected and have the ages given in the following table. Determine the 90% confidence interval for the true mean difference between the ages of married males and married females. Let d=(age of husband)−(age of wife). Assume that the ages are normally distributed for the populations of both husbands and wives in the U.S.: Husband: 75 41 62 38 53 27 59...
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