Question: 1. In constructing a confidence interval, s is used as an estimate of the population variance. True False 2. The critical value used for a
1. In constructing a confidence interval, s is used as an estimate of the population variance.
| True | |
| False |
2. The critical value used for a 99% confidence interval for a sample mean when the population standard deviation is known is 2.58.
| True | |
| False |
3. The researchers are not satisfied with their confidence interval and want to complete another study to find a shorter confidence interval. What should they change to ensure they find a shorter confidence interval?
| They should increase their confidence level and increase their sample size. | |
| They should increase their confidence level but decrease their sample size. | |
| They should decrease their confidence level but increase their sample size. | |
| They should decrease their confidence level and decrease their sample size. |
4. Decreasing the sample size, while holding the confidence level the same, will do what to the length of your confidence interval?
| make it bigger | |
| make it smaller | |
| it will stay the same | |
| cannot be determined from the given information |
5. When testing for differences between the means of two related populations, what is the null hypothesis?
| The difference between the population means is equal to 0. | |
| The difference between the population means is equal to 1. | |
| The difference between the population means is greater than 1. | |
| The difference between the population means is greater than 0. |
6. A Type I error occurs when we
| correctly fail to reject a false null hypothesis. | |
| correctly reject a false null hypothesis. | |
| incorrectly reject a false null hypothesis. | |
| incorrectly reject a true null hypothesis. |
7. A statistician wishes to determine the difference between two population means. A sample of 10 items from Population #1 yields a mean of 185 with a standard deviation of 20. The sample of 12 items from Population #2 yields a mean of 200 with a standard deviation of 25. Assume that the values are normally distributed in each population. How many degrees of freedom are there for this test?
| 11 | |
| 20 | |
| 22 | |
| 21 |
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