You are interested in finding a 98% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 11 randomly selected non-residential college students. Round answers to 3 decimal places where possible. 18 18 27 17 15 7 11 15 9 12 19 a. To compute the confidence interval use a ? z or t distribution. b. With 98% confidence the population mean commute for non-residential college students is between ___ and ____miles. c. If many groups of 11 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About what ____ percent of these confidence intervals will contain the true population mean number of commute miles and about ____ percent will not contain the true population mean number of commute miles.
You are interested in finding a 98% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 11 randomly selected non-residential college students. Round answers to 3 decimal places where possible.
18 | 18 | 27 | 17 | 15 | 7 | 11 | 15 | 9 | 12 | 19 |
a. To compute the confidence interval use a ? z or t distribution.
b. With 98% confidence the population mean commute for non-residential college students is between ___ and ____miles.
c. If many groups of 11 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About what ____ percent of these confidence intervals will contain the true population mean number of commute miles and about ____ percent will not contain the true population mean number of commute miles.
a.
A t test will be used, when the population standard deviation is unknown and either the population distribution is normal or the sample size is large (> 30).
A z test will be used, when the population standard deviation is known and either the population distribution is normal or the sample size is large (> 30).
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