Researchers are concerned about the impact of full-time college students working while they are enrolled in classes, and they would like to know if students work too much and therefore are spending less time on their classes than they should be. First, the researchers need to find out, on average, how many hours per week students are working. They know from previous studies that the standard deviation of this variable is about 5 hours. A survey of 100 full-time college students provides a sample mean of 15 hours worked per week. a. Construct a 99% confidence interval for the mean number of hours worked by full-time college students each week and briefly interpret this interval. b. Suppose another researcher is interested in constructing a 99% confidence interval for the mean number of hours worked by full-time college students each week using a sample size of 200. Find this new interval and explain to the researcher why this value is different from the one calculated in part a
Researchers are concerned about the impact of full-time college students working while they are enrolled in classes, and they would like to know if students work too much and therefore are spending less time on their classes than they should be. First, the researchers need to find out, on average, how many hours per week students are working. They know from previous studies that the standard deviation of this variable is about 5 hours. A survey of 100 full-time college students provides a sample mean of 15 hours worked per week.
a. Construct a 99% confidence interval for the mean number of hours worked by full-time college students each week and briefly interpret this interval.
b. Suppose another researcher is interested in constructing a 99% confidence interval for the mean number of hours worked by full-time college students each week using a
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