Estimate the mean for the population

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1. The population mean for an intelligence test is 100 with a standard deviation of 15. A sample of 200 students from a university has a mean of 102.

a. Construct a 95% confidence interval to estimate the mean for the population at the university. Interpret this interval in the context of this problem (in a complete sentence).

b. Construct a 99% confidence interval to estimate the mean for the population at the university. (don't need to interpret this interval)

2. The mean number of times a sample of 26 high school students checks Instagram in a week is 32 with a standard deviation of 13.

a. Construct a 95% confidence interval to estimate the population mean for the entire population of high school students. (don't need to interpret this interval)

b. Construct a 99% confidence interval to estimate the population mean for the entire population of high school students. Interpret this interval in the context of this problem (in a complete sentence).

3. Initially it may seem like a 100% confidence interval would be useful, but what is the problem with creating a 100% confidence interval?

Reference no: EM132479268

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