A researcher at the University of Nebraska is interested in finding a 90% confidence interval for the mean number of times per week that professors send emails. The study included 141 professors who averaged 38.3 emails per week. The standard deviation was 17.5 emails. Round answers to 3 decimal places. a. To compute the confidence interval use a ? distribution.

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A researcher at the University of Nebraska is interested in finding a 90% confidence interval for the mean number of times per week that professors send emails. The study included 141 professors who averaged 38.3 emails per week. The standard deviation was 17.5 emails. Round answers to 3 decimal places.

a. To compute the confidence interval use a [dropdown] distribution.

b. With 90% confidence the population mean number of emails per week is between [blank] and [blank] emails.

c. If many groups of 141 randomly selected professors are studied, then a different confidence interval would be produced from each group. About [blank] percent of these confidence intervals will contain the true population number of emails per week and about [blank] percent will not contain the true population mean number of emails per week.
Transcribed Image Text:A researcher at the University of Nebraska is interested in finding a 90% confidence interval for the mean number of times per week that professors send emails. The study included 141 professors who averaged 38.3 emails per week. The standard deviation was 17.5 emails. Round answers to 3 decimal places. a. To compute the confidence interval use a [dropdown] distribution. b. With 90% confidence the population mean number of emails per week is between [blank] and [blank] emails. c. If many groups of 141 randomly selected professors are studied, then a different confidence interval would be produced from each group. About [blank] percent of these confidence intervals will contain the true population number of emails per week and about [blank] percent will not contain the true population mean number of emails per week.
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