When do we use the t-distribution instead of the normal distribution to construct confidence intervals for a population mean, ?? when Population Standard Deviation ? is known when Population Standard Deviation ? is unknown when Sample Standard Deviation s is known when Sample Standard Deviation s is unknown
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When should the $t$ distribution be used to find a confidence interval for the mean?
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When would you use the t-distribution procedure to find the confidence interval for the population mean? Select one: a. When you do not know the standard deviation of a normally distributed population. b. When the only thing that you know about a population is its size. c. When you are working with a population that does not have a normal distribution. d. Only when you have the standard deviation and the mean of a normally distributed population
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Choosing a Distribution use the standard normal distribution or the $t$ -distribution to construct a $95 \%$ confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. If convenient, use technology to construct the confidence interval. In a random sample of 50 people, the mean body mass index (BMI) was 27.7 and the standard deviation was $6.12 .$ (Adapted from Centers for Disease Control).
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