# Question

Identify the distribution (normal, Student t, chi-square) that applies to each of the following situations. (If none of the three distributions is appropriate, then so state.)

a. In constructing a confidence interval of m, you have 50 sample values and they appear to be from population with a skewed distribution. The population standard deviation is not known.

b. In constructing a confidence interval estimate of m, you have 50 sample values and they appear to be from a population with a skewed distribution. The population standard deviation is known to be 18.2 cm.

c. In constructing a confidence interval estimate of s, you have 50 sample values and they appear to be from a population with a skewed distribution.

d. In constructing a confidence interval estimate of s, you have 50 sample values and they appear to be from a population with a normal distribution.

e. In constructing a confidence interval estimate of p, you have 850 survey responses and 10% of them answered “yes” to the first question.

a. In constructing a confidence interval of m, you have 50 sample values and they appear to be from population with a skewed distribution. The population standard deviation is not known.

b. In constructing a confidence interval estimate of m, you have 50 sample values and they appear to be from a population with a skewed distribution. The population standard deviation is known to be 18.2 cm.

c. In constructing a confidence interval estimate of s, you have 50 sample values and they appear to be from a population with a skewed distribution.

d. In constructing a confidence interval estimate of s, you have 50 sample values and they appear to be from a population with a normal distribution.

e. In constructing a confidence interval estimate of p, you have 850 survey responses and 10% of them answered “yes” to the first question.

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