Suppose that we want to estimate the meangermination time of strawberry seeds. The germination times for the sample of strawberries we choose has a mean of days and a standard deviationof days. For each of the following samplingscenarios, determine which test statistic is appropriate to use when making inference statements about the population mean.

(In the table, refers to a variable having a standard normal distribution, and refers to a variable having a t distribution.)

sampling scenario

1. The same has size 85, and it is from a non-normally distributed population.

a. Z

b. T

c. Could use either Z or T

d. Unclear

2. The sample has size 75, and it is from a non-normally distributed population with a known standard deviation of 1.4.

a. Z

b. T

c. Could use either Z or T

d. Unclear

3. The sample has size 20, and it is from a normally distributed population with a known standard deviation of 1.4.

a. Z

b. T

c. Could use either Z or T

d. Unclear

4. The sample has size 14, and it is from a population with a distribution about which we know very little.

a. Z

b. T

c. Could use either Z or T

d. Unclear

5. The sample has size 13, and it is from a normally distributed population with unknown standard deviation.

a. Z

b. T

c. Could use either Z or T

d. Unclear

1. The same has size 85, and it is from a non-normally distributed population.

a. Z

b. T

c. Could use either Z or T

d. Unclear

*sample size is large enough for us to assume the sample mean is distributed normally, So we can use T if the standard deviation is unknown, or Z if the standard deviation is known. (however, the difference is very small)

2. The …

This solution briefly discusses the answers for each multiple choice question.