Question

Suppose that we want to estimate the mean germination time of strawberry seeds. The germination times...

Suppose that we want to estimate the mean germination time of strawberry seeds. The germination times for the sample of strawberries we choose has a mean of 20

days and a standard deviation of 1.5 days. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean.

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

Sampling Scenario Z t could use either Z or t unclear
(1) The sample has size 15, and it is from a normally distributed population with unknown standard deviation.
(2) The sample has size 95, and it is from a non-normally distributed population.
(3) The sample has size 85, and it is from a non-normally distributed population with a known standard deviation of 1.3.
(4) The sample has size 11, and it is from a population with a distribution about which we know very little.
(5) The sample has size 18, and it is from a normally distributed population with a known standard deviation of 1.3.

Homework Answers

Answer #1

1)  The sample has size 15, and it is from a normally distributed population with unknown standard deviation.:t distribution

2)The sample has size 95, and it is from a non-normally distributed population. : Could use either z or t

3)The sample has size 85, and it is from a non-normally distributed population with a known standard deviation of 1.3. :Z distribution

4)The sample has size 11, and it is from a population with a distribution about which we know very little. :Unclear

5)The sample has size 18, and it is from a normally distributed population with a known standard deviation of 1.3: Z distribution

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