Author Question: A city newspaper has stated that the average time required to sell a used car advertised in the ... (Read 78 times)

haleyc112 · **on:** Jun 24, 2018

A city newspaper has stated that the average time required to sell a used car advertised in the paper is less than 5 days.

Assuming that the population standard deviation is 2.1 days, if the true population mean is 4.1 days and a sample size of n = 49 is used with an alpha equal to 0.05, the probability that the hypothesis test will lead to a Type II error is approximately .0869.
Indicate whether the statement is true or false

Question 2

How would you respond to a statement that says that by increasing the sample size, the amount of sampling error will be decreased?

What will be an ideal response?

wergv · **Reply #1 on:** Jun 24, 2018

Answer to Question 1

TRUE

Answer to Question 2

We might respond by saying that in the long run the statement is true. That is, in situations where repeated random samples are selected, larger samples would result in less extreme sampling error on average. However, in a given situation there is no guarantee that a larger sample size will result is less sampling error. By chance, the smaller sample might provide a sample mean that is actually closer to the population mean than would occur from a particular larger sample.