Question

part 1.

A commonly cited standard for one-way length (duration) of school bus rides for elementary school children is 30 minutes.

A local government office in a rural area conducts a study to determine if elementary schoolers in their district have a longer average one-way commute time. If they determine that the average commute time of students in their district is significantly higher than the commonly cited standard they will invest in increasing the number of school busses to help shorten commute time. What would a Type 2 error mean in this context?

a. The local government decides that the average commute time is 30 minutes.

b. The local government decides that the data provide convincing evidence of an average commute time higher than 30 minutes, when the true average commute time is in fact 30 minutes.

c. The local government decides that the data do not provide convincing evidence of an average commute time higher than 30 minutes, when the true average commute time is in fact higher than 30 minutes.

d. The local government decides that the data do not provide convincing evidence of an average commute time different than 30 minutes, when the true average commute time is in fact 30 minutes.

Part 2.

Two samples, each with n = 15 participants, produce a pooled variance of 30. Using this information, what is the value of the standard error for the sample mean difference?
a. 2
b. 4.28
c. 2.06
d. There is not enough information

Answer 1

type 2 error

failure to reject false null hypothesis.

here OPTION is C

The local government decides that the data do notprovide convincing evidence of an average commute time higher than 30 minutes, when the true average commute time is in fact higher than 30 minutes.