Question

In Chapters 7 and 8, you studied estimation and hypothesis testing.

(a) What two sampling distributions are used in estimation and hypothesis testing of population means, proportions, paired differences, differences of means, and differences of proportions? (Select all that apply.)

the Student's z distribution

the standard t distribution

the standard normal distribution

the standard Student's distribution

the Student's t distribution

What are the criteria for determining the appropriate sampling distribution? (Select all that apply.)
known or unknown σ

known or unknown μ

normality

known or unknown population sizes

known or unknown population proportions

What graphics might be appropriate? (Select all that apply.)

a Student's t distribution showing the area(s) corresponding to the P-value

a scatterplot

a standard normal distribution showing the area(s) corresponding to the P-value

a standard normal distribution

a regression line

What methods of testing will you use? (Select all that apply.)

the critical P method

the P-region method

the critical region method

the P-value method

Answer 1

a) The standard normal distribution and the student's t distribution are used.

Option C and Option E are correct.

b) known or unknown σ and normality are the criteria to determine appropriate sampling distribution.

Option A and Option C are correct.

c) Appropriate graphics will be:

a Student's t distribution showing the area(s) corresponding to the P-value

a standard normal distribution showing the area(s) corresponding to the P-value

Option A and Option C are correct.

d) The critical region method or the P - value method can be used.

Option C and Option D are correct.