9.3 Probability Distribution Needed for Hypothesis Testing
Matching a test statistic to the situation: normal when sigma is known, Student's t when it is estimated, and a normal approximation for proportions.
Introductory Statistics 2e, 9.3 Probability Distribution Needed for Hypothesis Testing
7 exercises
9.3 Exercise 1
Which two distributions can you use for hypothesis testing for this chapter?
9.3 Exercise 3
Which distribution do you use when the standard deviation is not known and you are testing one population mean? Assume sample size is large.
9.3 Exercise 5
A population has a mean of 25 and a standard deviation of five. The sample mean is 24, and the sample size is 108. What distribution should you use to perform a hypothesis test?
9.3 Exercise 7
You are performing a hypothesis test of a single population mean using a Student’s t-distribution. What must you assume about the distribution of the data?
9.3 Exercise 9
You are performing a hypothesis test of a single population proportion. What must be true about the quantities of np and nq?
9.3 Exercise 11
You are performing a hypothesis test of a single population proportion. The data come from which distribution?
9.3 Exercise 12
It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per night, on average. A survey of 22 LTCC Intermediate Algebra students generated a mean of 7.24 hours with a standard deviation of 1.93 hours. At a level of significance of 5%, do LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average? The…
Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.