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ASK THE PROFESSOR FORUM

Course Documents

Chapter 1 - Intro

Chapter 2 - Methods for Describing Sets of Data

Chapter 3 - Probability

Chapter 4 - Discrete Random Variables

Chapter 5 - Normal Random Variables

Chapter 6 - Sampling Distributions

Chapter 7 - Confidence Intervals

Chapter 8 - Tests of Hypothesis: One Sample

Chapter 9 - Confidence Intervals and Hypothesis Tests: Two Samples

Sample Exam I: Chapters 1 & 2

Sample Exam II: Chapters 3 & 4

Sample Exam III: Chapters 5 & 6

Sample Exam IV: Chapters 7 & 8

Ask the Professor Forum

Can you please show how you solved question #30 in section 8.4 which says the following:

Use the given information to find the p-value:

Claim: ยต < 15 Test Stat: Z = 1.58

Thank you.

Posted to STATS 2 on Wednesday, August 14, 2013   Replies: 1


Professor Mcguckian
08/15/2013
1:29 AM EST

Hi Joe,
This is a good one to ask about.  Notice, it is a left-tailed hypothesis test since Ha has a < symbol.   This means we have to find the area to the left of the test statistic in order to find the p-value.  The area to the left of 1.58 is greater than 50% since 1.58 is on the right half of the curve.  When we look up 1.58 we get 0.4429 for the area from 1.58 to 0.  We then have to add 0.5000 to account for the left half of the curve.  The final answer is 0.9429. 

Hope that helps,

Professor McGuckian

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