Fundamentals of Statistics (5th Edition)
Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.3, Problem 1AYU
  1. (a) Determine the critical value for a right-tailed test of a population standard deviation with 18 degrees of freedom at the α = 0.05 level of significance.
  2. (b) Determine the critical value for a left-tailed test of a population standard deviation for a sample of size n = 23 at the α = 0.1 level of significance.
  3. (c) Determine the critical values for a two-tailed test of a population standard deviation for a sample of size n = 30 at the α = 0.05 level of significance.
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1. In a study of annual salaries of employees, random samples were selected from two companies to test if there is a difference in average salaries. For Company "X", the sample was size 65, the sample mean was $47,000 and the population standard deviation is assumed to be $11,000. For Company "Y", the sample size was 55, the sample mean was $44,000 and the population standard deviation is assumed to be $10,000. Test for a difference in average salaries at a 5% level of significance. What is your conclusion? 2. A poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ago. Five years ago, a sample of 270 students showed that 120 considered themselves overweight. This year a poll of 300 students showed that 140 considered themselves overweight. At a 5% level of significance, test to see if there is any difference in the proportion of college students who consider themselves overweight between the two polls. What is your…
what is the critical value for a two-tailed z test with a = 0.05? (round to 2 decimal places)   what is the critical value for a two-tailed single sample t-test with a = 0.05 and N = 20? (round to 2 decimal places) what is the critical value for a two-tailed paired samples t test with a = 0.05 and N = 16? (round to 2 decimal places)   what is the critical for a two-tailed independent samples t test with a = 0.05 and N = 62? (round to 2 decimal places)
Using the z table, find the critical value (or values) for alpha = 0.12 right-tailed test.
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