n a previous study conducted several years ago, a man owned on average  14 dress shirts. The standard deviation of the population is 3. A researcher wishes to see if that average has changed. He selected a random sample of 45 men and found that the average number of dress shirts that they owned was 13.8. At α=0.05, is there enough evidence to support the claim that the average has changed? Assume that the variable is normally distributed. Use the critical value method with tables.   Critical value(s): -1.96, 1.96 Compute the test value. Always round z score values to at least two decimal places. Does this reject the null hypothesis?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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In a previous study conducted several years ago, a man owned on average 

14 dress shirts. The standard deviation of the population is 3. A researcher wishes to see if that average has changed. He selected a random sample of 45 men and found that the average number of dress shirts that they owned was 13.8. At α=0.05, is there enough evidence to support the claim that the average has changed? Assume that the variable is normally distributed. Use the critical value method with tables.
 
Critical value(s): -1.96, 1.96
  1. Compute the test value. Always round z score values to at least two decimal places. Does this reject the null hypothesis? 

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ISBN:
9780321964038
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Pearson Addison Wesley,