The sales representative for a manufacturer of a new product claims that the product will increase output per machine by at least 29 units per hour. A line manager installs the product on 30 of the machines, and finds that the average increase was only 26 with a standard deviation of 6.2. Using a 5% significance level, which of the following statements is true?     Reject H0 if t statistic < -1.699     Reject H0 if t statistic > -1.711     Reject H0 if t statistic < -1.761     Reject H0 if t statistic < -2.16

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question 1:

The sales representative for a manufacturer of a new product claims that the product will increase output per machine by at least 29 units per hour. A line manager installs the product on 30 of the machines, and finds that the average increase was only 26 with a standard deviation of 6.2. Using a 5% significance level, which of the following statements is true?
   
Reject H0 if t statistic < -1.699
   
Reject H0 if t statistic > -1.711
   
Reject H0 if t statistic < -1.761
   
Reject H0 if t statistic < -2.16

 

Question 2:

What is the critical value for an upper‐tailed hypothesis test of the population mean when the population variance is unknown in which a null hypothesis is tested at the 0.10 level of significance based on a sample size of 19?
   
1.645
   
1.328
   
1.734
   
1.740
 
Question 3
A two-tailed test is performed at 95% confidence. The p-value is determined to be 0.0478. The null hypothesis
   
must be rejected
   
should not be rejected
   
could be rejected, depending on the sample size
   
has been designed incorrectly
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