The ages of undergraduate students at two universities (one in the east and one in the west) are being compared.  Researchers want to know if there is a difference in the mean age of students at the two universities.  The population standard deviations are known. The following data shows the results of samples collected at each institution:              School Location       n        sample mean       population std. dev.              West                         33             26.78                           6.29              East                           35             23.16                           7.52 What is the value of the test statistic for this problem?  (Enter your answer as a positive value even if you calculated a negative test statistic value i.e. if you calculated -1.311 you should enter 1.311).  Round your answer to 3 decimal places. what is the p-value for this test (round to 3 decimal places)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The ages of undergraduate students at two universities (one in the east and one in the west) are being compared.  Researchers want to know if there is a difference in the mean age of students at the two universities.  The population standard deviations are known. The following data shows the results of samples collected at each institution:

             School Location       n        sample mean       population std. dev.

             West                         33             26.78                           6.29

             East                           35             23.16                           7.52


What is the value of the test statistic for this problem?  (Enter your answer as a positive value even if you calculated a negative test statistic value i.e. if you calculated -1.311 you should enter 1.311).  Round your answer to 3 decimal places.

what is the p-value for this test (round to 3 decimal places)?

 

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