Suppose we are contracted by the Justice Department to study the extent of juvenile delinquency.  We take a random sample of 100 juveniles, and we find that the mean number of crimes committed is 12 with a standard deviation of 7. Test the null hypothesis that the mean number of crimes committed by the population of juveniles is less than or equal to 11.  Use a significance level of .05.  (Be sure to show the numeric results that lead to your decision.)  Do we reject the null hypothesis here? why or why not.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Suppose we are contracted by the Justice Department to study the extent of juvenile delinquency.  We take a random sample of 100 juveniles, and we find that the mean number of crimes committed is 12 with a standard deviation of 7.

Test the null hypothesis that the mean number of crimes committed by the population of juveniles is less than or equal to 11.  Use a significance level of .05.  (Be sure to show the numeric results that lead to your decision.) 

Do we reject the null hypothesis here? why or why not.

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