The mean SAT score in mathematics, μ, is 552. The standard deviation of these scores is 47. A special preparation course claims that its graduates will score higher, on average, than the mean score 552. A random sample of 20 students completed the course, and their mean SAT score in mathematics was 555. Assume that the population is normally distributed. At the 0.05 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 47.Perform a one-tailed test. Then fill in the table below. he null hypothesis: H0:   The alternative hypothesis: H1:   The type of test statistic:               The value of the test statistic: (Round to at least three decimal places.)   The p-value: (Round to at least three decimal places.)   Can we support the preparation course's claim that its graduates score higher in SAT?   Yes     No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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The mean SAT score in mathematics, μ, is 552. The standard deviation of these scores is 47. A special preparation course claims that its graduates will score higher, on average, than the mean score 552. A random sample of 20 students completed the course, and their mean SAT score in mathematics was 555. Assume that the population is normally distributed. At the 0.05 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 47.Perform a one-tailed test. Then fill in the table below.

he null hypothesis:
H0:
 
The alternative hypothesis:
H1:
 
The type of test statistic:        
     
The value of the test statistic:
(Round to at least three decimal places.)
 
The p-value:
(Round to at least three decimal places.)
 
Can we support the preparation course's claim that its graduates score higher in SAT?
 
Yes
 
 
No

 

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