Sunnyside University claims that their incoming freshman have a higher than average SAT math scores. The national average is 530, with a standard deviation of 100. A sample of 30 incoming freshman at Sunnyside University has an average score of 550. Test the following hypothesis athte ?=0.05 significance level to see if Sunnyside is justified in their claim. ?0:?≤530 ??:?>530 Calculate the standardized test statistic ?=?⎯⎯⎯−??/?√ Round your answers to 2 decimal places. Calculate the p-value for the hypothesis test. Round your answer to 4 decimal places. Draw a conclusion and interpret your results.

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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Sunnyside University claims that their incoming freshman have a higher than average SAT math scores. The national average is 530, with a standard deviation of 100. A sample of 30 incoming freshman at Sunnyside University has an average score of 550. Test the following hypothesis athte ?=0.05 significance level to see if Sunnyside is justified in their claim.

 
?0:?≤530
??:?>530
 
Calculate the standardized test statistic ?=?⎯⎯⎯−??/?√
 
Round your answers to 2 decimal places.
 
 
 
 
Calculate the p-value for the hypothesis test. Round your answer to 4 decimal places.
 
 
 
 
Draw a conclusion and interpret your results.
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