lary Problem 9.57 of beds fille ospital ad Supp she sets out to test to dete ple

Question

lary Problem 9.57 of beds fille ospital ad Supp she sets out to test to dete ple of 16 d ys of data population Number of Beds occupied per Day 77 1 08 99 17 172 87 (Round the intermediate values to 2 decimal places. Round your answer to 2 decinaalplaces.) The val of the test to reject e null hypothesi Click it you would like to show Work tor this question: All Rights Re tells the board of directors that, e, at Icast 18b bcds ple data to st the board filled day. or of the board heory. As of filled beds per da distributed dix A Statistical Tablas Question Attempts: o of 3 used SAVEFORLATER SUBMII ANSWEK

Explanation / Answer

Data:    

n = 16   

= 186   

s = 14.31   

x-bar = 175.06   

Hypotheses:    

Ho: 186   

Ha: < 186   

Decision Rule:    

= 0.01   

Degrees of freedom = 16 - 1 = 15

Critical t- score = -2.60248029   

Reject Ho if t < -2.60248029   

Test Statistic:    

SE = s/n = 14.31/16 = 3.5775

t = (x-bar - )/SE = (175.06 - 186)/3.5775 = -3.058001398

p- value = 0.003986137   

Decision (in terms of the hypotheses):    

Since -3.058001398 < -2.60248029 we reject Ho and accept Ha

Conclusion (in terms of the problem):    

There is sufficient evidence that < 186.

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