At a certain medical clinic new patients are weighed when they join the clinic. During the last five years, the patients’ weights have been normally distributed with mean 74 kg and standard deviation 6.4 kg This year, a random sample of 92 new patients were weighed and their mean weight was 75.4 kg. Assuming that the standard deviation has not changed, test at the 5% level whether there is evidence that the mean weight of the new patients has increased compared to previous patients.   can you solve this question by showing it step by step for the calculations? thanks in advance

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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At a certain medical clinic new patients are weighed when they join the clinic. During the last five years, the patients’ weights have been normally distributed with mean 74 kg and standard deviation 6.4 kg This year, a random sample of 92 new patients were weighed and their mean weight was 75.4 kg. Assuming that the standard deviation has not changed, test at the 5% level whether there is evidence that the mean weight of the new patients has increased compared to previous patients.

 

can you solve this question by showing it step by step for the calculations? thanks in advance

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