The average number of pounds of sliced ham ordered per customer at the deli where Dennis used to work was 1.4, but at his new job, the average of the 32 people who have ordered ham so far is 1.5 pounds, with a standard deviation of 0.3 pounds. a) Write the null and alternative hypotheses to test if the average amount of ham bought is higher at the new store.  H0:μ=     H1:μ>  b) For  α=0.025, find the rejection region in terms of z. [Write your answer with 2 decimal places.]  R:z≥  c) What test statistic corresponds to an  x¯ of 1.5 pounds? [Round your answer to 2 decimal places.]  z=  d) Should you reject the null hypothesis?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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The average number of pounds of sliced ham ordered per customer at the deli where Dennis used to work was 1.4, but at his new job, the average of the 32 people who have ordered ham so far is 1.5 pounds, with a standard deviation of 0.3 pounds.

a) Write the null and alternative hypotheses to test if the average amount of ham bought is higher at the new store.

 H0:μ=     H1:μ> 

b) For  α=0.025, find the rejection region in terms of z. [Write your answer with 2 decimal places.]

 R:z≥ 

c) What test statistic corresponds to an  x¯ of 1.5 pounds? [Round your answer to 2 decimal places.]

 z= 

d) Should you reject the null hypothesis? 

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Can you elaborate or explain more on how Z0.025 = 1.96? 

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