A woman at a grocery store wanted to purchase a 5 lb bag of apples but thought s

Question

A woman at a grocery store wanted to purchase a 5 lb bag of apples but thought she was first weigh the bag on the store scale to verify the weight. The store scale read 4.5 lbs. The woman alerted the store manager of her finding he weighed 100 bags of apples from his store in the average weight turned out to be 4.38 lb with a SD of 0.5 lbs. After the manager contacted the packaging company they conducted their own investigation they weighed 100 bags of the 5 lb bags that they had just package at the plant and came up with an average weight of 4.95 pounds. with a SD of 0.5 lbs. Is the lower apple bag weight observed at the grocery store likely to be due to chance variation? To answer this question, you will use:

A. the one sample Z test 
B. the two sample Z test 
C. the t-test 
D. the x2 test with a null hypothesis that tells you the contents of the box (goodness of fit)
E. the x2 test for independence 
F. correlation 
G. regression 
H. none of above

Explanation / Answer

Ans:

We can use two samples t test(independent samples),as we are intrested in knowing if the sample of 100 bags wieghed at store was lower due to chance.

So,Option C is correct.

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