A woman at a grocery store wanted to purchase a 5 pound bag of apples but though

Question

A woman at a grocery store wanted to purchase a 5 pound bag of apples but thought she would 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 and the average weight turned out to be 4.38 pounds with a SD of 0.5 pounds. After the manager contacted the packaging company, they conducted their own investigation. They weighed 100 bags of the 5 pound bags that they had just packaged at the plant and came up with an average weight of 4.95 lbs. with a SD of 0.5 pounds. You conduct a two-sample z test, and obtain a z-score of 5. Is the lower apple bag weight observed at the grocery store likely to be due to chance variation? Answer yes or no, and explain. Your explanation should be in results sentence format (include relevant summary statistics, the test statistic, and p value).

Explanation / Answer

Answer: No

Explanation:

Here null hypothesis, H0: The two mean wieghts are same

Alternate hypothesis H1: The two mean wieghts are not same

For a z score of 5, the p value is o, which is very low for any desired confidence level. Hence we should reject the null hypothesis that the two weights are equal and conclude that the mean weights are not equal and the difference is not due to chance variation.

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