A food manufacturing company claims that the actual average protein content in theirprotein bars is 20 grams. To investigate this claim, a sample of 25 protein bars from differentbatches are collected. The average and standard deviation of the samples are measured as18 and 2 grams, respectively. a) Although the manufacturer claims that the average protein content in each bar is 20grams, your hypothesis (seeing the sample average of 18) is that the actual proteincontent should be smaller than 20 grams, with 95% confidence. Investigate yourhypothesis. Based on your conclusion, is the manufacturer’s claim valid?b) Find p-value and make a conclusion based on that.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A food manufacturing company claims that the actual average protein content in their
protein bars is 20 grams. To investigate this claim, a sample of 25 protein bars from different
batches are collected. The average and standard deviation of the samples are measured as
18 and 2 grams, respectively. 
a) Although the manufacturer claims that the average protein content in each bar is 20
grams, your hypothesis (seeing the sample average of 18) is that the actual protein
content should be smaller than 20 grams, with 95% confidence. Investigate your
hypothesis. Based on your conclusion, is the manufacturer’s claim valid?
b) Find p-value and make a conclusion based on that.

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