1 A food company wishes to determine whether a newly designed potato chip bag increases the length of time a big of chips remains fresh on the grocery shelf A random sample of potato chips with the old design of bag was compared to a random sample of potato chips with the new bag Summary statistics pertaining to the number of days the chips remained fresh are given below At a 95 level of confidence ( 05), the company wishes to investigate if the new bag has an increased freshness time over the old bag Assume equal population variances Summary Statistics Statistic New Bag (Sample 1) Old Bag (Sample 2) Difference (New Old) Sample Mean 21 2 days 20 8 days 0 4 days Sample Standard Deviation 2 5 days 2 8 days 0 3 days Sample Size 35 40 5 What are the Null and Alternate Hypothesis for this study What is the p value for this investigation that the new bag increases freshness What is the decision and conclusion What would be the Type I and Type II error in this study 2 A random sample of 20 UM students were asked about the age of their car (in years) The resulting normal probability plot and 1 sample t test of this data is provided below

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1. A food company wishes to determine whether a newly designed potato chip bag increases the length of time a big of chips remains fresh

1. A food company wishes to determine whether a newly designed potato chip bag increases the length of time a big of chips remains fresh on the grocery shelf. A random sample of potato chips with the old design of bag was compared to a random sample of potato chips with the new bag. Summary statistics pertaining to the number of days the chips remained fresh are given below. At a 95% level of confidence (? = .05), the company wishes to investigate if the new bag has an increased freshness time over the old bag. Assume equal population variances.

Summary Statistics

Statistic	New Bag (Sample #1)	Old Bag (Sample #2)	Difference (New - Old)
Sample Mean	21.2 days	20.8 days	0.4 days
Sample Standard Deviation	2.5 days	2.8 days	-0.3 days
Sample Size	35	40	-5

What are the Null and Alternate Hypothesis for this study?
What is the p-value for this investigation that the new bag increases freshness?
What is the decision and conclusion?
What would be the Type I and Type II error in this study?

2. A random sample of 20 UM students were asked about the age of their car (in years). The resulting normal probability plot and 1-sample t-test of this data is provided below: