1. Hypothesis Testing - o Please complete the following 5-step hypothesis testin
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1. Hypothesis Testing - o Please complete the following 5-step hypothesis testing procedure in your Learning Teams: A simple random sample of forty 20-oz bottles of Coke® from a normal distribution is obtained and each bottle is measured for number of ounces of Coke® in the bottle. The sample mean is 19.4 oz with standard deviation of 1.8 oz. Test the claim at an alpha significance level of 5% that on average there is exactly 19.8 oz of Coke® in each bottle. 2. Hypothesis Testing - o Please complete the following 5-step hypothesis testing procedure in your Learning Teams: A simple random sample of ten 20-oz bottles of Coke® from a normal distribution is obtained and each bottle is measured for number of ounces of Coke® in the bottle. The sample mean is 19.4 oz with standard deviation of 1.8 oz. Test the claim at an alpha significance level of 5% that on average there is more than 19.8 oz of Coke® in each bottle. 1. Hypothesis Testing - o Please complete the following 5-step hypothesis testing procedure in your Learning Teams: A simple random sample of forty 20-oz bottles of Coke® from a normal distribution is obtained and each bottle is measured for number of ounces of Coke® in the bottle. The sample mean is 19.4 oz with standard deviation of 1.8 oz. Test the claim at an alpha significance level of 5% that on average there is exactly 19.8 oz of Coke® in each bottle. 2. Hypothesis Testing - o Please complete the following 5-step hypothesis testing procedure in your Learning Teams: A simple random sample of ten 20-oz bottles of Coke® from a normal distribution is obtained and each bottle is measured for number of ounces of Coke® in the bottle. The sample mean is 19.4 oz with standard deviation of 1.8 oz. Test the claim at an alpha significance level of 5% that on average there is more than 19.8 oz of Coke® in each bottle.Explanation / Answer
Given n=20, xbar=19.4, s=1.8
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(1) The test hypothesis is
Ho:=19.8
Ha: is not equal to 19.8
The test statistic is
t=(xbar-)/(s/n)
=(19.4-19.8)/(1.8/sqrt(20))
= -0.99
Given a=0.05, the critical value is t(0.025, df=n-1=19)=-2.09 (check student t table)
Since t=-0.99>-2.09, we do not reject Ho.
SO we can conclude that on average there is exactly 19.8 oz of Coke® in each bottle.
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(2)
The test hypothesis is
Ho: <=19.8
Ha: > 19.8
The test statistic is
t=(xbar-)/(s/n)
=(19.4-19.8)/(1.8/sqrt(20))
= -0.99
Given a=0.05, the critical value is t(0.025, df=n-1=19)=-2.09 (check student t table)
Since t=-0.99>-2.09, we do not reject Ho.
SO we can not conclude that on average there is more than 19.8 oz of Coke® in each bottle.
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