SOLUTION: 6. Please analyze the following data using the Z-test for Unpaired data A candy company wants to identify whether or not the size of its’ candy bars are the same length from one

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Question 482034: 6. Please analyze the following data using the Z-test for Unpaired data
A candy company wants to identify whether or not the size of its’ candy bars are the same length from one day to another. On day 1 they sample 52 candy bars with an average mean of 5.4 inches and on day 2 they sample 52 bars again with and average mean of 5.6 inches. Both days have sample standard deviations of 3.4. Is the average mean of size different from day 1 to day 2?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Please analyze the following data using the Z-test for Unpaired data
A candy company wants to identify whether or not the size of its’ candy bars are the same length from one day to another. On day 1 they sample 52 candy bars with an average mean of 5.4 inches and on day 2 they sample 52 bars again with and average mean of 5.6 inches. Both days have sample standard deviations of 3.4. Is the average mean of size different from day 1 to day 2?
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Ho: u1-u2 = 0
H1: u1-u2 is not 0
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test statistic: z(5.4-5.6) = -0.2/sqrt[(3.4^2)/52 + (3.4^2/52)] = -0.2999
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p-value = 2*P(z<-0,-0.2999) = 0.7643
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Conclusion:
Since the p-value is greater than 5% fail to reject Ho.
The size of the bars has not changed.
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Cheers,
Stan H.

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