Question 210766: Please help me in this question:(Hypothesis Testing on Two Samples)
A sample of 14 cans of Coke diet soda gave the mean number of calories of 23 per can with a standard deviation of 3 calories. Another sample of 16 cans of Pepsi diet soda gave the mean number of calories of 25 per can with standard deviation of 4 calories. at the 1% significance level, can you conclude that the mean numbers of calories per can are different for these two brands of diet soda? Assume that the calories per can of diet soda are normally distributed for each of the two brands and that the standard deviations for the two population are equal.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Please help me in this question:(Hypothesis Testing on Two Samples)
A sample of 14 cans of Coke diet soda gave the mean number of calories of 23 per can with a standard deviation of 3 calories. Another sample of 16 cans of Pepsi diet soda gave the mean number of calories of 25 per can with standard deviation of 4 calories. at the 1% significance level, can you conclude that the mean numbers of calories per can are different for these two brands of diet soda? Assume that the calories per can of diet soda are normally distributed for each of the two brands and that the standard deviations for the two population are equal.
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Ho: u(coke)-u(pepsi) = 0
Ha: u(coke)-u(pepsi) is not 0
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I ran a 2-Sample T-test and got the following:
t = -1.56..
p-value = 0.130....
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Conclusion: Since the p-value is greater than 1%, do not reject Ho.
There is no statistical difference in the number of calories.
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Cheers,
Stan H.
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