SOLUTION: 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

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.
--------------------------------
Ho: u(coke)-u(pepsi) = 0
Ha: u(coke)-u(pepsi) is not 0
--------------------------------
I ran a 2-Sample T-test and got the following:
t = -1.56..
p-value = 0.130....
------------
Conclusion: Since the p-value is greater than 1%, do not reject Ho.
There is no statistical difference in the number of calories.
======================================================
Cheers,
Stan H.
RELATED QUESTIONS
Please help me. I need your help desperately. I have tried this question few times and... (answered by stanbon)

Coca-Cola comes in two low-calorie varieties: Diet Coke and Coke Zero. If a promoter has... (answered by ikleyn)

Please help me. I am having problem understanding this question. Can people really... (answered by stanbon)

Please help me. I am stuck with this question. Can people really identify their... (answered by stanbon)

Can someone please help me with this Chi-square question? Can people really... (answered by stanbon)

Please help. Found the question but the calculations were not available. Thank you in... (answered by stanbon)

I was wondering if I could get confirmation if I got this problem right. 3 cans were... (answered by sudhanshu_kmr,Edwin McCravy)

Hi, Can you please help me solve for this, Doane−Seward: Applied Statistics in... (answered by stanbon)