A sample of 14 cans of Brand A diet cola gave the mean number of calories of 23 per can with a standard deviation of 3 calories. Another sample of 16 cans of Brand B diet cola gave the mean number of calories of 25 per can with a 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 cola? Assume that the calories per can of diet cola are normally distributed for each of the two brands and that the standard deviations for the two populations are equal. We are to test for the difference in the mean numbers of calories per can for the two brands. The null and alternative hypothesis are, respectively The mean numbers of calories are not different The mean numbers of calories are different The critical values of t (for df_28 and .005 area in each tail of the t distribution curve) are -2.763 and 2.763. The value of the test statistics t = -1.531 Provide the following: a. Decision (whether to accept or reject the null hypothesis) b. Conclusion
A sample of 14 cans of Brand A diet cola gave the
We are to test for the difference in the mean numbers of calories per can for the two brands. The null and alternative hypothesis are, respectively
The mean numbers of calories are not different
The mean numbers of calories are different
The critical values of t (for df_28 and .005 area in each tail of the t distribution curve) are -2.763 and 2.763. The value of the test statistics t = -1.531
Provide the following:
a. Decision (whether to accept or reject the null hypothesis)
b. Conclusion
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