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# Hypothesis Testing for Mean and Variance Problem Set

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1. At the time she was hired as a server at the Grumney Family restaurant, Beth Brigden was told, "You can average more than \$20 a day in tips." Over the first 35 days she was employed at the restaurant, the mean daily amount of her tips was \$24,85, with a standard deviation of \$3.24. Can Ms. Brigden be 99% confident that she is earning an average of more than \$20 per day in tips?

2. The Gibbs Baby Food Company wants to compare the weight gain of infants using their brand versus their competitor's. A sample of 40 babies using the Gibbs products revealed a mean weight gain of 7.6 pounds in the first three months after birth. The standard deviation of the sample was 2.3 pounds. A sample of 55 babies using the competitor's brand revealed a mean increase in weight of 8.1 pounds in the first three months after birth, with a standard deviation of 2.9 pounds. Can Gibbs be 95% certain that babies using their products gained less weight?

3. Stargell Research Associates conducted a study of the radio listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for men was 35 minutes per day. The standard deviation of the sample of the 10 men studied was 10 minutes per day. The mean listening time for the 12 women studied was also 35 minutes, but the standard deviation of the sample was 12 minutes. Can Stargell be 90% certain that there is a difference in the variability of the listening times for men and women?

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##### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis Mean, Variance and ANOVA. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.