Businesses such as General Mills, Kellogg's, and Betty Crocker regularly use coupons to build brand allegiance and stimulate sales. Marketers believe that the users of paper coupons are different from the users of e-coupons accessed through the Internet. One survey recorded the age of each person who redeemed a coupon along with the type of coupon (either paper or electronic). The sample of 24 traditional paper-coupon clippers had a mean age of 41.2 with a standard deviation of 4.8. The sample of 35 e-coupon users had a mean age of 32.5 years with a standard deviation of 11.2. Assume the population standard deviations are not the same. Using a significance level of 0.05, test the hypothesis of no difference in the mean ages of the two groups of coupon clients. Hint: For the calculations, assume e-coupon as the first sample. a. What are the null and alternate hypotheses? O Ho: He-coupon = Htraditional Hi Me-coupon # Mtraditional %3D O Ho: He-coupon + Htraditional Hhi He-coupon = Htraditional O Ho: He-coupon * Htraditional Hh: He-coupon + Htraditional b. Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Test statistic

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Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.