A manufacturer wanted to know if more coupons would be redeemed if they were mailed to the female in the household rather than the male in the household. A coupon book was sent at random to either the male or female in a random sample of 50 male-female households. A month later, a coupon book was sent to the other member of the pair. The manufacturer found that the mean difference (female – male) in the number of coupons redeemed was 1.5 with a standard deviation of 4.75. Do these data provide convincing evidence that the mean number of coupons redeemed is greater when the coupons were addressed to a female? Use a = 0.01.
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.
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