For numbers 18 to 21: A study was conducted using 50 undergraduates at a large private university who volunteered to participate in the research as partial fulfillment of a course requirement. One of the items studied was the maximum daily amount of alcohol consumed al last month. Base on the data in the following table are there differences between males and females in the maximum amount of alcohol consumed in any one day in the past month? Use 5 % level of significance. Assume equal variances. Alcohol consumed Male female Mean 8.2 5.6 Standard deviation 5.9 5.7 Number of students 20 30 18. Which of the following is the appropriate alternative hypothesis? A. There are more female participants than males B. The amount of alcohol consumed by males is higher than the amount consumed by the females. svibb C. The amount of alcohol consumed by males and females in the past month is the same. D. The amount of alcohol consumed by males and females in the past month is the same. 19. The pooled variance would be? В. 67.3 A. 134.56 C. 33.408 D. 5.780 20. What is the value of the test statistics? В. 1.558 A. 1.098 C. 0.270 D. 0.776 21. With to.025=±2.011; what would be your decision? A. There is no sufficient data to make a decision B. Failed to reject the null hypothesis C. Reject the null hypothesis D. Either A or B
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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