Scenario 6: Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification. Freshmen 83 Sophomores Juniors 68 85 64 Seniors We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. 73. The expected frequency of seniors in scenario 6 is a. 60. b. 20%, c. 68, d. 64. ANSWER: a 74. The calculated value for the test statistic in scenario 6 equals a. .54. b..65. c. 1.66, d. 6.66. ANSWER: e 75. At a .05 level of significance, the null hypothesis in scenario 6 a. should not be rejected. b. should be rejected. c. was designed wrong. d. cannot be tested. ANSWER: a
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.
Answer 74 and 75 without software
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