A random sample of 12 Second-Year University students enrolled in a business statistics course was drawn. At the course’s completion, each student was asked how many hours he or she spent doing homework in statistics. The data are listed below. It is known that the population standard deviation is 8.0. The instructor has recommended that students devote 3 hours per week for the duration of 12-week semester, for a total of 36 hours. Test to determine whether there is evidence that the average student spent less than the recommended amount of time. Compute the p-value of the test. 31, 40 ,26 ,30, 36, 38, 29, 40, 38, 30, 35, 38,
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.
(Please cross-check the answer manually and print the outpu from excel)
1) A random sample of 12 Second-Year University students enrolled in a business statistics course was drawn. At the course’s completion, each student was asked how many hours he or she spent doing homework in statistics. The data are listed below. It is known that the population standard deviation is 8.0. The instructor has recommended that students devote 3 hours per week for the duration of 12-week semester, for a total of 36 hours. Test to determine whether there is evidence that the average student spent less than the recommended amount of time. Compute the p-value of the test.
31, 40 ,26 ,30, 36, 38, 29, 40, 38, 30, 35, 38,
Step by step
Solved in 4 steps
