A sample of 43 students enrolls in a program that claims to improve scores on the quantitative reasoning portion of the Graduate Record Examination (GRE). The participants take a mock GRE test before the program begins and again at the end to measure their improvement. The mean number of points improved was x-bar =7. Assume the standard deviation is 56 and let μ be the population mean the number of points improved. To determine whether the program is effective, a test is made of the hypotheses versus. i). Compute the value of the test statistic. ii). Compute the P-value. iii). Do you reject H0 at the level?
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.
A sample of 43 students enrolls in a program that claims to improve scores on the quantitative reasoning portion of the Graduate Record Examination (GRE). The participants take a mock GRE test before the program begins and again at the end to measure their improvement.
The mean number of points improved was x-bar =7. Assume the standard deviation is 56 and let μ be the population mean the number of points improved.
To determine whether the program is effective, a test is made of the hypotheses versus.
i). Compute the value of the test statistic.
ii). Compute the P-value.
iii). Do you reject H0 at the level?
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