4.A college student is interested in whether there is a difference between male and female students in the amount of time they spend studying each week period the student gathers information from a random sample of male and female students on campus. The amount of time spent studying is normally distributed. The data are: Male Female 27 25 25 29 19 18 10 23 16 20 22 15 14 19 What statistical test should be done to analyze these data? Identify Ho and Ha for this study. Conduct the appropriate analysis. Should Ho be rejected? What should the researcher conclude? If significant, compute and interpret the effect size.
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.
4.A college student is interested in whether there is a difference between male and female students in the amount of time they spend studying each week period the student gathers information from a random sample of male and female students on campus. The amount of time spent studying is
Male Female
27 25
25 29
19 18
10 23
16 20
22 15
14 19
- What statistical test should be done to analyze these data?
- Identify Ho and Ha for this study.
- Conduct the appropriate analysis.
- Should Ho be rejected? What should the researcher conclude?
- If significant, compute and interpret the effect size.
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