university in England and each student in a random sample of 38 female students from the same university kept a diary of how he or she spent time over a 3-week period. For the sample of males, the mean time spent studying per day was 282.0 minutes and the standard deviation was 160.4 minutes. For the sample of females, the mean time spent studying was 181.8 minutes and the standard deviation was 166.4 minutes. Is there convincing evidence that the mean time male students at this university spend studying is greater than the mean time for female students? Test the appropriate hypotheses using ? = 0.05. (Use ?1 for male students and ?2 for female students.) State the appropriate null and alternative hypotheses. Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t= P-value= State the conclusion in the problem context
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.
Do male college students spend more time studying than female college students? This was one of the questions investigated by the authors of an article. Each student in a random sample of 46 male students at a university in England and each student in a random sample of 38 female students from the same university kept a diary of how he or she spent time over a 3-week period. For the sample of males, the
(Use ?1 for male students and ?2 for female students.)
State the appropriate null and alternative hypotheses.
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