The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of two English courses with a standard deviation of 0.8. The females took an average of three English courses with a standard deviation of 1.2. Are the means statistically the same? (Use ? = 0.05) NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) a. What is the P-value? Explain what the p-value means for this problem. b. Sketch a picture of the situation. Label and scale the horizontal axis and shad the region corresponding to the p-value c. Indicate rather we "reject" or "do not reject" the null hypothesis d. Explain how you determined which disticution to use
The
NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is
a. What is the P-value? Explain what the p-value means for this problem.
b. Sketch a picture of the situation. Label and scale the horizontal axis and shad the region corresponding to the p-value
c. Indicate rather we "reject" or "do not reject" the null hypothesis
d. Explain how you determined which disticution to use
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