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 1.1.

Are the means statistically the same? (Use *Î±* = 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.)

Show transcribed image text O Part (d) State the distribution to use for the test. (Enter your answer in the form z or taf where df is the degrees of freedom. Round your answer to two decimal places.) O Part (e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) O Part (1) What is the p-value? (Round your answer to four decimal places.)

O Part (d) State the distribution to use for the test. (Enter your answer in the form z or taf where df is the degrees of freedom. Round your answer to two decimal places.) O Part (e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) O Part (1) What is the p-value? (Round your answer to four decimal places.)