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A Two-Sample Hypothesis Test 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 three English courses with a standard deviation of 0.8. The females took an average of four English courses with a standard deviation of 1.0. Are the means statistically the same? (Assume a 5% level of significance.) Useful tools: Normal Distribution Calculator t-Distribution Calculator a. Which of the following null and alternative hypotheses match this scenario? OH . :AM = Ha : Au + 0 OHo : An + Ha : Au = 0 OHo : Au = 0 Ha : Au> O b. Which type of test should be applied? o The alternative hypothesis indicates a right- tailed test. o The alternative hypothesis indicates a left- tailed test. o The alternative hypothesis indicates a two- tailed test. c. Which type of distribution should be applied? o The required distribution is a Normal Distribution. o The required distribution is Student's t- Distribution. o The required distribution is a Binomial Distribution approximated by a Normal Distribution. d. Calculate the p-value from this hypothesis test. P =