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 21 males and 30 females. The males took an average of 3.6 English courses with a standard deviation of 1.1. The females took an average of 3 English courses with a standard deviation of 0.4. Conduct a hypothesis test at the 2% level of significance to determine whether the means are statistically the same. Step 1: State the null and alternative hypotheses. H 0
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:μ 1
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−μ 2
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H 0
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:μ 1
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−μ 2
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(So we will be performing a test.) Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of the differences of sample means. The differences of sample means are with distribution mean and distribution standard deviation