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 24 females. The males took an average of 2.3 English courses with a standard deviation of 1.1. The females took an average of 1.6 English courses with a standard deviation of 0.4. Conduct a hypothesis test at the 5% level of significance to determine whether the means are tatistically the same.

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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 24 females. The males took an average of 2.3 English courses with a standard
deviation of 1.1. The females took an average of 1.6 English courses with a standard deviation of 0.4.
Conduct a hypothesis test at the 5% level of significance to determine whether the means are
statistically the same.
Step 1: State the null and alternative hypotheses.
Ho: H1 – µ2 EM0
(So we will be performing a two-tailed
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 t-distributed
vv with distribution mean 0
and distribution standard deviation
Enter an integer or decimal number [more..]
Transcribed Image Text: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 24 females. The males took an average of 2.3 English courses with a standard deviation of 1.1. The females took an average of 1.6 English courses with a standard deviation of 0.4. Conduct a hypothesis test at the 5% level of significance to determine whether the means are statistically the same. Step 1: State the null and alternative hypotheses. Ho: H1 – µ2 EM0 (So we will be performing a two-tailed 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 t-distributed vv with distribution mean 0 and distribution standard deviation Enter an integer or decimal number [more..]
Step 3: Find the p-value of the point estimate.
P(d 2v
= P(IV
p-value
%3D
Transcribed Image Text:Step 3: Find the p-value of the point estimate. P(d 2v = P(IV p-value %3D
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