Part 1 of 4 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 26 males and 20 females. The males took an average of 3.7 English courses with a standard deviation of 0.3. The females took an average of 3.6 English courses with a standard deviation of 0.6. Conduct a hypothesis test at the 1% level of significance to determine whether the means are statistically the same. Step 1: State the null and alternative hypotheses. Ho: 1-2 v 0 Ha 1-₂ (So we will be performing a two-tailed 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 and distribution standard deviation 1 Question Help: D Post to forum test.) Submit Part X with distribution mean o

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Part 1 of 4
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
26 males and 20 females. The males took an average of 3.7 English courses with a standard
deviation of 0.3. The females took an average of 3.6 English courses with a standard deviation of 0.6.
Conduct a hypothesis test at the 1% level of significance to determine whether the means are
statistically the same.
Step 1: State the null and alternative hypotheses.
Ho: 12V0
Ha: 1₂ VO
(So we will be performing a two-tailed
E
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
and distribution standard deviation 1
Question Help: Post to forum
Submit Part
$
4
R
✓✓test.)
%
5
T
x
Search or type URL
✔with distribution mea 0
6
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7
U
* 00
8
+
T
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-
Transcribed Image Text:#3 Part 1 of 4 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 26 males and 20 females. The males took an average of 3.7 English courses with a standard deviation of 0.3. The females took an average of 3.6 English courses with a standard deviation of 0.6. Conduct a hypothesis test at the 1% level of significance to determine whether the means are statistically the same. Step 1: State the null and alternative hypotheses. Ho: 12V0 Ha: 1₂ VO (So we will be performing a two-tailed E 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 and distribution standard deviation 1 Question Help: Post to forum Submit Part $ 4 R ✓✓test.) % 5 T x Search or type URL ✔with distribution mea 0 6 & 7 U * 00 8 + T C -
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