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 16 females. The males took an average of four English courses with a standard deviation of 0.9. The females took an average of five English courses with a standard deviation of 1.1. Are the means statisticall the same? (Use a = 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.) O Part (a) O Part (b) O Part (c) O Part (d) State the distribution to use for the test. (Enter your answer in the form z or tar 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.)
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 16 females. The males took an average of four English courses with a standard deviation of 0.9. The females took an average of five English courses with a standard deviation of 1.1. Are the means statisticall the same? (Use a = 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.) O Part (a) O Part (b) O Part (c) O Part (d) State the distribution to use for the test. (Enter your answer in the form z or tar 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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
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I'm having a hard time understanding how to solve this question. I think the distribution is supposed to be in z form but I'm unsure.
![The image contains a statistics problem regarding the comparison of the mean number of English courses taken by male and female college students over a two-year period. The text describes an experiment with data collected from 29 male and 16 female students.
**Problem Details:**
- Males took an average of 4 English courses with a standard deviation of 0.9.
- Females took an average of 5 English courses with a standard deviation of 1.1.
- The significance level is set at \( \alpha = 0.05 \).
**Instructions:**
- Use a Student’s t-distribution for the problem, assuming that the underlying population is normally distributed.
- Determine if the means are statistically the same.
**Parts:**
- Part (a)
- Part (b)
- Part (c)
- Part (d):
- State the distribution to use for the test. Enter the answer in the form \( z \) or \( t_{df} \), where \( df \) is the degrees of freedom. Round the answer to two decimal places.
\[ \text{Answer Box} \]
- Part (e):
- What is the test statistic? If using the z-distribution, round the answer to two decimal places. If using the t-distribution, round the answer to three decimal places.
\[ \text{t} = \text{Answer Box} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3134a8e7-aa01-44bf-beb1-e0aaa6d94e90%2Fc80eaf6f-5573-4603-b293-637ea566d3e3%2Fihtwmoh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains a statistics problem regarding the comparison of the mean number of English courses taken by male and female college students over a two-year period. The text describes an experiment with data collected from 29 male and 16 female students.
**Problem Details:**
- Males took an average of 4 English courses with a standard deviation of 0.9.
- Females took an average of 5 English courses with a standard deviation of 1.1.
- The significance level is set at \( \alpha = 0.05 \).
**Instructions:**
- Use a Student’s t-distribution for the problem, assuming that the underlying population is normally distributed.
- Determine if the means are statistically the same.
**Parts:**
- Part (a)
- Part (b)
- Part (c)
- Part (d):
- State the distribution to use for the test. Enter the answer in the form \( z \) or \( t_{df} \), where \( df \) is the degrees of freedom. Round the answer to two decimal places.
\[ \text{Answer Box} \]
- Part (e):
- What is the test statistic? If using the z-distribution, round the answer to two decimal places. If using the t-distribution, round the answer to three decimal places.
\[ \text{t} = \text{Answer Box} \]
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