Homework Help is Here – Start Your Trial Now!
Math
Statistics
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 averag 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 statistically 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) O Part (e) O Part (f) What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. O f Ho is false, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at least 1. O IH Ho is true, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at least 1. O H Ho is false, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at most 1. O Ho is true, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at most 1.

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 averag 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 statistically 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) O Part (e) O Part (f) What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. O f Ho is false, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at least 1. O IH Ho is true, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at least 1. O H Ho is false, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at most 1. O Ho is true, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at most 1.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
100%

I need help understanding how to solve the question with a black box around it.

The text is about analyzing whether the mean number of English courses taken by male and female college students over a two-year period is statistically the same. The study collected data from 29 males and 16 females. Males took an average of four courses with a standard deviation of 0.9, while females took an average of five courses with a standard deviation of 1.1. **Question: Are the means statistically the same? (Use α = 0.05)** The text prompts users to consider using a Student's t-distribution for paired data, with the assumption of a normally distributed population. **Components of the analysis:** - Part (a) to Part (f): Response areas for solving the problem. **Question: What is the p-value? (Round your answer to four decimal places.)** Check boxes for multiple choice with explanations on what the p-value means for the problem: - If \( H_0 \) is false, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at least 1. - If \( H_0 \) is true, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at least 1. - If \( H_0 \) is false, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at most 1. - If \( H_0 \) is true, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at most 1. **Directions for the response: Part (g)** Indicate the correct decision ("reject" or "do not reject" the null hypothesis), provide reasoning, and write an appropriate conclusion. - Alpha (α): 0.05 This task involves statistical analysis to compare means and interpret p-values in the context of hypothesis testing, focusing on the decision criteria for rejecting or not rejecting the null hypothesis.
Transcribed Image Text:The text is about analyzing whether the mean number of English courses taken by male and female college students over a two-year period is statistically the same. The study collected data from 29 males and 16 females. Males took an average of four courses with a standard deviation of 0.9, while females took an average of five courses with a standard deviation of 1.1. **Question: Are the means statistically the same? (Use α = 0.05)** The text prompts users to consider using a Student's t-distribution for paired data, with the assumption of a normally distributed population. **Components of the analysis:** - Part (a) to Part (f): Response areas for solving the problem. **Question: What is the p-value? (Round your answer to four decimal places.)** Check boxes for multiple choice with explanations on what the p-value means for the problem: - If \( H_0 \) is false, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at least 1. - If \( H_0 \) is true, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at least 1. - If \( H_0 \) is false, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at most 1. - If \( H_0 \) is true, then there is a chance equal to the p-value that the difference in the sample mean number of English courses taken by males and females is at most 1. **Directions for the response: Part (g)** Indicate the correct decision ("reject" or "do not reject" the null hypothesis), provide reasoning, and write an appropriate conclusion. - Alpha (α): 0.05 This task involves statistical analysis to compare means and interpret p-values in the context of hypothesis testing, focusing on the decision criteria for rejecting or not rejecting the null hypothesis.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Inequality
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS