Answered: The mean number of English courses…

Name: The mean number of English courses taken in a two-year time period by
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 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 average of two

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

Related questions

Topic Video

Question

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 average of two English courses with a standard deviation of 0.7. The females took an average of three English courses with a standard deviation of 1.1. Are the means statistically the same? (Use

? = 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.)

The following text appears on an educational website related to a statistical hypothesis test regarding English course enrollment among college students:

**Problem Statement:**
The mean number of English courses taken over a two-year period by male and female college students is believed to be approximately the same. An experiment is conducted using data from 29 males and 16 females. The males took an average of two English courses with a standard deviation of 0.7. The females took an average of three English courses with a standard deviation of 1.1. The question posed is whether the means are statistically the same with a significance level of $ \alpha = 0.05 $.

**Instructions and Solutions:**

- **Part (d):**
**Question:** State the distribution to use for the test. (Your answer should be in the form $ z $ or $ t_{df} $ where $ df $ is the degrees of freedom. Round to two decimal places.)
**Given Answer:** $ t_{44} $
**Correction:** The answer chosen was marked incorrect.

- **Part (f):**
**Question:** What is the p-value? (Round your answer to four decimal places.)
**Given Answer:** 0.0249
**Correction:** The answer chosen was marked incorrect.

**Explanation of p-value choice:**
- “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.”
- This choice was marked correct.

This setup engages students in the process of applying hypothesis testing, interpreting statistical results, and understanding the implications of p-values in testing the null hypothesis.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

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.

Similar questions