I really need help with this, please show your work when you explain, thanks **Analysis of English Course Enrollment by Gender in College Students**The study explores whether male and female college students enroll in a similar number of English courses over a two-year period. The experiment gathers data from 29 male and 16 female students. Males have an average enrollment of four English courses with a standard deviation of 0.9, while females average five courses with a standard deviation of 1.1. The central question is whether these means are statistically equivalent.**Instructions for Statistical Analysis****1. Utilizing the Student’s t-distribution:**This problem assumes the underlying population follows a normal distribution. If using paired data, ensure the assumption of normality is verified.**2. Steps for Hypothesis Testing:**- **(i) Alpha Level:** Enter the alpha level (α) as an integer, fraction, or decimal. Here, α = 0.05. - **(ii) Decision on Null Hypothesis:** - Reject the null hypothesis - Do not reject the null hypothesis- **(iii) Reason for Decision:** - If p-value ≥ α, the null hypothesis is not rejected. - If p-value < α, reject the null hypothesis.- **(iv) Conclusion:** - Sufficient evidence exists if the mean number of courses differs based on gender. - No sufficient evidence exists if the means do not significantly differ.**3. Selection of Distribution:**Explain the choice of statistical distribution:- Standard normal distribution for differences in proportions between samples.- t-distribution when the samples are independent, and the population standard deviation is unknown.- z-distribution if the population standard deviation is known.**Considerations:**Ensure the selection of distribution and hypothesis testing method aligns with the data and research question. The results should guide conclusions regarding gender-related enrollment differences in English courses.

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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 29 males and 16 females. The males took an 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 () O Part (g) O Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. () Alpha (Enter an exact number as an integer, fraction, decimal.) a= () Decision: O reject the null hypothesis O do not reject the null hypothesis

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 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 () O Part (g) O Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. () Alpha (Enter an exact number as an integer, fraction, decimal.) a= () Decision: O reject the null hypothesis O do not reject the null hypothesis

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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I really need help with this, please show your work when you explain, thanks

**Analysis of English Course Enrollment by Gender in College Students**

The study explores whether male and female college students enroll in a similar number of English courses over a two-year period. The experiment gathers data from 29 male and 16 female students. Males have an average enrollment of four English courses with a standard deviation of 0.9, while females average five courses with a standard deviation of 1.1. The central question is whether these means are statistically equivalent.

**Instructions for Statistical Analysis**

**1. Utilizing the Student’s t-distribution:**
This problem assumes the underlying population follows a normal distribution. If using paired data, ensure the assumption of normality is verified.

**2. Steps for Hypothesis Testing:**
- **(i) Alpha Level:** Enter the alpha level (α) as an integer, fraction, or decimal. Here, α = 0.05.

- **(ii) Decision on Null Hypothesis:**
- Reject the null hypothesis
- Do not reject the null hypothesis

- **(iii) Reason for Decision:**
- If p-value ≥ α, the null hypothesis is not rejected.
- If p-value < α, reject the null hypothesis.

- **(iv) Conclusion:**
- Sufficient evidence exists if the mean number of courses differs based on gender.
- No sufficient evidence exists if the means do not significantly differ.

**3. Selection of Distribution:**
Explain the choice of statistical distribution:
- Standard normal distribution for differences in proportions between samples.
- t-distribution when the samples are independent, and the population standard deviation is unknown.
- z-distribution if the population standard deviation is known.

**Considerations:**
Ensure the selection of distribution and hypothesis testing method aligns with the data and research question. The results should guide conclusions regarding gender-related enrollment differences in English courses.

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