Q5-Hi Bartleby team, I'm struggling with this general topic so please provide an answer and a short explanation for all the part of the exercise. Thanks in advance. ### Analysis of BMI Differences Between GendersGiven in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Use a 0.01 significance level for both parts.**Sample Data:**- **Male BMI** - Mean (\( \bar{x} \)): 27.3862 - Standard deviation (\( s \)): 7.856039 - Sample size (\( n \)): 48- **Female BMI** - Mean (\( \bar{x} \)): 25.1279 - Standard deviation (\( s \)): 4.207548 - Sample size (\( n \)): 48---### Hypothesis Testing**Problem:** Test the claim that males and females have the same mean body mass index (BMI).**Formulate Hypotheses:**- **Null Hypothesis (\( H_0 \))**: \( \mu_1 = \mu_2 \)- **Alternative Hypothesis (\( H_1 \))**: \( \mu_1 \neq \mu_2 \)**Test Statistic:**- The calculated test statistic \( t \) is \(\_\_\_\_ \). (Round to two decimal places as needed.)**P-Value:**- The calculated P-value is \(\_\_\_\_ \). (Round to three decimal places as needed.)**Conclusion:**- Option B: Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.---### Confidence Interval**Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI:**- \( \_\_\_ < \mu_1 - \mu_2 < \_\_\_ \). (Round to three decimal places as needed.)This approach helps in understanding whether there's a statistically significant difference in the average BMI between genders at the 0.01 significance level. Further calculations are needed to complete the analysis.

We want to test the hypothesis by using difference of of two means and 99% CI for population mean.

Male BMI Female BMI Given in the table are the BMI statistics for random sampies of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and n (b) below. Use a 0.01 significance level for both parts. H2 48 48 27.3862 25.1279 S 7.856039 4207548 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA Ho: H1 # 42 B. Họ: H1 = 2 OC. Ho: H12H2 OD. Ho H =H2 H H> H2 H: H Z1 - t> (Round to three decimal places as needed.)

Male BMI Female BMI Given in the table are the BMI statistics for random sampies of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and n (b) below. Use a 0.01 significance level for both parts. H2 48 48 27.3862 25.1279 S 7.856039 4207548 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA Ho: H1 # 42 B. Họ: H1 = 2 OC. Ho: H12H2 OD. Ho H =H2 H H> H2 H: H Z1 - t> (Round to three decimal places as needed.)

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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Q5-Hi Bartleby team, I'm struggling with this general topic so please provide an answer and a short explanation for all the part of the exercise. Thanks in advance.

### Analysis of BMI Differences Between Genders

Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Use a 0.01 significance level for both parts.

**Sample Data:**

- **Male BMI**
- Mean (\( \bar{x} \)): 27.3862
- Standard deviation (\( s \)): 7.856039
- Sample size (\( n \)): 48

- **Female BMI**
- Mean (\( \bar{x} \)): 25.1279
- Standard deviation (\( s \)): 4.207548
- Sample size (\( n \)): 48

---

### Hypothesis Testing

**Problem:** Test the claim that males and females have the same mean body mass index (BMI).

**Formulate Hypotheses:**

- **Null Hypothesis (\( H_0 \))**: \( \mu_1 = \mu_2 \)
- **Alternative Hypothesis (\( H_1 \))**: \( \mu_1 \neq \mu_2 \)

**Test Statistic:**

- The calculated test statistic \( t \) is \(\_\_\_\_ \). (Round to two decimal places as needed.)

**P-Value:**

- The calculated P-value is \(\_\_\_\_ \). (Round to three decimal places as needed.)

**Conclusion:**

- Option B: Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.

---

### Confidence Interval

**Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI:**

- \( \_\_\_ < \mu_1 - \mu_2 < \_\_\_ \). (Round to three decimal places as needed.)

This approach helps in understanding whether there's a statistically significant difference in the average BMI between genders at the 0.01 significance level. Further calculations are needed to complete the analysis.

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