5-Help with all the parts of this stats exercise please.Last sentence part says (Yes / No) (Only negatives values / Only positives values / Zero ) Data on the weights (lb) of the contents of cans of diet soda versus cans of the regular version of soda is summarized in the table. Assume two samples: independent simple random samples from normally distributed populations. Population standard deviations are not assumed to be equal. Use a 0.01 significance level for both parts.**Table:**- **Diet:** - \(\mu = \bar{x}_1\) - \(n = 28\) - \(\bar{x} = 0.79011 \text{ lb}\) - \(s = 0.00442 \text{ lb}\)- **Regular:** - \(\mu = \bar{x}_2\) - \(n = 28\) - \(\bar{x} = 0.81221 \text{ lb}\) - \(s = 0.00758 \text{ lb}\)---### Part a:**Test the claim** that the contents of cans of diet soda have weights with a mean that is less than the mean for regular soda.**Null and Alternative Hypotheses:**- **A.** \( H_0: \mu_1 = \mu_2 \) \\ \( H_1: \mu_1 > \mu_2 \)- **B.** \( H_0: \mu_1 = \mu_2 \) \\ \( H_1: \mu_1 < \mu_2 \)- **C.** \( H_0: \mu_1 \neq \mu_2 \) \\ \( H_1: \mu_1 \neq \mu_2 \)- **D.** \( H_0: \mu_1 = \mu_2 \) \\ \( H_1: \mu_1 < \mu_2 \)**The test statistic, \( t \), is** ____. (Round to two decimal places as needed.)**The P-value is** ____. (Round to three decimal places as needed.)**Conclusion:**- **A.** Fail to reject the null hypothesis. There is sufficient evidence that mean weights of diet soda cans are lower than regular soda.- **B.** Fail to reject the null hypothesis. There is insufficient evidence of lower mean weights of diet soda.- **C.** Reject the null

a. The claim of the test is that the contents of cans of diet soda have weights with a mean that is…

Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is Diet Regular summarized to the right. 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 (b) below. Use a 0.01 significance level for both parts. H2 28 0.79011 Ib 0.00442 lb 28 0.81221 lb 0.00758 Ib a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? O A. H9: H1 = H2 H1: 1> H2 OB. Hg: H1 H2 H1: H1

Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is Diet Regular summarized to the right. 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 (b) below. Use a 0.01 significance level for both parts. H2 28 0.79011 Ib 0.00442 lb 28 0.81221 lb 0.00758 Ib a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? O A. H9: H1 = H2 H1: 1> H2 OB. Hg: H1 H2 H1: H1

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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Question

5-Help with all the parts of this stats exercise please.

Last sentence part says (Yes / No) (Only negatives values / Only positives values / Zero )

Data on the weights (lb) of the contents of cans of diet soda versus cans of the regular version of soda is summarized in the table. Assume two samples: independent simple random samples from normally distributed populations. Population standard deviations are not assumed to be equal. Use a 0.01 significance level for both parts.

**Table:**
- **Diet:**
- \(\mu = \bar{x}_1\)
- \(n = 28\)
- \(\bar{x} = 0.79011 \text{ lb}\)
- \(s = 0.00442 \text{ lb}\)

- **Regular:**
- \(\mu = \bar{x}_2\)
- \(n = 28\)
- \(\bar{x} = 0.81221 \text{ lb}\)
- \(s = 0.00758 \text{ lb}\)

---

### Part a:

**Test the claim** that the contents of cans of diet soda have weights with a mean that is less than the mean for regular soda.

**Null and Alternative Hypotheses:**

- **A.** \( H_0: \mu_1 = \mu_2 \) \\
\( H_1: \mu_1 > \mu_2 \)

- **B.** \( H_0: \mu_1 = \mu_2 \) \\
\( H_1: \mu_1 < \mu_2 \)

- **C.** \( H_0: \mu_1 \neq \mu_2 \) \\
\( H_1: \mu_1 \neq \mu_2 \)

- **D.** \( H_0: \mu_1 = \mu_2 \) \\
\( H_1: \mu_1 < \mu_2 \)

**The test statistic, \( t \), is** ____. (Round to two decimal places as needed.)

**The P-value is** ____. (Round to three decimal places as needed.)

**Conclusion:**

- **A.** Fail to reject the null hypothesis. There is sufficient evidence that mean weights of diet soda cans are lower than regular soda.

- **B.** Fail to reject the null hypothesis. There is insufficient evidence of lower mean weights of diet soda.

- **C.** Reject the null

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