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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 summarized to the right. Assume that the two Regular Diet 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. 27 0.79037 Ib 0.00449 Ib 27 0,80399 Ib 0.00756 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? OA Ho: H1" 2 B. Ho: HH2 OC. Ho: H1 "42 H: H > H2 MD. Ho HP2 The test statistic, t, is (Round to two decimal places as needed.)

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 summarized to the right. Assume that the two Regular Diet 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. 27 0.79037 Ib 0.00449 Ib 27 0,80399 Ib 0.00756 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? OA Ho: H1" 2 B. Ho: HH2 OC. Ho: H1 "42 H: H > H2 MD. Ho HP2 The test statistic, t, is (Round to two decimal places as needed.)

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
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I need the test statistic and p value thankyou

**Transcription of Educational Image Text** --- **Soda Weights Analysis** The data presented compares the weights (in pounds) of the contents of cans of diet soda to the contents of cans of the regular version of the soda. The samples used are independent simple random samples selected from normally distributed populations. It's important to note that we do not assume the population standard deviations are equal. A significance level of 0.01 is used for both parts in this analysis. --- **Provided Data Summary:** | | Diet | Regular | |------------|--------------|--------------| | Population | \( \mu_1 \) | \( \mu_2 \) | | n | 27 | 27 | | \( \bar{x} \) | 0.79037 lb | 0.80399 lb | | s | 0.00449 lb | 0.00756 lb | --- **Hypothesis Test (Part a):** We aim to 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. **Null and Alternative Hypotheses:** - **Option A:** - \( H_0: \mu_1 = \mu_2 \) - \( H_1: \mu_1 > \mu_2 \) - **Option C:** - \( H_0: \mu_1 = \mu_2 \) - \( H_1: \mu_1 < \mu_2 \) *Note*: Option C is selected as it aligns with the claim being tested. --- **Statistical Calculation:** The test statistic is denoted by \( t \), which should be rounded to two decimal places as required. ---
Transcribed Image Text:**Transcription of Educational Image Text** --- **Soda Weights Analysis** The data presented compares the weights (in pounds) of the contents of cans of diet soda to the contents of cans of the regular version of the soda. The samples used are independent simple random samples selected from normally distributed populations. It's important to note that we do not assume the population standard deviations are equal. A significance level of 0.01 is used for both parts in this analysis. --- **Provided Data Summary:** | | Diet | Regular | |------------|--------------|--------------| | Population | \( \mu_1 \) | \( \mu_2 \) | | n | 27 | 27 | | \( \bar{x} \) | 0.79037 lb | 0.80399 lb | | s | 0.00449 lb | 0.00756 lb | --- **Hypothesis Test (Part a):** We aim to 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. **Null and Alternative Hypotheses:** - **Option A:** - \( H_0: \mu_1 = \mu_2 \) - \( H_1: \mu_1 > \mu_2 \) - **Option C:** - \( H_0: \mu_1 = \mu_2 \) - \( H_1: \mu_1 < \mu_2 \) *Note*: Option C is selected as it aligns with the claim being tested. --- **Statistical Calculation:** The test statistic is denoted by \( t \), which should be rounded to two decimal places as required. ---
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