**Transcription and Explanation:**The image presents a statistical analysis comparing the weights of diet and regular soda cans. Here is a transcription and explanation suitable for an educational website.**Background:**The study considers data on the contents of soda cans, comparing the weights of diet soda against regular soda. It is assumed that the samples are independent, normally distributed, and do not assume equal population standard deviations. The significance level is set at 0.01.**Data Table Explanation:**The table summarizes the data for diet and regular sodas:| | Diet | Regular ||------------------|--------------------------|----------------------------|| Mean (\(\mu\)) | \(\mu_1\) | \(\mu_2\) || Sample Size (n) | 27 | 27 || Mean (x̄) | 0.79037 lb | 0.80399 lb || Std Dev (s) | 0.00449 lb | 0.00756 lb |**Hypothesis Test:**The objective is to test if the mean weight of diet soda cans is less than that of regular soda cans.- **Null Hypothesis (\(H_0\)): \(\mu_1 = \mu_2\)** - **Alternative Hypothesis (\(H_1\)): \(\mu_1 < \mu_2\)** (Correct hypothesis choice as marked.)**Test Statistic:**The test statistic calculated is \(t = -8.04\). This value is rounded to two decimal places.**P-value:**The space for the P-value is prepared to be entered, which should be rounded to three decimal places, but it is not filled in the image.This setup is typical of hypothesis testing scenarios where conclusions about population parameters are drawn from sample data under specific assumptions.

Given data: Significance level = 0.01

Answered: Data on the weights (Ib) of the…

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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Data on the weights (lb) 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 samples are independent simple random samples selected from normally distributedpopulations, 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. Diet Regular μ μ1 μ2 n 33 33 x 0.78488 lb 0.80356 lb s 0.00444 lb 0.00744 lb 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. i) What are the null alternative hypothesis? ii) What's the test statics? iii) What's the P-value? iv) State the conclusion vi) construct a confidence interval suitable suitable for testing the claim that the two samples are from populations with the same mean vii) Does the confidence interval…
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