The test statistic, t, is \( -22.67 \). (Round to two decimal places as needed.)The P-value is \( 0.000 \). (Round to three decimal places as needed.)State the conclusion for the test.- **A.** Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.- **B.** Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.- **C.** Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.- **D.** Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. **Transcription for Educational Website:**---**The test statistic, t, is \(-22.67\).** (Round to two decimal places as needed.)**The P-value is \(0.000\).** (Round to three decimal places as needed.)---**State the conclusion for the test:**- **A.** Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.- **B.** Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.- **C.** Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.- **D.** Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.---**Explanation:**In this statistical hypothesis test, the very low t statistic of \(-22.67\) and the P-value of \(0.000\) indicate a strong level of statistical significance. Typically, a P-value less than 0.05 is considered sufficient to reject the null hypothesis in many fields. Here, the options indicate possible conclusions regarding the comparison between the mean weights of diet soda and regular soda cans.**No graphs or diagrams are present in the image.**

Given that test statistic=-22.67 P value=0.000 We have to state the conclusion of the test

Answered: The test statistic, t, is -22.67.…

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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You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 15 containers. Estimate the population standard deviation at a 90% level of confidence. Use 3 decimal places for all answers. 12.11 11.99 11.88 12.04 12.11 12 12.16 12.18 12.16 12.01 12.12 12.02 12.05 12.04 12.27 (Data checksum: 181.14) a) Find the sample standard deviation: b) Find the lower and upper �2 critical values at 90% confidence:Lower: Upper: c) Report your confidence interval for �: ( , )
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