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.) tate the conclusion for the test. O 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. OB. 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. OC. 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. OD. 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.
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.) tate the conclusion for the test. O 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. OB. 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. OC. 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. OD. 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.
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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
Transcribed Image Text: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.

Transcribed Image Text:**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.**
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