Identify the null and alternative hypotheses: H0: σ, p, or μ | >, =, ≠, or < ___________ H1: σ, p, or μ | >, =, ≠, or < ____________ ### Educational Website Content: Hypothesis Testing with Statdisk#### DescriptionA data set includes weights (in grams) of 32 Reese's Peanut Butter Cup Miniatures. The accompanying Statdisk display shows results from using all 32 weights to test the claim that the sample is from a population with a mean equal to 8.953 grams. Test the given claim by using the display provided from Statdisk. Use a 0.01 significance level.#### Instructions- **Click the icon** to view the Statdisk display.#### Hypothesis TestingIdentify the null and alternative hypotheses:- **Null Hypothesis (H₀):** Input the hypothesized population mean based on the claim.- **Alternative Hypothesis (H₁):** Input the alternative claim you want to test against the null hypothesis.> (Type integers or decimals. Do not round.)#### Graphical ExplanationThe Statdisk Display provided offers a detailed summary of the t-test conducted on the data set:- **t Test:** This box summarizes the results of the hypothesis test. - **Test Statistic, t:** -2.98162 - This is the calculated t-value used to determine whether to reject the null hypothesis. - **Critical t:** ±2.74404 - This is the critical value at the 0.01 significance level, defining the threshold for rejecting the null hypothesis. - **P-value:** 0.00554 - The probability of observing a test statistic as extreme as, or more extreme than, the observed value under the null hypothesis.#### ConclusionBased on the test statistic and P-value, compare these against the critical value and significance level to make a decision regarding the null hypothesis. If the p-value is less than the significance level (0.01), reject the null hypothesis. Otherwise, do not reject it.#### Decision Buttons- **Print:** Print the results for record-keeping.- **Done:** Click when you have completed the analysis.This entry provides a systematic approach to understanding and applying hypothesis testing using the Statdisk software for educational purposes.

Given information- We have given the data set of weights (in grams) of 32 Reese's Peanut Butter Cup…

A data set includes weights (in grams) of 32 Reese's Peanut Butter Cup Miniatures. The accompanying Statdisk display shows results from using all 32 weights to test the claim that the sample is from a population with mean equal to 8.953 g. Test the given claim by using the display provided from Statdisk. Use a 0.01 significance level. iClick the icon to view the Statdisk display. Identify the null and alternative hypotheses. Ho: ▼ ▼ H₁: ▼ ▼ (Type integers or decimals. Do not round.) C Statdisk Display t Test Test Statistic, t Critical t P-value: - 2.98162 +2.74404 0.00554 Print Done X

A data set includes weights (in grams) of 32 Reese's Peanut Butter Cup Miniatures. The accompanying Statdisk display shows results from using all 32 weights to test the claim that the sample is from a population with mean equal to 8.953 g. Test the given claim by using the display provided from Statdisk. Use a 0.01 significance level. iClick the icon to view the Statdisk display. Identify the null and alternative hypotheses. Ho: ▼ ▼ H₁: ▼ ▼ (Type integers or decimals. Do not round.) C Statdisk Display t Test Test Statistic, t Critical t P-value: - 2.98162 +2.74404 0.00554 Print Done X

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

100%

Identify the null and alternative hypotheses:

H0: σ, p, or μ | >, =, ≠, or < ___________

H1: σ, p, or μ | >, =, ≠, or < ____________

### Educational Website Content: Hypothesis Testing with Statdisk

#### Description

A data set includes weights (in grams) of 32 Reese's Peanut Butter Cup Miniatures. The accompanying Statdisk display shows results from using all 32 weights to test the claim that the sample is from a population with a mean equal to 8.953 grams. Test the given claim by using the display provided from Statdisk. Use a 0.01 significance level.

#### Instructions

- **Click the icon** to view the Statdisk display.

#### Hypothesis Testing

Identify the null and alternative hypotheses:

- **Null Hypothesis (H₀):** Input the hypothesized population mean based on the claim.
- **Alternative Hypothesis (H₁):** Input the alternative claim you want to test against the null hypothesis.

> (Type integers or decimals. Do not round.)

#### Graphical Explanation

The Statdisk Display provided offers a detailed summary of the t-test conducted on the data set:

- **t Test:** This box summarizes the results of the hypothesis test.
- **Test Statistic, t:** -2.98162
- This is the calculated t-value used to determine whether to reject the null hypothesis.
- **Critical t:** ±2.74404
- This is the critical value at the 0.01 significance level, defining the threshold for rejecting the null hypothesis.
- **P-value:** 0.00554
- The probability of observing a test statistic as extreme as, or more extreme than, the observed value under the null hypothesis.

#### Conclusion

Based on the test statistic and P-value, compare these against the critical value and significance level to make a decision regarding the null hypothesis. If the p-value is less than the significance level (0.01), reject the null hypothesis. Otherwise, do not reject it.

#### Decision Buttons

- **Print:** Print the results for record-keeping.
- **Done:** Click when you have completed the analysis.

This entry provides a systematic approach to understanding and applying hypothesis testing using the Statdisk software for educational purposes.

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