Last year’s tests of gums chewed showed that the consistency would last on average for 24minutes with a standard deviation of 5.5 minutes. In a test of 36 randomly selected new gums,the gums lasted on average for 21.5 minutes. Use  of 0.01 significance level to test the claimthat the new average is different from the mean of 24 minutes. **Summary of the 9 Steps for Hypothesis Testing**1. **Null and alternative hypothesis.**2. **Two-tailed test.**3. **Select a significant level alpha.**4. **Determine T-test or Z-test.**5. **T-crit or Z-crit (Draw a graph)**6. **Calculate T-obt or Z-obt.**7. **Check whether the observed value (obt) falls in the critical region.**8. **Reject or Fail to Reject Null Hypothesis.**9. **Therefore, there is a statistically significant difference between the sample mean and the population mean OR there is no significant difference between the two means.**

Given : sample size, n = 36 sample mean, x̄ = 21.5 population standard deviation,σ=…

Last year’s tests of gums chewed showed that the consistency would last on average for 24 minutes with a standard deviation of 5.5 minutes. In a test of 36 randomly selected new gums, the gums lasted on average for 21.5 minutes. Use  of 0.01 significance level to test the claim that the new average is different from the mean of 24 minutes.

Last year’s tests of gums chewed showed that the consistency would last on average for 24 minutes with a standard deviation of 5.5 minutes. In a test of 36 randomly selected new gums, the gums lasted on average for 21.5 minutes. Use  of 0.01 significance level to test the claim that the new average is different from the mean of 24 minutes.

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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A: Solution

Question

Last year’s tests of gums chewed showed that the consistency would last on average for 24

minutes with a standard deviation of 5.5 minutes. In a test of 36 randomly selected new gums,

the gums lasted on average for 21.5 minutes. Use  of 0.01 significance level to test the claim

that the new average is different from the mean of 24 minutes.

**Summary of the 9 Steps for Hypothesis Testing**

1. **Null and alternative hypothesis.**
2. **Two-tailed test.**
3. **Select a significant level alpha.**
4. **Determine T-test or Z-test.**
5. **T-crit or Z-crit (Draw a graph)**
6. **Calculate T-obt or Z-obt.**
7. **Check whether the observed value (obt) falls in the critical region.**
8. **Reject or Fail to Reject Null Hypothesis.**
9. **Therefore, there is a statistically significant difference between the sample mean and the population mean OR there is no significant difference between the two means.**

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