QUESTION 4 Problem4 (Use the Formula sheet and the Tables to answer this question. You should not use Mega-Stat) A stati

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Question 4 Problem4 Use The Formula Sheet And The Tables To Answer This Question You Should Not Use Mega Stat A Stati 1 (70.59 KiB) Viewed 54 times

QUESTION 4 Problem4 (Use the Formula sheet and the Tables to answer this question. You should not use Mega-Stat) A statistics practitioner is in the production process wants to make a test to determine whether there is enough evidence to infer that the population production mean is different from 190 at the 5% significance level. She selected a random sample of 200 process and found it has mean 182 and standard deviation 20 Solve the problem in the following steps and Select the letter from (a, b, cord) below that corresponds to the correct answer. 1. Write the null Ho and alternative hypotheses HI B a) HD: 190, Hl: u-190 b) Ho: -190, Hl: -190 c) HO: - 182. Hl: u-182 2. Verify the required assumptions? a) z-test: n>30+ standard deviation of the population is unknown b) t-test: ns30 standard deviation of the population is known c) t-test: n>30+ standard deviation of the population is unknown 3. Calculate the value of the test t (Use formula sheet) A a) t test is 5.65685 b) z test is -5.65685 c)t tost is 5.65685 4. Find Critical value for this statistical test, at the 5% significance level (using the table) A a) Critical value = 1.96 b) Critical value = 2 c) Critical value = 1.671

5. Test the hypothesis in (a) is using the test statistic method C a) Test statistic t= -5.657 < critical value=-2, we fail to reject ho, there is enough evidence to infer that the population production mean is different from 190 b) Test statistic t= -5.657 < critical value=-2, we fail to reject ho, there is no enough evidence to infer that the population production mean is different from 190 c) Test statistic t= -5.657 < critical value=-2, we reject ho, there is enough evidence to infer that the population production mean is different from 190 6. Estimate 95% confidence of the population mean. (Use formula sheet and write your solution explicitly) A a) LL= 179.21 UL= 184.79 b) LL= 179.78 UL= 184.79 c) LL= 179.21 UL= 184. 21 7. Test the hypothesis in (a) is using the confidence interval method (write your solution explicitly) B a) Sine the confidence interval contain the value 190, we reject Ho, we have sufficient sample evidence to reject our null hypothesis and hence the population mean is different from 190 b) Sine the confidence interval does not contain the value 190, reject Ho, we have sufficient sample evidence to reject our null hypothesis and hence the population mean is different from 190 c) Sine the confidence interval does not contain the value 190, we fail to reject Ho, we don't have sufficient sample evidence to reject our null hypothesis and hence the population mean is different from 190 8. Explain what does “a 95% confidence” means. (interpretation) c last option c) We are 5% confident that true mean p is between 179.21 and 184.78 c) We are 95% not confident that true mean p is between 179.21 and 184.78 c) We are 95% confident that true mean p is between 179.21 and 184.78