II. PROBLEM SOLVING. Solve the following problems. SHOW YOUR COMPLETE SOLUTION1. A tire manufacturer claims that its tires have a mean life of 40,000 kms. A random sample of 46 of these tires is tested and the sample meanis 38,000 kms. Assume that the populations standard deviation is 2,000 kms and the lives of tires are approximately normally distributed.a. . What test statistic should be used?b. What is the computed value at 5% level of significance?2. The manager of a certain TV station claimed that the average rating of people watching their noontime teleserye in Manila is 62.5. Aresearcher randomly selected 25 people and asked them their favorite noontime teleserye. He computed the mean and obtained 67.8 withstandard deviation of 15.9. Is there a reason to believe that the manager is correct? Use 0.01 as the level of significance.

here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION PLZ REPOST FOR REMAINING Here given ,…

Answered: a. .What test statistic should be used?…

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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The average house has 11 paintings on its walls. Is the mean larger for houses owned by teachers? The data show the results of a survey of 14 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal. 12, 13, 12, 12, 12, 11, 13, 12, 13, 11, 10, 12, 11, 13 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: Select an answer H1: Select an answer c. The test statistic ? ▼ (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is (? v f. Based on this, we should | Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population mean is not significantly more than 11 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in teachers' houses…
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a. .What test statistic should be used? b. What is the computed value at 5% level of significance?