A. Determine the test statistic B. Find the p-value A study was conducted in which students were asked to estimate the number of calories in a cheeseburger. One group was asked to do this after thinking about a calorie-laden cheesecake. A second group was asked to do this after thinking about an organic fruit salad. Themean number of calories estimated was 769 for the group that thought about the cheesecake and 1040 for the group that thought about the organic fruit salad. Suppose that the study was based on a sample of 20 students in each group, and the standard deviation of the numberof calories estimated was 122 for the people who thought about the cheesecake first and 140 for the people who thought about the organic fruit salad first. Complete parts (a) through (e) below.a. State the null and alternative hypotheses if you want to determine whether the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.Let μ₁ represent the mean number of calories estimated by the people who thought about the cheesecake first and μ₂ represent the mean number of calories estimated by the people who thought about the organic fruit salad first. Choose the correct answer below.OA. Ho: H₁ H₂H₁: H₁> H₂CC. Ho: H₁ H₂H₁: H₁ H₂OB. Ho: H1 H��H₁: H₁ H₂OD. Ho: Hi#H2H₁ H₁ H₂b. In the context of this study, what is the meaning of a Type I error?OA. A Type I error is committed if the null hypothesis is rejected but the mean estimate is significantly lower for the people who thought about the cheesecake.B. A Type I error is committed if one concludes that the mean estimate is significantly lower for the people who thought about the cheesecake when it is not significantly lower.O C. A Type I error is committed if one concludes that the mean estimate is not significantly lower for the people who thought about the cheesecake when it is significantly lower.D. A Type I error is committed if the alternative hypothesis is rejected but the mean estimate is not significantly lower for the people who thought about the cheesecake.c. In the context of this study, what is the meaning of a Type II error?O A. A Type II error is committed if the alternative hypothesis is rejected but the mean estimate is significantly lower for the people who thought about the cheesecake.O B. A Type Il error is committed if the null hypothesis is rejected but the mean estimate is not significantly lower for the people who thought about the cheesecake.C. A Type Il error committed if one concludes that the mean estimate is not significantly lower for the people who thought about the cheesecake when it is significantly lower.O D. A Type II error is committed if one concludes that the mean estimate is significantly lower for the people who thought about the cheesecake when it is not significantly lower.d. At the 0.01 level of significance, is there evidence that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first?Find the test statistic.*STAT (Round to two decimal places as needed.)

CheesecakeSample size, Sample mean, Sample standard deviation, Organic fruit saladSample size,…

Answered: A. Determine the test statistic B.…

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 14 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. 15, 13, 16, 16, 17, 14, 14, 15, 13, 13, 15, 16, 15, 16 What can be concluded at the a = 0.01 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 v H: ?v Select an answer v c. The test statistic ? v = (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 ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the population mean number of paintings that are in teachers' houses is not significantly more than 14 at a = 0.01, so there is insufficient evidence to conclude that…
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