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2. A banana company claims that the mean weight of their banana is 150 grams with a standard deviation of 18 grams. Data generated from a sample of 49 bananas randomly selected indicated a mean weight of 153.5grams per banana. Is there sufficient evidence to reject the company's claim? Use a = 0.05. A. define and illustrate the null hypothesis, alternative hypothesis, level of significance. It is given that the hypothesized mean is 150 grams. 1) The claim is that the mean weight of the banana is 150 grams. The null and alternative hypotheses are as follows: Họ: u-150 grams That is, Ho: The mean weight of the banana is 150 grams. H:: u#150 grams That is, H1: The mean weight of the banana is not 150 grams. From the given information, the level of significance is 0.05. B. identify the parameter to be tested. 2) Here the test is about population mean. Thus, the parameter of interest is the population mean weight of the banana. In this case, the parameter to be tested here is population mean weight of the banana (µ). C. identify the appropriate form of test statistics. 3) The test is about population mean and the population standard deviation is known. Thus, we should use z test statistic. The appropriate form of the test statistics is := The test statistic is: 153.5-150 18 V49 =1.36 D. identify the rejection and non-rejection regions and the critical values. E. Make a conclusion base from the result you obtain F. identify if it is a Type I and Type II errors in claims and decisions

2. A banana company claims that the mean weight of their banana is 150 grams with a standard deviation of 18 grams. Data generated from a sample of 49 bananas randomly selected indicated a mean weight of 153.5grams per banana. Is there sufficient evidence to reject the company's claim? Use a = 0.05. A. define and illustrate the null hypothesis, alternative hypothesis, level of significance. It is given that the hypothesized mean is 150 grams. 1) The claim is that the mean weight of the banana is 150 grams. The null and alternative hypotheses are as follows: Họ: u-150 grams That is, Ho: The mean weight of the banana is 150 grams. H:: u#150 grams That is, H1: The mean weight of the banana is not 150 grams. From the given information, the level of significance is 0.05. B. identify the parameter to be tested. 2) Here the test is about population mean. Thus, the parameter of interest is the population mean weight of the banana. In this case, the parameter to be tested here is population mean weight of the banana (µ). C. identify the appropriate form of test statistics. 3) The test is about population mean and the population standard deviation is known. Thus, we should use z test statistic. The appropriate form of the test statistics is := The test statistic is: 153.5-150 18 V49 =1.36 D. identify the rejection and non-rejection regions and the critical values. E. Make a conclusion base from the result you obtain F. identify if it is a Type I and Type II errors in claims and decisions

MATLAB: An Introduction with Applications
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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NOTE: ANSWER ONLY D TO F, AND PLEASE PROVIDE EXPLANATION.
2. A banana company claims that the mean weight of their banana is 150 grams with a standard deviation of 18 grams. Data generated from a sample of 49 bananas randomly selected indicated a mean weight of 153.5grams per banana. Is there sufficient evidence to reject the company's claim? Use a = 0.05. A. define and illustrate the null hypothesis, alternative hypothesis, level of significance. It is given that the hypothesized mean is 150 grams. 1) The claim is that the mean weight of the banana is 150 grams. The null and alternative hypotheses are as follows: Họ: u=150 grams That is, Họ: The mean weight of the banana is 150 grams. H1: µ#150 grams That is, H1: The mean weight of the banana is not 150 grams. From the given information, the level of significance is 0.05. B. identify the parameter to be tested. 2) Here the test is about population mean. Thus, the parameter of interest is the population mean weight of the banana. In this case, the parameter to be tested here is population mean weight of the banana (u). C. identify the appropriate form of test statistics. 3) The test is about population mean and the population standard deviation is known. Thus, we should use z test statistic. The appropriate form of the test statistics is := The test statistic is: In 153.5-150 18 V49 =1.36 D. identify the rejection and non-rejection regions and the critical values. E. Make a conclusion base from the result you obtain F. identify if it is a Type I and Type II errors in claims and decisions
Transcribed Image Text:2. A banana company claims that the mean weight of their banana is 150 grams with a standard deviation of 18 grams. Data generated from a sample of 49 bananas randomly selected indicated a mean weight of 153.5grams per banana. Is there sufficient evidence to reject the company's claim? Use a = 0.05. A. define and illustrate the null hypothesis, alternative hypothesis, level of significance. It is given that the hypothesized mean is 150 grams. 1) The claim is that the mean weight of the banana is 150 grams. The null and alternative hypotheses are as follows: Họ: u=150 grams That is, Họ: The mean weight of the banana is 150 grams. H1: µ#150 grams That is, H1: The mean weight of the banana is not 150 grams. From the given information, the level of significance is 0.05. B. identify the parameter to be tested. 2) Here the test is about population mean. Thus, the parameter of interest is the population mean weight of the banana. In this case, the parameter to be tested here is population mean weight of the banana (u). C. identify the appropriate form of test statistics. 3) The test is about population mean and the population standard deviation is known. Thus, we should use z test statistic. The appropriate form of the test statistics is := The test statistic is: In 153.5-150 18 V49 =1.36 D. identify the rejection and non-rejection regions and the critical values. E. Make a conclusion base from the result you obtain F. identify if it is a Type I and Type II errors in claims and decisions
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