A company is doing a hypothesis test on the variation in quality from two suppliers. Both distributions arenormal, and the populations are independent. Use a = 0.05. A sample of 31 products were selected fromSupplier 1 and a standard deviation of quality was found to be 3.77. A sample of 16 products were selectedfrom Supplier 2 and a standard deviation of quality was found to be 3.5659. Test to see if the variance inquality for Supplier 1 is larger than Supplier 2.What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbolsin the order they appear in the problem.Ho: 0.²H₁: 0.²Based on the hypotheses, compute the following:Round answers to at least 4 decimal places.The test statistic is =The p-value is =The decision is to [Fail to reject the null hypothesisThe correct summary would be: There is not enough evidence to support the claimin quality for Supplier 1 is larger than Supplier 2.o that the variance

The F - test compares the equality of two variances and the formula of F test statistic is given by…

Answered: A company is doing a hypothesis test on…

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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Woodland and Clear Beach are schools in different states. Alan is a student at Woodland and is 56 inches tall. Goran is a student at Clear Beach and is 45 inches tall. The heights of students at Woodland have a population mean of 65.2 inches and a standard deviation of 4.1 inches. The heights of students at Clear Beach have a population mean of 59.5 inches with a standard deviation of 4.9 inches. For each school, the distribution of the heights of students is clearly bell-shaped. (a) Find the z-scores of Alan's height as a student at Woodland and Goran's height as a student at Clear Beach. Round your answers to two decimal places. Z-score of Alan's height: Z-score of Goran's height: (b) Relative to his population, which student is shorter? Choose the best answer based on the z-scores of the two heights. O Alan O Goran O It is unclear which student is shorter relative to his population
Researchers conducted a study on using a chief executive officer's facial structure to predict a firm's financial performance. The facial width-to-height ratio (WHR) for each in a sample of 53 CEOs at publicly traded firms was determined. The sample resulted in x= 1.94 and s = 0.15. An analyst wants to predict the financial performance of a firm based on the value of the true mean facial WHR of CEOs. The analyst wants to use the value of u = 2.2. Do you recommend he use this value? Conduct a test of hypothesis for u to help you answer the question. Specify all the elements of the test, including Ho, Ha, test statistic, p-value, and your conclusion. Test at a = 0.05.
A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is not equal to the mean of WaxCo. In a random sample of 33 floors of WaxWin and 37 of WaxCo. WaxWin had a mean lifetime of 28.5 and WaxCo had a mean lifetime of 29.7. The population standard deviation for WaxWin is assumed to be 5.6 and the population standard deviation for WaxCo is assumed to be 6.6.
A coin-operated coffee machìne made by BIG Corporation was designed to discharge a mean of 7.1 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffee dispensed by the machine, u, is greater than 7.1 ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 7.5 ounces and that the standard deviation is 0.3 ounces. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? H u is ? H:p is 7 In the context of this test, what is a Type II error? A Type II error is ? e the hypothesis that u is ? e when, in fact, u is 7 Suppose that BIG decides not to reject the null hypothesis. What sort of error might it be making?
A production engineer wants to determine if two assembly lines are producing the same mean number of units daily. To test this: a sample of 10 days on line A reveals a mean of 110 units with a variance of 200 a sample of 15 days on line B reveals a mean of 100 units with a variance of 150. Set up hypotheses and perform the appropriate test to resolve this question. Fully interpret your results.
For a study conducted by the research department of a pharmaceutical company, 245 randomly selected individuals were asked to report the amount of money they spend annually on prescription allergy relief medication. The sample mean was found to be $17.80 with a standard deviation of $4.30. A random sample of 225 individuals was selected independently of the first sample. These individuals reported their annual spending on non-prescription allergy relief medication. The mean of the second sample was found to be $18.20 with a standard deviation of $3.60. As the sample sizes were quite large, it was assumed that the respective population standard deviations of the spending for prescription and non-prescription allergy relief medication could be estimated as the respective sample standard deviation values given above. Construct a 90% confidence interval for the difference H₁ H₂ between the mean spending on prescription allergy relief medication (₁) and the mean spending on non-prescription…
A sample of 79 female workers and another sample of 51 male workers from a state produced mean weekly earnings of $728.22 for the females and $761.88 for the males. Suppose that the population standard deviations of the weekly earnings are $ 75.84 for all females and $ 102.10 for all males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. Derive the corresponding 95% confidence interval, rounded to two decimal places, for the difference between the mean weekly earnings for all female and male workers in this state. to i
A production engineer wants to determine if two assembly lines are producing the same mean number of units To test this: a sample of 10 days on line A reveals a mean of 110 units with a variance of 200 a sample of 15 days on line B reveals a mean of 100 units with a variance of 150. 1. Set up hypotheses and perform the appropriate test to resolve this question. Fully interpret your results.
The Golden Comet is a hybrid chicken that is prized for its high egg production rate and gentle disposition. According to recent studies, the mean rate of egg production for 1-year-old Golden Comets is 5.1 eggs/week. Sarah has 35 1-year-old hens that are fed exclusively on natural scratch feed: insects, seeds, and plants that the hens obtain as they range freely around the farm. Her hens exhibit a mean egg-laying rate of 5.4 eggs/day. Sarah wants to determine whether the mean laying rate u for her hens is higher than the mean rate for all Golden Comets. Assume the population standard deviation to be o = 2.0 eggs/day. i. State the appropriate null and alternate hypotheses. ii. Compute the value of the test statistic. iii. State a conclusion. Use the a= 0.05 level of significance.
Professor Hayashi has implemented a new book for his Fall 2013 statistics course. He wants to see if the new book has an effect on the exam average for Exam 3. He knows that the Exam 3 mean for all students who have taken his statistic course over the past 10 years is 77.2. He collects some data from a sample of 9 students and finds that the Exam 3 mean for his Fall 2013 statistics students is 81.7 with a variance of 32.49.Measure effect size using Cohen's D.
2. Suppose the weight of fish caught from the Santa Monica Pier is normally distributed. From a random sample of 20 recently caught fish, the sample mean is found to be 22.0 ounces and the sample variance is found to be 25.0 ounces. The Fish and Wildlife Department states that the true mean weight is 24.0 ounces. Fishermen claim that due to increased pollution in the bay, the true mean weight is less than 24.0 ounces. Test the claim of the Fish and Wildlife Department at α = 0.05 (or 5%). [14 pts total] What is the null hypothesis? [2 pt] a. Ο μ = 24 Ο μ 24 b. What is the one-sided alternative hypothesis? [2 pt] μ = 24 Ο μ 24 μ = 24 Draw a t-distribution for the alternative hypothesis. Label the mean and shade in the area(s) where you can reject the null hypothesis. [4 pts] d. Calculate and report the appropriate test statistic (3 sig figs) [4 pts] and make your conclusion [2 pts] Reject the null hypothesis Value of test statistic: Fail to reject the null hypothesis 2
A basketball coach believes that the variance of the heights of adult male basketball players is different from the variance of heights for the general population of men. The sample variance of heights, measured in inches, for a random sample of 19 basketball players is 14.22. The sample variance for a random sample of 18 other men is 34.49. Assume that both population distributions are approximately normal and test the coach's claim using a 0.10 level of significance. Does the evidence support the coach's claim? Let male basketball players be Population 1 and men in general be Population 2. Step 3 of 3: Draw a conclusion and interpret the decision.

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