A production supervisor at a major chemical company must determine whether the variance of the chemical yield of two catalysts XA-100 or catalystZB-200, differs significantly.The supervisor collected 5 observations of XA-100 yields and 7 observations of ZB-200 yields. The sample variance is 0.27 for XA-100 and 1.23 for ZB-200.If we wish to show that the variance difference is significant at the .10 level of significance, what is the correct critical value to use?:46Multiple Choice< Prev 26 of 26Next >McGrawHill!1भनेQA1optionNO. 4.88O6.16@230€F2WS3.373.97XHcommand4.01#380F3EDC$4888FAܘܘܘRF%5V75TG6MacBook Air76BYH&7NF7U*8JDilFB1M(9KDDOv -)OLHcommandF10P^.7-:....IoptionFW1{[+?=1:.40)}1deletereturnshi

In hypothesis testing, a critical value is a point on the test distribution that is compared to the…

Answered: A production supervisor at a major…

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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A researcher is interested in whether North Americans are able to identify emotions correctly in people from other cultures. It is known that, using a particular method of measurement, the accuracy ratings of adult North Americans in general are normally distributed with a mean of 82 and a variance of 20. This distribution is based on ratings made of emotions expressed by other North Americans. In the present study, however, the researcher arranges to test 50 adult North Americans rating emotions of individuals from Vulcan. The mean accuracy for these 50 individuals was 78. What should the researcher conclude?
Earlier this semester, we learned to use 2-Sample-TTest to compare the population means of two independent populations. One-way ANOVA is more powerful because it could compare the population means of three or more independent populations. However, use of one-way ANOVA also requires the assumption that the populations have the same variance. In this exercise, we will compare and contrast One-way ANOVA and 2-Sample-TTest. With the 2-Sample- TTEST, we will first choose 'No' for the pooled variances option, then re-run the test while choosing 'Yes' for the pooled variances option. Use the following data to complete these tasks. Depending on if you choose to do this by hand or using code, use the data format that suits you best - LONG form on top or WIDE form on bottom. Treatment One One One One One One One One Two Two Two Two Two Two Two Two Treatment Treatment One Two 5.6 4.7 3.6 3.9 5.2 4.3 4.1 4.8 Response 5.6 4.7 3.6 3.9 5.2 4.3 4.1 4.8 3.4 2.3 4.4 3.5 3.7 5.8 2.8 4.7 p-value= 3.4 2.3…
A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salaries of secondary school teachers. A sample of the salaries of 9 elementary school teachers has a variance of $9450, and a sample of the salaries of 10 secondary school teachers has a variance of $3899. At 0.05 level of significance, can the researcher conclude that the variation in the elementary school teachers’ salaries is greater than the variation in the secondary school teachers’ salaries? Required: Test Value Only the final answer should be rounded-off to TWO decimal places.
In order to ensure that there is not a large disparity in the quality of education at various schools in a school district, the school board wants to make sure that the variance of the mean standardized-test scores for all students at each school in the district is less than 2. To test this claim, they looked at the mean student scores for the standardized test from a random sample of 27 schools in the district. The results from the survey found that the overall mean was a score of 209.740 with a standard deviation of 1.210. With α=0.05, perform a hypothesis test to determine if the variance is less than 2. Assume that the district standardized-test scores are normally distributed. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
Two coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for 20 commutes. The first worker's times have a variance of 12.2. The second worker's times have a variance of 16.9. The first worker thinks that he is more consistent with his commute times and that his commute time is shorter. Test the claim at the 10% level.What is the F statistic? (Round your answer to two decimal places.)
Two soap brands have a competition over the longevity of their bars. A sample of 21 bars from company A lasts an average of 13.1 days with a sample variance of 21.2. A sample of 24 bars from company B lasts for an average 10.3 days with a sample variance of 19.3. Test to see if company A’s variance is larger than company B's variance using a 5% level of significance. The null hypothesis is that the variances are the same. The alternate hypothesis is that company A’s variance is larger than company B’s variance. Report your conclusion: a) fail to reject the null hypothesis b) reject the null hypothesis
A new sleeping pill is advertised to increase the daily sleeping time of insomniacs by an average of 3.0 hours, with a variance of 0.27. A government group conducts an independent study on the new pill, claiming that the actual variance, o, of increase in sleeping time is higher than the advertised variance. The government group tests 20 insomniacs, chosen at random, with the new pill. The insomniacs report a mean daily sleeping increase of 2.9 hours, with a variance of 0.35. Is there enough evidence to conclude, at the 0.1 level of significance, that the government group is correct? Assume that the increase in the sleeping time provided by the new pill is normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p Họ :0 H :0 (b) Determine the…
A drug which is used for treating diabetes has potentially dangerous side effects if it is taken in doses which are larger than the required dosage for the treatment. A medical researcher believes that the variance in dosage is different for two tablets made by different production facilities. The sample variance of a sample of 11 dosages of tablet "A" is 0.013 . The sample variance of a sample of 28 dosages of tablet "B" is 0.01 . Construct the 90% confidence interval for the ratio of the population variances. Round your answers to four decimal places.
A clinical psychologist wants to compare the efficacy of medication versus Cognitive Behavioral Therapy. He specifically believes that medication will reduce the frequency of suicidal ideation more than Cognitive Behavioral Therapy. He finds that the medicated group (n = 22) reports an average of 1.84 suicidal thoughts, with a sample variance = 9.01. The CBT group (n = 22) reports an average of 3.92 with a sample variance of 9.13. What would be the test statisitc the clinican observes given this data? (Be sure to round your answer to the second decimal place). "
Recent evidence suggests that graduating from college during bad economic times can impact the graduate's earning power for a long time (Financial Times, June 1, 2012). An associate dean at a prestigious college wants to determine if the starting salary of his college graduates has declined from 2008 to 2010. He expects the variance of the salaries to be different between these two years. The data are shown in the accompanying table and are contained in the accompanying Excel file. (You may find it useful to reference the appropriate table: z table or t table) Let Sample 1 be the sample of the starting salary of college graduates in 2008 and Sample 2 be the sample of the starting salary of college graduates in 2010. a. Specify the competing hypotheses that determine whether the starting salary of college graduates has declined from 2008 to 2010. (Which one is correct) H0: μ1 − μ2 = 0; HA: μ1 − μ2 ≠ 0 H0: μ1 − μ2 ≥ 0; HA: μ1 − μ2 < 0 H0: μ1 − μ2 ≤ 0; HA: μ1 − μ2 >…
It is hypothesized that the total sales of a corporation should vary more in an industry with active price competition than in one with duopoly and tacit collusion. In a study of the merchant ship production industry it was found that in 4 years of active price competition, the variance of company A’s total sales was 114.09. In the following 7 years, during which there was duopoly and tacit collusion, this variance was 16.08. Assume that the data can be regarded as an independent random sample from two normal distributions. 1. Test, at the 5% level, the null hypothesis that the two population variances are equal against the alternative that they are not equal.
Two coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for 20 commutes. The first worker's times have a variance of 12.1. The second worker's times have a variance of 16.9. The first worker thinks that he is more consistent with his commute times and that his commute time is shorter. Test the claim at the 10% level. What is s1 in this problem? What is s2 in this problem?

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