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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Various doses of poisonous substance were given to groups of 25 mice and the following results were obtained in Table Q1: Table Q1 Dose (mg) Number of deaths 4 1 6. 3 6. 10 8 12 14 14 16 16 20 (b) Calculate the sample correlation coefficient between the dose and the number of death. Interpret the result. (c) Calculate the value of Sum Squares Error (SSE) and Mean Square Error (MSE). (d) At the 0.05 level of significance, test the slope greater than one.
A professor in the ISE department claims that there is much more variability in the final exam scores of students taking the introductory statistic course as a requirement than for students taking the course as part of a major in Industrial Engineering (IE).Random samples of 13 non-IE majors (Group 1) and 10 IE majors (Group 2) are taken from the professor's class roster in his large lecture, and the results of the final exam scores show that the variances are 210.2 and 36.5, respectively. Do these data provide sufficient evidence to infer that there are differences in final exam scores between the two groups of students? Carry out an appropriate test of hypotheses at significance level 0.05Answer in 4 decimalsPlease include your calculations- H0- H1- Test Statistic- Value of Test Statistic- What is the numerical value of the critical region? Upper:________, Lower:_________- What is the p-value?- Decision (Reject or Failed to reject)- Conclusion
We are running a hypothesis test to see if blood pressure of African zebras differs significantly from Arabian horses. We assume blood pressure in both populations is normally distributed and both populations have the same population variance in blood pressure which is unknown to us, so we use the sample variances to estimate the standard error for our calculations. We have a sample of size 9 for the African zebras with mean 180 and a sample of size 16 for the Arabian horses with mean 190. If the pooled variance is 36, then what is the standard error estimate for the estimator of the true mean difference in weight for the two populations? 15 NONE OF THE OTHERS 1.25 1.57 2.5
Two different box-filling machines are used on an assembly line. The critical measurement influenced by these machines is the weight of the product in the boxes. Engineers are quite certain that the variance of the weight of product is o² =3 ounces. Experiments are conducted using both machines with sample sizes of 81 each. The sample averages for machines A and B are XA = 12.1 ounces and = 12.3 ounces. Engineers are surprised that the two sample averages for the filling machines are so different. Complete parts (a) XB = and (b) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Use the Central Limit Theorem to determine P(XB-XA20.2) under the condition that HA = HB. P(XB-XA20.2) = 4 Get more help - Clear all Check answer (1)
A sample of 9 days over the past six months showed that that Philip Sherman, DDS, treated the following numbers of patients: 22, 25, 20, 18, 15, 22, 24, 19, and 26. If the number of patients seen per day is normally distributed, would an analysis of these sample data reject the hypothesis that the variance in the number of patients seen per day is equal to 10? Use a = 0.10 level of significance. Use Table 3 from Appendix B. State the hypotheses. Ho: 0² = H₂: 0² 10 Calculate the variance and test statistic. (to 2 decimals) variance = test statistic = What is your conclusion? 10 Do not reject the null hypothesis ✓
Two groups of mice were injected with a measured amount of tumor pulp. The first group of 27 mice was given a high dosage of chemotherapy while the second group of 30 mice was given a low dosage of chemotherapy. After forty days, the first group had an average tumor size of 0.51cc with a variance of 0.10; the second group had an average tumor size of 0.64cc with a variance of 0.045. Were the tumor sizes of group 1 significantly smaller than those of group 2? What is the observed test statistic?
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.)
Would someone familiar with g-power help me complete this?
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 set of solar batteries is used in a research satellite. The satellite can run on only one battery, but it runs best if more than one battery is used. The variance ?2 of lifetimes of these batteries affects the useful lifetime of the satellite before it goes dead. If the variance is too small, all the batteries will tend to die at once. Why? If the variance is too large, the batteries are simply not dependable. Why? Engineers have determined that a variance of ?2 = 23 months (squared) is most desirable for these batteries. A random sample of 22 batteries gave a sample variance of 15 months (squared). Using a 0.05 level of significance, test the claim that ?2 = 23 against the claim that ?2 is different from 23. (f) Find a 90% confidence interval for the population variance. (Round your answers to two decimal places.) (g) Find a 90% confidence interval for the population standard deviation. (Round your answers to two decimal places.)
Explain whether homogeneity of variance is satisfied for this analysis, and be clear on how you decided this.
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.

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