Suppose you are a product engineer for a tool manufacturing company, and want to investigate the strength of several new prototype redesigns of one of your drills. You have 13 new drill designs and would like to include a control group also of the original drill design. Your firm has decided to sample 33 drills for each new drill design and 33 drills in the control group with the original drill Using this information, you conduct an ANOVA test based on a quantitative measure of the drill's performance, and find that there is a sum of squares between treatments of 2593.9, along with a sum of squares error of 5534.0. Using this information, what was the MSE of your analysis?
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- What is meant by the sample space of an experiment?What is an experiment?Suppose you are a product engineer for a tool manufacturing company, and want to investigate the strength of several new prototype redesigns of one of your drills. You have 15 new drill designs and would like to include a control group also of the original drill design. Your firm has decided to sample 33 drills for each new drill design and 33 drills in the control group with the original drill design. Using this information, you conduct an ANOVA test based on a quantitative measure of the drill's performance, and find that there is a sum of squares between treatments of 2594.0, along with a sum of squares error of 5245.8. Using this information, what was the F-statistic of your analysis? Only round final answer. Round to two decimal places.
- Suppose you are a product engineer for a tool manufacturing company, and want to investigate the strength of several new prototype redesigns of one of your drills. You have 13 new drill designs and would like to include a control group also of the original drill design. Your firm has decided to sample 37 drills for each new drill design and 37 drills in the control group with the original design. Using this information, if you were to conduct an ANOVA test based on a quantitative measure of the drill's performance, what is the degree of freedom associated with the variation within groups (SSE) in this analysis (denominator degree of freedom)?A low-level CDC bureaucrat wants to please his boss by gathering evidence that the current government mandated shut down of society is not causing people's mental health to deteriorate, so that it can safely be continued for several years if the expert says is necessary. He pulls a random sample of 1600 citizens, Gathering data on such items as income loss, weight gain, access to toilet paper, our spent binge watching Netflix, and number of injuries caused by household fight, and compiles all this into a significantly-weighted "misery index". The mean misery index from the sample is 99.2; it seems reasonable to use a population standard deviation o=19.1. A. Does this information provide significant evidence (at the 5% level) that the Nationwide mean misery index is less than 100? Set up appropriate null and alternative hypothesis, calculate the appropriate test statistic, find the p-value, and state your conclusion.A manufacturer of a certain type of hardware has two manufacturing facilities and wants to compare them on the proportion of defective items produced. In a simple random sample of 200 items from facility A, 31 were defective. In a simple random sample of 215 items from Facility B,25 were defective. Test the claim that Facility B produces more defective item using a 5% significance level.
- In the previous year, 40% of women over the age of fifty had regularly scheduled mammograms. Following last year's test, a campaign was initiated to encourage women to be tested regularly. This year, a cancer research group surveys a random sample of 450 women, and 195 respond affirmatively. With a 5% significance level, test to see if the campaign was effective.A company that sells glassware has two manufacturing plants. In a quality control inspection of arandom sample of 150 pieces of glassware from plant A, 8% of the pieces had a defect. In a randomsample of 200 pieces from plant B, 6% of the pieces had a defect.The technology underlying hip replacements has changed as these operations havebecome more popular (over 250,000 in the United States in 2008). Starting in 2003,highly durable ceramic hips were marketed. Unfortunately, for too many patients theincreased durability has been counterbalanced by an increased incidence ofsqueaking. The May 11, 2008, issue of the New York Times reported that in one studyof 143 individuals who received ceramic hips between 2003 and 2005, 10 of the hipsdeveloped squeaking.a. Calculate a lower confidence bound at the 95% confidence level for the trueproportion of such hips that develop squeaking.b. Interpret the 95% confidence level used in (a).
- Due to late delivery problems with an existing supplier, the director of procurement at ElectroTech began to place orders for electrical switches with a new supplier as part of a “dualsource” (two-supplier) strategy. Now she wants to revert to a “single-source” (i.e., one supplier) strategy to simplify purchasing activities. She wishes to conduct a test to infer whether the new supplier will continue to outperform the old supplier. Based on recent sample data, she found that 27 of 150 orders placed with the old supplier arrived late, whereas 6 of 75 orders placed with the new supplier arrived late. (You may find it useful to reference the appropriate table: z table or t table) a. Select the appropriate null and alternative hypotheses to test for whether the proportion of late deliveries with the new supplier is less than that of the old supplier.multiple choice 1 H0: p1 − p2 = 0; HA: p1 − p2 ≠ 0 H0: p1 − p2 ≤ 0; HA: p1 − p2 > 0 H0: p1 − p2 ≥ 0; HA: p1 − p2 < 0…A high school principal wanted to know if there was a difference in absences for 9th grade, 10th grade, 11th grade, and 12th grade among students with less than a 2.0 GPA. She took a random sample of n=5 students from each grade level and compared absences among the four grades using ANOVA. 9th grade 10th grade 11th grade 12th grade 6 10 17 15 9 12 8 16 6 11 11 12 7 11 14 12 7 14 15 12 Which of the following is the…Since an instant replay system for tennis was introduced at a major tournament, men challenged 1396 referee calls, with the result that 422 of the calls were overturned. Women challenged 740 referee calls, and 229 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test? Identify the test statistic. (round to two decimal places as needed) Identify the P-value. (round to four decimal places as needed) The P-value is ___________ ( less than/greater than) the significance level α, so __________ ( reject/fail to reject) the null hypothesis. There is ________ ( sufficient/insufficient) evidence to warrant rejection of the claim that women…