Treatment Groups Auditory Tactile Visual 20-29 490 615 600 30-39 465 375 520 40-49 685 500 605 50-59 605 760 520 60-69 690 510 545 1. Find the sample mean of the three stimulus
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- The highway Loss Data Institute routinely collects data on collision coverage claims. Collision coverage insures aigainst physical damage to an insured individual's vehicle. The data represent a random sample of 18 collision coverage claims based on the data obtained from the highway Loss Data Institute for 2004 models. a) Find and Interpret the first, the second and the third quartiles for collision claims. (For Q2, use the vlookup function) b) Compute the interquartile rangec) Find any outliers.d) Sketch the boxplot and comment on the shape of the distribution. data (in $) 6751 189 10034 9908 1185 735 3461 370 802 2336 1414 618 21147 4668 180 2332 1953 1657Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the development of a recreational park on the west side of town. A community action group interested in preserving the environment claims that 45% of the town’s residents favor the development of a recreational park. To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each with a sample of 200, using the point estimate of the population. The minimum sample proportion from the simulation is 0.46 and the maximum sample proportion is 0.76. a. What is the point estimate of the population? b. The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion? c.The margin of error of the population proportion is found using the half the range. What is the interval estimate of the true population proportion? d. Is the community action…How does the Kaplan-Meier approach to estimating the survival function utilize information from censored observations?
- Vertical banded gastroplasty is a surgical procedure that reduces the volume of the stomach in order to produce weight loss. In a recent study, 82 patients with Type 2 diabetes underwent this procedure, and 59 of them experienced a recovery from diabetes. Does this study provide convincing evidence that more than 60% of those with diabetes who undergo this surgery will recover from diabetes? Use a 5% level significance.Reducing scrap of 4-foot planks of hardwood is an important factor in reducing cost at a wood-flooring manufacturing company. Accordingly, engineers at Lumberworks are investigating a potential new cutting method involving lateral sawing that may reduce the scrap rate. To examine its viability, samples of 600 and 500 planks, respectively, were examined under the old and new methods. Sixty-one of the 600 planks were scrapped under the old method, whereas 36 of the 500 planks were scrapped under the new method. (You may find it useful to reference the appropriate table: z table or t table)a. Construct the 99% confidence interval for the difference between the population scrap rates between the old and new methods, respectively. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)A researcher wants to know if there is a significant association between place of residence (rural vs urban) and home security (locking doors vs not locking doors). The level of significance is 0.05, the number of degrees of freedom is 1, and the critical value is 3.84. Be sure to clearly indicate the marginals for the contingency table Does not lock door Does lock door Rural 15 35 Urban 10 40 For this question, on your hand calculation document clearly state: a) the null hypothesis, b) the alternative hypothesis, c) the alpha level you are using, d) the critical value, e) process for calculating chi-square, and f) your decision about the null hypothesis. This is what I will be marking. You may also enter your responses here, but it is not required. Priority will be given to the hand calculation document.
- based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the development of a recreational park on the west side of town. A community action group interested in preserving the environment claims that 45% of the towns residence favor the development of a recreational park. To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each with a sample of 200, using the point estimate of the population. The minimum sample proportion from the simulation is 0.46 and the maximum sample proportion is 0.76. a) is the community action group claims likely based on either interval estimate of the true population proportion?A marketing manager of a pizza parlor propose a campaign to promote online sales in a town during the time of lockdown. It is proposed that customers be compensated with RM7 e-Voucher if delivery time is greater than 20 minutes for addresses located within four kilometers radius from the parlor with minimum order of RM40. The manager collected delivery time of 30 orders out of the total of 180 orders in the month of January of 2021 and found that the delivery time has mean of 15 minutes. In the past, the standard deviation of delivery time for the delivery staff has been found 3 minutes. What is the probability that delivery time within the town is less than 10 minutes?A marketing manager of a pizza parlor propose a campaign to promote online sales in a town during the time of lockdown. It is proposed that customers be compensated with RM7 e-Voucher if delivery time is greater than 20 minutes for addresses located within four kilometers radius from the parlor with minimum order of RM40. The manager collected delivery time of 30 orders out of the total of 180 orders in the month of January of 2021 and found that the delivery time has mean of 15 minutes. In the past, the standard deviation of delivery time for the delivery staff has been found 3 minutes. What is the probability that delivery time is greater than 18 minutes?
- A marketing manager of a pizza parlor propose a campaign to promote online sales in a town during the time of lockdown. It is proposed that customers be compensated with RM7 e-Voucher if delivery time is greater than 20 minutes for addresses located within four kilometers radius from the parlor with minimum order of RM40. The manager collected delivery time of 30 orders out of the total of 180 orders in the month of January of 2021 and found that the delivery time has mean of 15 minutes. In the past, the standard deviation of delivery time for the delivery staff has been found 3 minutes. a) What is the probability that delivery time within the town is less than 10 minutes? b) What is the probability that delivery time is greater than 18 minutes? c) Estimate at expected cost of late delivery per month. d) Would you recommend the marketing manager to make the statement in the promotional flyers? Explain your answer.A health insurance company in country A sells policies to tourists who intend to visit the US for less than 3 months. To limit its financial exposure, it requires applicants to undertake a physical examination and meet specified criteria for different tests. To simplify the problem, let us assume that only one test is done and it measures cholesterol level of the applicant. Historical records in country A indicate that cholesterol level is normally distributed with a mean of 225 milligrams per deciliter (mg/dL) and a standard deviation of 39.5 mg/dL. High cholesterol levels increase the risk of a cardiovascular incident, for which the company may need to make major insurance payouts. The premium charged is a flat $3000/person for those who qualify. For planning purposes, assume the company will get 100,000 applications in a particular year. [show your calculations for all parts] a. The current threshold T for cholesterol is set by the company at 250 mg/dL. Anyone whose test result is…Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their studies show that the more carry-on baggage passengers have, the longer it takes to unload and load passengers. One regional airline is considering changing its policy to allow only one carry-on per passenger. Before doing so, it decided to collect some data. Specifically, a random sample of 1,000 passengers was selected. The passengers were observed, and the number of bags carried on the plane was noted. Out of the 1,000 passengers, 363 had more than one bag. Complete parts a through d below. a. Based on this sample, develop and interpret a 95% confidence interval estimate for the proportion of the traveling population that would have been impacted had the one-bag limit been in effect. Determine the confidence interval. ?? ——— ?? (Round to three decimal places as needed. Use ascending order.) Which statement below correctly interprets the…