Draw the rejection region curve also fill in the blanks for conclusion
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- The Central Limit Theorem (CLT) requires a sample be randomly collected. This is to... Reduce bias and reduce accuracy. Reduce standard error and reduce precision Reduce the standard error and increase precision. Reduce bias and increase accuracyWhat is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The U.S. Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x = depth of dive in meters, and let y = optimal time in hours. A random sample of divers gave the following data.x 12.1 26.3 32.2 38.3 51.3 20.5 22.7y 2.48 2.18 1.48 1.03 0.75 2.38 2.20 a) Find the predicted optimal time in hours for a dive depth of x = 22 meters. (Round your answer to two decimal places.)______ hr b) Find an 80% confidence interval for y when x = 22 meters. (Round your answers to two decimal places.)lower limit= ____ hrupper limit =____hr c) Find a 90% confidence interval for ? and interpret its meaning. (Round your answers to three decimal places.)lower limit =upper limit=Athletes are interested to know whether their Transition 1 time from swim to bike in a sprint triathlon is the same as in a super sprint triathlon. Consider the 2013 male triathletes who competed in both the Individual Sprint Triathlon (sprint) and in the Team Relay Triathlon (super sprint) as a sample of all male triathletes. Details of their race times can be found in the Excel sheet “2013 Men Sprint & Super Sprint”. (Hint: The athlete’s individual performance in a Team Relay is their Super Sprint data.) a) Consider the differences for Transition 1 times between a sprint triathlon and a super sprint triathlon. (Hint: The sample data are matched pairs. Explain why.) Find the sample mean and sample standard deviation for the differences. b) Is there enough evidence at the 10% significance level to conclude that the average Transition 1 time is different in a sprint than in a super sprint? (Hint: Use the results of a) and apply the t-test for difference of population means.)…
- A load of 200 desk lamps has just arrived at the warehouse of Lighting, Inc. Random samples of n = 5 lamps are checked. If more than one lamp is defective, the whole lot is rejected. Set up the OC curve for this plan and develop the AOQ curve.What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The U.S. Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x = depth of dive in meters, and let y = optimal time in hours. A random sample of divers gave the following data. 15.1 26.3 31.2 38.3 51.3 20.5 22.7 y 2.68 2.38 1.48 1.03 0.75 2.38 2.20 (a) Find Ex, Ey, Ex², Ey², Exy, and r. (Round r to three decimal places.) Σχ = Ey = Ex? = Ey? = Σχy r = (b) Use a 1% level of significance to test the claim that p < 0. (Round your answers to two decimal places.) t = critical t = Conclusion O Fail to reject the null hypothesis. There is insufficient evidence that p < 0. O Fail to reject the null hypothesis. There is sufficient evidence that p < 0. O Reject the null hypothesis. There is insufficient evidence that p < 0. O…What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The U.S. Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x = depth of dive in meters, and let y = optimal time in hours. A random sample of divers gave the following data. 16.1 23.3 29.2 38.3 51.3 20.5 22.7 2.68 2.18 1.88 1.03 0.75 2.38 2.20 (c) Find S, a, and b. (Round your answers to five decimal places.) e' Se a = b = (d) Find the predicted optimal time in hours for a dive depth of x = 38 meters. (Round your answer to two decimal places.) hr (e) Find an 80% confidence interval for y when x = 38 meters. (Round your answers to two decimal places.) lower limit hr upper limit hr (f) Use a 1% level of significance to test the claim that ß < 0. (Round your answers to two decimal places.) t = critical t = (g) Find a 90%…
- The approximate costs for a 30-second spot for various cable networks in a random selection of cities are shown below. Estimate the lower boundary of the true population mean cost for a 30-second advertisement on cable network with 90% confidence.It was also asking for rejection region. What would that be?What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The U.S. Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x = depth of dive in meters, and let y = optimal time in hours. A random sample of divers gave the following data. x 16.1 26.3 29.2 38.3 51.3 20.5 22.7 y 2.68 1.98 1.48 1.03 0.75 2.38 2.20 (b) Use a 1% level of significance to test the claim that ? < 0. (Round your answers to two decimal places.) t = critical t =
- Big Hitter is a manufacturer of golf products in the United States and Canada. One of the golf accessories it produces at its plant in Winnipeg, Manitoba, Canada, is plastic golf tees. The injector molder produces golf tees that are designed to have an average height of 66mm. To determine if this specification is met, random samples are taken from the production floor. One sample is contained in the file labeled THeight. Determine if the process is not producing the tees to specification. Use a significance level of 0.01. If the hypothesis test determines the specification is not being met, the production process will be shut down while causes and remedies are determined. At times this occurs even though the process is functioning to specification. What type of statistical error would this be? THeight 67.05 66.61 65.58 65.26 66.23 65.69 64.90 67.67 65.77 66.13 67.43 65.77 66.46 66.31 66.39 66.10 66.58 66.98 67.13 65.81 66.86 66.26…Studies on the seabed's habitat (natural environment) are carried out by dredging the sea bottom. Area to estimate the number of clams in a given area; It was studied in four parts (layers) as north, south, east and west. The size of each layer is 901680, 200765, 203355 and 800509 m2, respectively. The size of the areas selected as samples from the layers, the average weight of the scallops in the selected area and the variance of the weight are given in the table below. Estimate the total number of clams in the area. Calculate the estimation error limit.