Let T follow the student distribution with degree of freedom v = 11. Find the value of constant K, If P(T < K) = 0.95
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- Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 100 pounds and a standard deviation of 38.5 pounds. Random samples of size 18 are drawn from this population and the mean of each sample is determined. μx=nothingANSWER COMPLETELY FOR UPVOTEWhat 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 22.7 25.3 1.98 32.2 38.3 51.3 20.5 y 2.78 1.88 1.03 0.75 2.38 2.20 (a) Find Ex, Ey, Ex, Ey", Exy, and r. (Round r to three decimal places.) Ex= Ey= Ey? - Exy = (b) Use a 1% level of significance to test the claim that p < 0. (Round your answers to two decimal places.) critical t= Conclusion O Fail to reject the null hypothesis. There is sufficient evidence that p < 0. O Fail to reject the null hypothesis. There is insufficient evidence that p < 0. Reject the null hypothesis. There is sufficient evidence that p < 0. Reject the null hypothesis.…
- GjcvWhat 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=Number 2
- 8Let X be b(2, p) (binomial distribution). Assume P(X > 1) = (a) Find p. (b) Compute P[X = 2]. %3DWhat 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%…Let X have a uniform distribution on the interval (2, 9). Find the probability that the sum of 2 independent observations of X is greater than 16.The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is less than 51 min.P(X < 51) =
