The summary statistics for a certain set of points are:n = 25, s = 2.76, Σ (x-x)² = 132.96, and b₁ = 2.91.Assume the conditions of the linear model hold. A 98% confidence interval for B₁ will be constructed.Part: 0 / 4Part 1 of 4How many degrees of freedom are there for the critical value?The degrees of freedom for the critical value areXS

n=25want to construct a 98% confidence interval for .want to find a degree of freedom of critical…

Answered: The summary statistics for a certain…

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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The amount of heat dissipated by a convective heat exchanger is governed by the equation Q= (AT)(A)/C where AT = temperature difference between the outside air and heat exchanger, A = cross sectional area of the heat exchanger, and C = reciprocal of convective heat transfer coefficient, The inputs are normally distributed with the following characteristics. Lower Upper Standard Variable Constraint Constraint Deviation AT 10 50 0.02 A 5000 20 000 0.6 0.001 0.001 What are the nominal values for the inputs which would result in the least variation of output and also achieve a heat dissipation value of 100 000. For the answer, list the value of A.
Create a normal probability plot.
For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x= 6.4, y = 6.0, r= - 0.267, P-value = 0.061, and y= 7.90- 0.296x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x= 4. Use a 0.01 significance level. The best predicted value of y when x= 4 is. (Round to one decimal place as needed.)
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 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.…
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 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=
weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 0.05, test the hypothesis that the three formulas produce the same mean weight gain.H0: μ1 = μ2 = μ3Ha: At least two of the means differ from each other Forumla A Forumla B Forumla C 51 39.4 53.6 55.8 55.1 42.4 53.8 33.1 50.1 43.2 58.7 40.4 42.1 40.4 46.9 50.1 19 45.6 59.5 43.2 48.7 35.4 32.2 49.5 45.2 16.4 56.1 Run a one-factor ANOVA with α=0.05. Report the F-ratio to 4 decimal places and the p-value to 4 decimal places.F = p-value = Based on the p-value, what is the conclusion Reject the null hypothesis: at least one of the group means is different Fail to reject the null hypothesis: not sufficient evidence to suggest the group means are different
For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x = 6.4, y = 5.9, r= - 0.319, P-value = 0.024, and y = 8.29 – 0.379x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x = 8. Use a 0.10 significance level. ..... The best predicted value of y when x= 8 is (Round to one decimal place as needed.)
For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (X) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.2, y = 5.9, r= -0.244, P-value = 0.087, and y =7.68 - 0.285x, Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x= 4. Use a 0.05 significance level. The best predicted value of y when x = 4 is (Round to one decimal place as needed.)
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%…
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 =
For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.4, y= 6.0, r= -0.124, P-value = 0.391, and y = 6.95-0.146x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x = 7. Use a 0.10 significance level. The best predicted value of y when x 7 is. (Round to one decimal place as needed.)

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