What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depthof the dive. The U.S. Navy has done a lot of research on this topic. The Navy defines the "optimal time" tobe the time at each depth for the best balance between length of work period and decompression timeafter surfacing. Let x = depth of dive in meters, and let y = optimal time in hours. A random sample ofdivers gave the following data.X23.3 29.2 38.3 51.32.38 1.68 1.03y(a) Find Ex, Ey, Ex, Ey, Exy, and r. (Round rto three decimal places.)Σχ=|Ey=Σχ =Σy =Exy=r=16.12.48t=(b) Use a 1% level of significance to test the claim that p < 0. (Round your answers to two decimalplaces.)critical t =20.50.75 2.38(e) Find an 80% confidence interval for y when x = 38 meters. (Round your answers to two decimal places.)lower limitupper limithrt=critical t =22.72.20hr(f) Use a 1% level of significance to test the claim that ß <0. (Round your answers to two decimalplaces.)

x y 16.1 2.48 23.3 2.38 29.2 1.68 38.3 1.03 51.3 0.75 20.5 2.38 22.7 2.2 NOTE: Hi…

Answered: t is the optim time for a scuba diver…

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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When water flows across farmland, some soil is washed away, resulting in erosion. An experiment was conducted to investigate the effect of the rate of water flow (liters per second) on the amount of soil (kilograms) washed away. The data are given in the following table: Flow rate 0.31 0.85 1.26 2.47 3.75 Eroded soil 0.82 1.95 2.18 3.01 6.07 Let xx represent the flow rate variable and yy represent the variable for soil eroded. Then \bar x = 1.73, s_x = 1.38, \bar y = 2.81, s_y = 1.99xˉ=1.73,sx=1.38,yˉ=2.81,sy=1.99 Use this to complete the following calculation of the correlation coefficient for these data. r = \frac{1}{n-1}\left[\left(\frac{x_1 - \bar x}{s_x}\right)\left(\frac{y_1 - \bar y}{s_y}\right) + \left(\frac{x_2 - \bar x}{s_x}\right)\left(\frac{y_2 - \bar y}{s_y}\right) + \cdots + \left(\frac{x_n - \bar x}{s_x}\right)\left(\frac{y_n - \bar y}{s_y}\right)\right]r=n−11[(sxx1−xˉ)(syy1−yˉ)+(sxx2−xˉ)(syy2−yˉ)+⋯+(sxxn−xˉ)(syyn−yˉ)]…
Can balloons hold more air or more water before bursting? A student purchased a large bag of 12-inch balloons. He randomly selected 10 balloons from the bag and then randomly assigned half of them to be filled with air until bursting and the other half to be filled with water until bursting. He used devices to measure the amount of air and water was dispensed until the balloons burst. Here are the data
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Let x be the age of a licensed driver in years. Let y be the percentage of all fatal accidents (for a given age) due to failure to yield the right of way. For example, the first data pair states that 5% of all fatal accidents of 37-year-olds are due to failure to yield the right of way. x 37 47 57 67 77 87 10 17 28 44 Complete parts (a) through (e), given Ex = 372, Ey = 112, Ex = 24814, Ey = 3198, Exy = 8254, and r- 0.941. (a) Draw a scatter diagram displaying the data. Graph Layers After you add an object to the graph you use Graph Layers to view and edit its properties. No Solusion WebAssign. Graphing Tool (b) Verify the given sums Ex, Ey, Ex, Ey, Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Ex = Ey = Ex? - Ey? - Exy = (c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) y=
NEED ALL PARTS PLEASE A (continued): null or alternative and what are h0 & ha B. critical values and rejection region (rounded to three decimal places) C. Calculate d and sd D. Find standardized test statistics e. Reject or fail hypothesis
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H.: µ = 47.6 and H, : µ < 47.6 where u = the mean age of teachers at Ravenwood High School. The calculated p-value is 0.023. What conclusion will you make at a = 0.10? O Reject the H. O Fail to reject the H. O Reject the H. O Fail to reject the Ha
Find the maximum of x in the bottom quartile. (Round your answer to four decimal places.) X ~ N(4, 7)
A tank is discharging water through an orifice at a depth x (m) below the surface of water whose area A (m²). The following are the values of the (corresponding values of (A) w.r.t (x 1.5 1.8 1.95 2.10 2.25 2.4 2.55 2.7 2.85 x (m) 1.65 A (m) 1.25 1.39 1.52 1.65 1.81 1.96 2.12 2.65 2.83 2.29 2.46 :Using the following formula 3.0 A dx T = 1.5 Calculate (T) for the level of water to drop from 1.5 m to 3 m by .Simpson's 1/3 rule 3.
Find the mean and standard deviation for each uniform continuous model.(Round "Mean" answers to 1 decimal place and "Standard deviation" answers to 4 decimal places. a. U(3, 13) b. U(90, 190) c. U(3, 99)

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