5.5.3 WP Suppose that X and Y have a bivariate normal dis-7.70,0.08,Hy =0.04, y =μx = 3.00,tribution with ox=and p = 0.Determine the following:a. P(2.95 < X < 3.05) b. P(7.60 < Y < 7.80)c. P(2.95 < X < 3.05, 7.60 < Y < 7.80)

Answered: Image /qna-images/answer/4369d0da-7224-45b4-a0db-afc2d14df137.jpg

Answered: 5.5.3 WP Suppose that X and Y have a…

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 corrosive effects of various soils on coated and uncoated steel pipe was tested by using a dependent sampling plan. The data collected are summarized below, where d is the amount of corrosion on the coated portion subtracted from the amount of corrosion on the uncoated portion. Does this random sample provide sufficient reason to conclude that the coating is beneficial? Use a = 0.01 and assume normality. n- 40, Σd- 207, Σα? = 6199 (a) Find t. (Give your answer correct to two decimal places.) (ii) Find the p-value. (Give your answer correct to four decimal places.) (b) State the appropriate conclusion. O Reject the null hypothesis, there is significant evidence that the coating is beneficial. Reject the null hypothesis, there is not significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is not significant evidence that the coating is beneficial.
It is of interest to determine if the average drying time of a certain brand of latex paint is less than 4.5 hours. Which test should be used to answer this? (Relevant output below) Shapiro-Wilk normality test data: drying timew = 0.93572, p-value = 0.33161 Z-test or t-test or Wilcoxon Signed-Rank Test or Chi-Square Test?
The total of the area to the left of zequals=negative 2.31−2.31 and the area to the right of zequals=2.312.31 under the standard normal curve is
6.9 To enter the cumulative normal distribution table Þ(Z), calculate Z and Z at the spec limits. upper lower Þ(2) = 0.9772 and Þ(-2) = 0.0228, the area to the right of the USL plus to the left of the LSL is 0.0456.
Solve this forwards problem by finding the area of the shaded region on the standard normal curve below. -2.12 1.93 Table Areas: and Final Answer: Work:
Find each of the shaded areas under the standard normal curve using a TI-84 calculator. Round the answers to four decimal place: Part 1 of 4 The area of the shaded region is Part 2 of 4 The area of the shaded region is 1. Part 3 of 4 -0.96 Part 4 of 4 -0.35 The area of the shaded region is 0.56 1.56 X X 1.89 2.23 5 5 S
Answer only 4-10 and sketch the normal curve.
P-value=
answer please
Q2: Let X and Y have a bivariate normal distribution with parameters 4, = 2 = 1, of = 16, af = 25 and p = 3. The value of P(-3
Q2: Let X and Y have a bivariate normal distribution with parameters 4, = Hz = 1, af = 16, a 25 and p = %3D 3. The value of P(-3 < X < 3|Y = -4) is A. 0.9162 B. 0.6915 O B C. 0.6077 C
Let the X-values represent the times, in minutes, of preparation for a Statistics test; let the Y-values represent the points earned on the test. Assume that the sample of paired (X, Y) data is a simple random sample of quantitative data and the data have a bivariate normal distribution. Also, the scatterplot shows that the points approximate a straight-line pattern. If the sample has 35 pairs of values with (Zx,Zy,) = 11.41, and if we use a significance level of 0.05, calculate r and determine whether if there is sufficient evidence to support a claim of a linear correlation between X and Y.

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5.5.3 WP Suppose that X and Y have a bivariate normal dis- 3.00, = 7.70, tribution with ox 0.04, y = 0.08, μx = and p = 0. Determine the following: = a. P(2.95 < X < 3.05) b. P(7.60 < Y < 7.80) c. P(2.95 < X < 3.05, 7.60 < Y < 7.80)