EBK STATISTICS
4th Edition
ISBN: 8220102019805
Author: KLINGENBERG
Publisher: YUZU
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Chapter 15.1, Problem 5PB
a.
To determine
Interpret the point estimate.
b.
To determine
Interpret the 95.9% confidence interval.
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3. [15] The joint PDF of RVS X and Y is given by
fx.x(x,y) = {
x) = { c(x +
{
c(x+y³),
0,
0≤x≤ 1,0≤ y ≤1
otherwise
where c is a constant.
(a) Find the value of c.
(b) Find P(0 ≤ X ≤,
Need help please
7. [10] Suppose that Xi, i = 1,..., 5, are independent normal random variables, where
X1, X2 and X3 have the same distribution N(1, 2) and X4 and X5 have the same
distribution N(-1, 1). Let
(a) Find V(X5 - X3).
1
= √(x1 + x2) — — (Xx3 + x4 + X5).
(b) Find the distribution of Y.
(c) Find Cov(X2 - X1, Y).
-
Chapter 15 Solutions
EBK STATISTICS
Ch. 15.1 - Prob. 1PBCh. 15.1 - Prob. 2PBCh. 15.1 - Prob. 3PBCh. 15.1 - Prob. 4PBCh. 15.1 - Prob. 5PBCh. 15.1 - Prob. 6PBCh. 15.1 - Prob. 7PBCh. 15.2 - How long do you tolerate being put on hold?...Ch. 15.2 - Prob. 9PBCh. 15.2 - Prob. 10PB
Ch. 15.2 - Cell phones and reaction times Example 13 in...Ch. 15.2 - Sign lest for GRR scores Consider Example 8, for...Ch. 15.2 - Prob. 13PBCh. 15.2 - More on blood pressure Refer to the previous...Ch. 15.2 - Prob. 15PBCh. 15.2 - Prob. 16PBCh. 15 - Car bumper damage An automobile company compares...Ch. 15 - Comparing more bumpers Refer to the previous...Ch. 15 - Telephone holding times In Exercise 15.8, the...Ch. 15 - Treating alcoholics The nonparametric statistics...Ch. 15 - Comparing tans Examples 1 and 2 compared two...Ch. 15 - Comparing therapies for anorexia The Anorexia data...Ch. 15 - Internet versus cell phones For the countries in...Ch. 15 - Prob. 24CPCh. 15 - GPAs The Georgia Student Survey data file has data...Ch. 15 - Prob. 26CPCh. 15 - Prob. 27CPCh. 15 - Student survey For the FL Student Survey data file...Ch. 15 - Prob. 29CPCh. 15 - Prob. 30CPCh. 15 - Complete the analogy The t test for comparing two...Ch. 15 - Prob. 32CPCh. 15 - True or false For a one-sided significance test...Ch. 15 - Multiple choice Nonparametric statistical methods...Ch. 15 - Prob. 35CPCh. 15 - Prob. 36CPCh. 15 - Prob. 37CP
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- == 4. [10] Let X be a RV. Suppose that E[X(X-1)] = 3 and E(X) = 2. (a) Find E[(4-2X)²]. (b) Find V(-3x+1).arrow_forward2. [15] Let X and Y be two discrete RVs whose joint PMF is given by the following table: y Px,y(x, y) -1 1 3 0 0.1 0.04 0.02 I 2 0.08 0.2 0.06 4 0.06 0.14 0.30 (a) Find P(X ≥ 2, Y < 1). (b) Find P(X ≤Y - 1). (c) Find the marginal PMFs of X and Y. (d) Are X and Y independent? Explain (e) Find E(XY) and Cov(X, Y).arrow_forward32. Consider a normally distributed population with mean μ = 80 and standard deviation σ = 14. a. Construct the centerline and the upper and lower control limits for the chart if samples of size 5 are used. b. Repeat the analysis with samples of size 10. 2080 101 c. Discuss the effect of the sample size on the control limits.arrow_forward
- Consider the following hypothesis test. The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n 1 = 80 n 2 = 70 x 1 = 104 x 2 = 106 σ 1 = 8.4 σ 2 = 7.6 What is the value of the test statistic? If required enter negative values as negative numbers (to 2 decimals). What is the p-value (to 4 decimals)? Use z-table. With = .05, what is your hypothesis testing conclusion?arrow_forwardPeriodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services (2000 Merrill Lynch Client Satisfaction Survey). Higher ratings on the client satisfaction survey indicate better service with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use = .05 and test to see whether the consultant with more experience has the higher population mean service rating. Consultant A Consultant B = 16 = 10 = 6.82 = 6.25 = .64 = .75 State the null and alternative hypotheses.H0: 1 - 2 Ha: 1 - 2 Compute the value of the test statistic (to 2 decimals). What is the p-value?The p-value is What is your conclusion?arrow_forwardA firm paid its first annual dividend yesterday in the amount of $.15 per share. The company plans to double the dividend in each of the next 3 years. Starting in Year 4, the firm plans to pay $1.50 per share indefinitely. What is one share of this stock worth today if the market rate of return on similar securities is 13.8 percent? Multiple Choice $11.79 $8.92 $10.77 $11.02 $10.26arrow_forward
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