EBK STATISTICAL TECHNIQUES IN BUSINESS
17th Edition
ISBN: 9781259924163
Author: Lind
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 10, Problem 16E
Given the following hypotheses:
A random sample of six resulted in the following values: 118, 105, 112, 119, 105, and 1 1 1. Assume a normal population. Using the .05 significance level, can we conclude the
- a. State the decision rule.
- b. Compute the value of the test statistic.
- c. What is your decision regarding the null hypothesis?
- d. Estimate the p-value.
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(a+b)
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state without proof the uniqueness theorm
of probability function suppose thatPandQ
are probability measures defined on the
same probability space (Q, F)and that
Fis generated by a π-system if P(A)=Q(A)
tax for all A EthenP=Q i. e. P(A)=Q(A) for alla g
// معدلة 2:23 ص
6. Show that
1{AU B} = max{1{A}, I{B}} = I{A} + I{B} - I{A} I{B};
I{AB} = min{I{A}, I{B}} = I{A} I{B};
I{A A B} = I{A} + I{B}-21{A} I {B} = (I{A} - I{B})².
Theorem 3.5 Suppose that P and Q are probability measures defined on the same
probability space (2, F), and that F is generated by a л-system A. If P(A) = Q(A)
for all A = A, then P = Q, i.e., P(A) = Q(A) for all A = F.
Chapter 10 Solutions
EBK STATISTICAL TECHNIQUES IN BUSINESS
Ch. 10 - Heinz, a manufacturer of ketchup, uses a...Ch. 10 - Prob. 2SRCh. 10 - For Exercises 14, answer the questions: (a) Is...Ch. 10 - Prob. 2ECh. 10 - Prob. 3ECh. 10 - For Exercises 14, answer the questions: (a) Is...Ch. 10 - For Exercises 58: (a) State the null hypothesis...Ch. 10 - For Exercises 58: (a) State the null hypothesis...Ch. 10 - For Exercises 58: (a) State the null hypothesis...Ch. 10 - For Exercises 58: (a) State the null hypothesis...
Ch. 10 - The mean life of a battery used in a digital clock...Ch. 10 - Given the following hypotheses: H0:10H1:10 A...Ch. 10 - Given the following hypotheses: H0:=400H1:400 A...Ch. 10 - The Rocky Mountain district sales manager of Rath...Ch. 10 - The management of White Industries is considering...Ch. 10 - Prob. 13ECh. 10 - Most air travelers now use e-tickets. Electronic...Ch. 10 - A machine is set to fill a small bottle with 9.0...Ch. 10 - Given the following hypotheses: H0:20H1:20 A...Ch. 10 - Given the following hypotheses: H0:=100H1:100 A...Ch. 10 - The amount of water consumed each day by a healthy...Ch. 10 - The liquid chlorine added to swimming pools to...Ch. 10 - A Washington, D.C., think tank announces the...Ch. 10 - Hugger Polls contends that an agent conducts a...Ch. 10 - Prob. 5SRCh. 10 - Refer to Table 104 and the example just completed....Ch. 10 - Prob. 22ECh. 10 - Prob. 23ECh. 10 - Prob. 24ECh. 10 - According to the local union president, the mean...Ch. 10 - Rutter Nursery Company packages its pine bark...Ch. 10 - A new weight-watching company, Weight Reducers...Ch. 10 - Dole Pineapple Inc. is concerned that the 16-ounce...Ch. 10 - According to a recent survey, Americans get a mean...Ch. 10 - A statewide real estate sales agency, Farm...Ch. 10 - According to the Census Bureau, 3.13 people reside...Ch. 10 - A recent article in Vitality magazine reported...Ch. 10 - Prob. 33CECh. 10 - Prob. 34CECh. 10 - A recent study revealed the typical American...Ch. 10 - The postanesthesia care area (recovery room) at...Ch. 10 - www.golfsmith.com receives an average of 6.5...Ch. 10 - During recent seasons, Major League Baseball has...Ch. 10 - Watch Corporation of Switzerland claims that its...Ch. 10 - Listed below is the annual rate of return...Ch. 10 - Many grocery stores and large retailers such as...Ch. 10 - For a recent year, the mean fare to fly from...Ch. 10 - The publisher of Celebrity Living claims that the...Ch. 10 - A United Nations report shows the mean family...Ch. 10 - Prob. 45CECh. 10 - The American Water Works Association reports that...Ch. 10 - A cola-dispensing machine is set to dispense 9.00...Ch. 10 - The owners of the Westfield Mall wished to study...Ch. 10 - The following null and alternate hypotheses are...Ch. 10 - An insurance company, based on past experience,...Ch. 10 - A national grocers magazine reports the typical...Ch. 10 - Prob. 52DACh. 10 - Refer to the Lincolnville School District bus...
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- 6. Show that, for any random variable, X, and a > 0, Lo P(x -00 P(x < xarrow_forward5. Suppose that X is an integer valued random variable, and let mЄ N. Show that 8 11118 P(narrow_forward食食假 6. Show that I(AUB) = max{1{A}, I{B}} = I{A} + I{B} - I{A} I{B}; I(AB)= min{I{A}, I{B}} = I{A} I{B}; I{A A B} = I{A} + I{B}-21{A} I{B} = (I{A} - I{B})². -arrow_forward11. Suppose that the events (An, n ≥ 1) are independent. Show that the inclusion- exclusion formula reduces to P(UAL)-1-(1-P(Ak)). k=1 k=1arrow_forward8. Show that, if {Xn, n≥ 1} are independent random variables, then sup X,, A) < ∞ for some A.arrow_forward20. Define the o-field R2. Explain its relation to the o-field R.arrow_forward11. (a) Define the (mathematical and conceptual) definition of conditional probability P(A|B).arrow_forward12. (a) Explain tail events and the tail o-field. Give an example.arrow_forwardLet A, A1, A2,... be measurable sets. Then P(A)=1- P(A); • P(Ø) = 0; P(A1 UA2) ≤ P(A1) + P(A2); A1 C A2 P(A1) P(A2); P(UA) + P(n=14) = 1. Exercise 3.1 Prove these relations. ☐arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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