Essentials of Statistics Books a la carte Plus NEW MyLab Statistics with Pearson eText - Access Card Package (5th Edition)
5th Edition
ISBN: 9780133892697
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 11.2, Problem 25BB
Testing Goodness-of-Fit with a Normal Distribution Refer to Data Set 1 in Appendix B for the 40 heights of females.
| Height (cm) | Less than 155.410 | 155.410–162.005 | 162.005–168.601 | Greater than 168.601 |
| Frequency |
- a. Enter the observed frequencies in the table above.
- b. Assuming a normal distribution with
mean and standard deviation given by the sample mean and standard deviation, use the methods of Chapter 6 to find theprobability of a randomly selected height belonging to each class. - c. Using the probabilities found in part (b), find the expected frequency for each category.
- d. Use a 0.01 significance level to test the claim that the heights were randomly selected from a
normally distributed population. Does the goodness-of-fit test suggest that the data are from a normally distributed population?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
2. Which of the following statements are (not) true?
lim sup{An U Bn}
818
lim sup{A, B}
818
lim inf{An U Bn}
818
818
lim inf{A, B}
An
An A, Bn-
A, BnB
→B
=
=
=
lim sup A, U lim sup Bn;
818
818
lim sup A, lim sup Bn;
818
81U
lim inf A, U lim inf Bn;
818
818
lim inf A, lim inf Bn;
n→X
818
An U BRAUB
as no;
An OBRANB as n→∞.
Throughout, A, B, (An, n≥ 1), and (Bn, n≥ 1) are subsets of 2.
1. Show that
AAB (ANB) U (BA) = (AUB) (AB),
Α' Δ Β = Α Δ Β,
{A₁ U A2} A {B₁ U B2) C (A1 A B₁}U{A2 A B2).
16. Show that, if X and Y are independent random variables, such that E|X|< ∞,
and B is an arbitrary Borel set, then
EXI{Y B} = EX P(YE B).
Chapter 11 Solutions
Essentials of Statistics Books a la carte Plus NEW MyLab Statistics with Pearson eText - Access Card Package (5th Edition)
Ch. 11.2 - Prob. 1BSCCh. 11.2 - Prob. 2BSCCh. 11.2 - Prob. 3BSCCh. 11.2 - Prob. 4BSCCh. 11.2 - Prob. 5BSCCh. 11.2 - Prob. 6BSCCh. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - Prob. 9BSCCh. 11.2 - In Exercises 5-20, conduct the hypothesis test and...
Ch. 11.2 - Prob. 11BSCCh. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - Prob. 13BSCCh. 11.2 - Prob. 14BSCCh. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - Prob. 17BSCCh. 11.2 - American Idol Contestants on the TV show American...Ch. 11.2 - In Exercises 5-20, conduct the hypothesis test and...Ch. 11.2 - Prob. 20BSCCh. 11.2 - Prob. 21BSCCh. 11.2 - Prob. 22BSCCh. 11.2 - Benfords Law. According to Benfords law, a variety...Ch. 11.2 - Prob. 24BSCCh. 11.2 - Testing Goodness-of-Fit with a Normal Distribution...Ch. 11.3 - Smoking Cessation The accompanying table...Ch. 11.3 - Prob. 2BSCCh. 11.3 - Degrees of Freedom and Critical Value For the...Ch. 11.3 - Prob. 4BSCCh. 11.3 - Prob. 5BSCCh. 11.3 - Prob. 6BSCCh. 11.3 - Prob. 7BSCCh. 11.3 - Prob. 8BSCCh. 11.3 - In Exercises 5-18, test the given claim. 9. Is...Ch. 11.3 - Prob. 10BSCCh. 11.3 - In Exercises 5-18, test the given claim. 11....Ch. 11.3 - Prob. 12BSCCh. 11.3 - Soccer Strategy In soccer, serious fouls in the...Ch. 11.3 - Prob. 14BSCCh. 11.3 - Prob. 15BSCCh. 11.3 - In Exercises 5-18, test the given claim. 16....Ch. 11.3 - Prob. 17BSCCh. 11.3 - Prob. 18BSCCh. 11.3 - Prob. 19BSCCh. 11.3 - Prob. 20BSCCh. 11.3 - Prob. 21BBCh. 11.3 - Using Yatess Correction for Continuity The...Ch. 11.4 - In Exercises 1-4, use the following listed chest...Ch. 11.4 - Prob. 2BSCCh. 11.4 - In Exercises 1-4, use the following listed chest...Ch. 11.4 - Prob. 4BSCCh. 11.4 - In Exercises 516, use analysis of variance for the...Ch. 11.4 - In Exercises 516, use analysis of variance for the...Ch. 11.4 - Highway Fuel Consumption Data Set 14 in Appendix B...Ch. 11.4 - City Fuel Consumption Data Set 14 in Appendix B...Ch. 11.4 - Head Injury Crash Test Data Exercises 14 use chest...Ch. 11.4 - Pelvis Injury Crash Test Data Exercises 14 use...Ch. 11.4 - Prob. 11BSCCh. 11.4 - Prob. 12BSCCh. 11.4 - Prob. 13BSCCh. 11.4 - Prob. 14BSCCh. 11.4 - Prob. 15BSCCh. 11.4 - Prob. 16BSCCh. 11.4 - Tukey Test A display of the Bonferroni test...Ch. 11 - Prob. 1CQQCh. 11 - Prob. 2CQQCh. 11 - Questions 1-5 refer to the sample data in the...Ch. 11 - Prob. 4CQQCh. 11 - Prob. 5CQQCh. 11 - Prob. 6CQQCh. 11 - Prob. 7CQQCh. 11 - Prob. 8CQQCh. 11 - Prob. 9CQQCh. 11 - Questions 6-10 refer to the sample data in the...Ch. 11 - Auto Fatalities The table below lists auto...Ch. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Home Field Advantage Winning-team data were...Ch. 11 - Prob. 7RECh. 11 - Prob. 1CRECh. 11 - Prob. 2CRECh. 11 - ICU Patients Listed below are the ages of randomly...Ch. 11 - Prob. 4CRECh. 11 - Boats and Manatees The table below lists the...Ch. 11 - Forward Grip Reach and Ergonomics When designing...Ch. 11 - Honesty Is the Best Policy In a USA Today survey...Ch. 11 - Probability and Honesty Based on the sample...Ch. 11 - Use Statdisk, Minitab, Excel, StatCrunch, a...Ch. 11 - Prob. 1FDD
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Proposition 1.1 Suppose that X1, X2,... are random variables. The following quantities are random variables: (a) max{X1, X2) and min(X1, X2); (b) sup, Xn and inf, Xn; (c) lim sup∞ X and lim inf∞ Xn- (d) If Xn(w) converges for (almost) every w as n→ ∞, then lim- random variable. → Xn is aarrow_forwardExercise 4.2 Prove that, if A and B are independent, then so are A and B, Ac and B, and A and B.arrow_forward8. Show that, if {Xn, n ≥ 1) are independent random variables, then sup X A) < ∞ for some A.arrow_forward
- 8- 6. Show that, for any random variable, X, and a > 0, 8 心 P(xarrow_forward15. This problem extends Problem 20.6. Let X, Y be random variables with finite mean. Show that 00 (P(X ≤ x ≤ Y) - P(X ≤ x ≤ X))dx = E Y — E X.arrow_forward(b) Define a simple random variable. Provide an example.arrow_forward17. (a) Define the distribution of a random variable X. (b) Define the distribution function of a random variable X. (c) State the properties of a distribution function. (d) Explain the difference between the distribution and the distribution function of X.arrow_forward16. (a) Show that IA(w) is a random variable if and only if A E Farrow_forward15. Let 2 {1, 2,..., 6} and Fo({1, 2, 3, 4), (3, 4, 5, 6}). (a) Is the function X (w) = 21(3, 4) (w)+711.2,5,6) (w) a random variable? Explain. (b) Provide a function from 2 to R that is not a random variable with respect to (N, F). (c) Write the distribution of X. (d) Write and plot the distribution function of X.arrow_forward20. Define the o-field R2. Explain its relation to the o-field R.arrow_forward7. Show that An → A as n→∞ I{An} - → I{A} as n→ ∞.arrow_forward7. (a) Show that if A,, is an increasing sequence of measurable sets with limit A = Un An, then P(A) is an increasing sequence converging to P(A). (b) Repeat the same for a decreasing sequence. (c) Show that the following inequalities hold: P (lim inf An) lim inf P(A) ≤ lim sup P(A) ≤ P(lim sup A). (d) Using the above inequalities, show that if A, A, then P(A) + P(A).arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Statistics 4.1 Introduction to Inferential Statistics; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=QLo4TEvBvK4;License: Standard YouTube License, CC-BY