Essentials of Statistics Plus MyLab Statistics with Pearson eText - Access Card Package (5th Edition)

5th Edition

ISBN: 9780133864960

Author: Mario F. Triola

Publisher: PEARSON

See similar textbooks

Videos

Textbook Question

Chapter 11.4, Problem 1BSC

In Exercises 1-4, use the following listed chest deceleration measurements (in g, where g is the force of gravity) from samples of small, midsize, and large cars. (These values are from Data Set 13 in Appendix B.)Also shown (on the next page) are the SPSS results for analysis of variance. Assume that we plan to use a 0.05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test.

Chest Deceleration Measurements (g) from a Standard Crash Test

Small	44	39	37	54	39	44	42
Midsize	36	53	43	42	52	49	41
Large	32	45	41	38	37	38	33

SPSS

	Sum of Squares	d	Mean Square	F	Ski
Between Groups	200.857	2	100.429	3 283	.06
Within Group	049.714	18	30.540
Total	750.571	20

1. ANOVA

a. What characteristic of the data above indicates that we should use one-way analysis of variance?
b. If the objective is to test the claim that the three size categories have the same mean chest deceleration, why is the method referred to as analysis of variance?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.3, Problem 22BB

Chapter 11.4, Problem 2BSC

Students have asked these similar questions

Two measurements are made of some quantity. For the first measurement, the average is 74.4528, the RMS error is 6.7441, and the uncertainty of the mean is 0.9264. For the second one, the average is 76.8415, the standard deviation is 8.3348, and the uncertainty of the mean is 1.1448. The expected value is exactly 75. 13. Express the first measurement in public notation. 14. Is there a significant difference between the two measurements? 1 15. How does the first measurement compare with the expected value? 16. How does the second measurement compare with the expected value?

A hat contains slips of paper numbered 1 through 6. You draw two slips of paper at random from the hat,without replacing the first slip into the hat.(a) (5 points) Write out the sample space S for this experiment.(b) (5 points) Express the event E : {the sum of the numbers on the slips of paper is 4} as a subset of S.(c) (5 points) Find P(E)(d) (5 points) Let F = {the larger minus the smaller number is 0}. What is P(F )?(e) (5 points) Are E and F disjoint? Why or why not?(f) (5 points) Find P(E ∪ F )

In addition to the in-school milk supplement program, the nurse would like to increase the use of daily vitamin supplements for the children by visiting homes and educating about the merits of vitamins. She believes that currently, about 50% of families with school-age children give the children a daily megavitamin. She would like to increase this to 70%. She plans a two-group study, where one group serves as a control and the other group receives her visits. How many families should she expect to visit to have 80% power of detecting this difference? Assume that drop-out rate is 5%.

Chapter 11 Solutions

Essentials of Statistics Plus MyLab Statistics with Pearson eText - Access Card Package (5th Edition)

Ch. 11.2 - Prob. 1BSC Ch. 11.2 - Prob. 2BSC Ch. 11.2 - Prob. 3BSC Ch. 11.2 - Prob. 4BSC Ch. 11.2 - Prob. 5BSC Ch. 11.2 - Prob. 6BSC Ch. 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. 9BSC Ch. 11.2 - In Exercises 5-20, conduct the hypothesis test and...

Knowledge Booster

$Statistics$

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.

Solution Summary: The author explains that the characteristic of the data indicates the use of one-way analysis of variance.

Videos

Want to see the full answer?

Chapter 11 Solutions