Answered: A book club wants to determine if there…

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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Question

A book club wants to determine if there is a difference in the prices charged by two local bookstores for textbooks.

They sample prices from both companies. Test at a 0.05 level of significance if there is a difference in the prices.

	Store A	Store B
Mean cost	$34.5	$31.5
Sample standard deviation	4	4.5
Sample size	25	24

State the letter of the correct null hypothesis and alternative hypothesis ["", "", "", ""]

A. Ho: μ1= μ2 Ha: μ1 ≠ μ2

B. Ho: μ1>= μ2 Ha: μ1 <= μ2

C. Ho: μ1<= μ2 Ha: μ1 > μ2

D. Ho: μ1= 0 Ha: μ2 ≠ 0

State pooled variance. [select] ( 18.08, 17.34, 849.75) Two decimal places

State the critical value. [select] ( 1.6779, 2.0096, 2.0117) Four decimal places

State the statistical value. [select] ( 1.215, 2.469, 18.08) Three Decimal

State approximate pvalue from the tables. [select] ( 0.20, 0.01-0.02, 0.005 - 0.01)

Decision? [select] ( reject, don't reject)

A book club wants to determine if there is a difference in the prices charged by two local bookstores for textbooks.
They sample prices from both companies. Test at a 0.05 level of significance if there is a difference in the prices.
Mean cost
Sample standard deviation 4
Sample size
25
A. Ho: μ1= μ2
State the letter of the correct null hypothesis and alternative hypothesis [Select]
B. Ho: μ1>= μ2
C. Ho: μ1<= μ2
D. Ho: μ1= 0
Store A Store B
$34.5 $31.5
Ha: μ1 # μ2
Ha: μ1 <= μ2
Ha: μ1 > μ2
Ha: μ2 #0
State pooled variance.
[Select]
State the critical value. [Select]
4.5
24
Decision? [Select]
State the statistical value. [Select]
State approximate pvalue from the tables.
[Select]
Two decimal places
Four decimal places
V Three decimal places

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 + ...

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