Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.3, Problem 7AYU
To test H0: σ = 4.3 versus H1: σ ≠ 4.3, a random
- (a) If the sample standard deviation is determined to be s = 4.8, compute the test statistic.
- (b) If the researcher decides to test this hypothesis at the α = 0.05 level of significance, determine the critical values.
- (c) Draw a chi-square distribution and depict the critical regions.
- (d) Will the researcher reject the null hypothesis? Why?
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Students have asked these similar questions
Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right.
Assuming equal variances, conduct the test Ho: (uy - H2) = 0 against Ha: (H1 - H2) #0 using a = 0.10.
Sample 1 Sample 2
n, = 17
n2 = 13
%3D
x, = 5.3 x, = 7.6
S, = 3.9
S2 = 4.7
...
Find the test statistic.
The test statistic is
(Round to two decimal places as needed.)
Find the p-value.
The p-value is
(Round to three decimal places as needed.)
State the conclusion. Choose the correct answer below.
O A. Do not reject Ho. There is insufficient evidence that the means differ.
O B. Do not reject Ho. There is sufficient evidence that the means differ.
O C. Reject Ho. There is sufficient evidence that the means differ.
O D. Reject Ho. There is insufficient evidence that the means differ.
In a lake pollution study, the concentration of lead in the upper sedimentary layer of a lake bottom is
measured from 25 sediment samples. The sample mean and the standard deviation of the measurements
are found to be 0.38 and 0.06, respectively. Suppose
Ho : u = 0.34
H1: u# 0.34
(a) State Type I and Type Il errors.
(b) Conduct a hypothesis test at 0.01 level of significance by doing the seven-step classical approach.
(please show all seven steps, formulas, calculations and the curve)
A sample of n = 49 scores with M = 43 is selected from a population with µ = 40 with σ = 21. What is the standard error for the sample mean?
Chapter B.3 Solutions
Fundamentals of Statistics (5th Edition)
Ch. B.3 - (a) Determine the critical value for a...Ch. B.3 - (a) Determine the critical value for a...Ch. B.3 - To test H0: = 50 versus H1: 50, a random sample...Ch. B.3 - Prob. 4AYUCh. B.3 - Prob. 5AYUCh. B.3 - To test H0: = 0.35 versus H1: 0.35, a random...Ch. B.3 - To test H0: = 4.3 versus H1: 4.3, a random...Ch. B.3 - Prob. 8AYUCh. B.3 - NW 9. Mutual Fund Risk One measure of the risk of...Ch. B.3 - Prob. 10AYU
Ch. B.3 - Pump Design The piston diameter of a certain hand...Ch. B.3 - Prob. 12AYUCh. B.3 - Prob. 13AYUCh. B.3 - Prob. 14AYUCh. B.3 - An Inconsistent Player Sports announcers often...Ch. B.3 - Prob. 16AYUCh. B.3 - Heights of Baseball Players Data obtained from the...Ch. B.3 - NCAA Softball NCAA rules require the circumference...
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