Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.3, Problem 3AYU
To test H0: σ = 50 versus H1: σ < 50, a random
- (a) If the sample standard deviation is determined to be s = 47.2, compute the test statistic.
- (b) If the researcher decides to test this hypothesis at the α = 0.05 level of significance, determine the critical value.
- (c) Draw a chi-square distribution and depict the critical region.
- (d) Will the researcher reject the null hypothesis? Why?
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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.
A random sample is selected from a normal population with a mean of μ=50 and a standard deviation of σ=12. After a treatment is administered to the individuals in the sample, the sample mean is found to be M=55.
If the sample consists of n=16 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α =0.05.
If the sample consists of n=36 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α =0.05.
Compare your answers for parts a and b, explain how the size of the sample influences the outcome of a hypothesis test.
A sample of n = 100 scores is selected from a population with μ = 80 with σ = 20. On average, how much error is expected between the sample mean and the population 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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