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.
If the researcher decides to test this hypothesis at the = 0.05 level of significance, determine the critical value. The critical value are=_ and=_. Round to three decimal places as needed.
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)
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- An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value for the given sample size and test statistic. Also determine if the null hypothesis would be rejected at α = 0.05. (a) n=11,T =1.91arrow_forwardTo test Ho: o = 2.1 versus H,:0> 2.1, a random sample of size n = 25 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to bes = 2.3, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a = 0.10 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis? (a) The test statistic is x = 28.79. (Round to two decimal places as needed.) (b) The P-value is 0.228 . (Round to three decimal places as needed.) (c) Since the P-value is than the level of significance, the researcher V reject the null hypothesis Ho:o = 2.1.arrow_forwardA random sample of size 25 taken from a normally distributed population whose standard deviation is 15. What is margin of error for αα = 0.07 ?arrow_forward
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