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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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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- 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 = 1.7 versus H₁: o>1.7, a random sample of size n = 22 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s = 1.9, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a= 0.01 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis? (a) The test statistic is x = (Round to two decimal places as needed.) n example Get more help. Save ER SANS PENSE) Clear allarrow_forwardTo test Ho: o = 2.4 versus H₁: o>2.4, a random sample of size n=23 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s= 3.3, compute the test statistic. (b) If the researcher. decides to test this hypothesis at the x = 0.05 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis? (a) The test statistic is x² =. A (Round to two decimal places as needed.) Help me solve this View an example Get more help. Clear all Type here to search Bi C a R T O (2 96°F Sunny Final check 4:15 PM E 6/18/2022arrow_forward
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- A random sample of 100 measurements of the resistance of electronic components produced in a period of 1 week was taken. The sample skewness was 0.63 and the sample kurtosis was 3.85. Test the null hypothesis that the population distribution is normal.arrow_forwardTo test Ho: o = 1.6 versus H: 0> 1.6, a random sample of size n = 18 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to bes = 2.2, compute the test statistic. (b) If the researcher decides to test this hypothesis at the a = 0.05 level of significance, use technology to determine the P-value. (c) Will the researcher reject the null hypothesis? (a) The test statistic is x6 (Round to two decimal places as needed.)arrow_forwardIf 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.arrow_forward
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