Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter B.3, Problem 8AYU
a.
To determine
To compute: The test statistic.
b.
To determine
To find: The critical valuefor the given test at
c.
To determine
To draw: The chi-square distribution.
To depict: The critical region.
d.
To determine
To claim: The rejection of null hypothesis.
To find: The reason.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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)
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.
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 =1.91
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- To 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_forwardA 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?arrow_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
- To 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 be s = 2.1, 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 x6 (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. 2 parts remaining Clear All Check Answerarrow_forwardA simple random sample of size n=14 is obtained from a population with μ=67 and σ=19. Assuming the normal model can be used, determine P(x<71.2) ?arrow_forwardA 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_forward
- To 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_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
- Consider a hypothesis test with H 0: μ = 20 vs H 1: μ ≠ 20) at α = 0.05 on mean of a Normal population with unknown variance. If the sample variance is 4 and the true mean is 18.5, then the sample size required to obtain a power of test at least 80% is close to 15 using an appropriate OC curve. True Falsearrow_forwardTo test Ho: o = 4.1 versus H,: 0 # 4.1, a random sample of size n = 14 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s = 5.9, 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 = 26.92. (Round to two decimal places as needed.) (b) The P-value is (Round to three decimal places as needed.)arrow_forwardA random sample of 10 observations from population A has sample mean of 152.3 and a sample standard deviation of 1.83. Another random sample of 8 observations from population B has a sample standard deviation of 1.94. Assuming equal variances in those two populations, a 99% confidence interval for μA − μB is (-0.19, 4.99), where μA is the mean in population A and μB is the mean in population B. (a) What is the sample mean of the observations from population B? (b) If we test H0 : μA ≤ μB against Ha : μA > μB, using α = 0.02, what is your conclusion?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
F- Test or F- statistic (F- Test of Equality of Variance); Author: Prof. Arvind Kumar Sing;https://www.youtube.com/watch?v=PdUt7InTyc8;License: Standard Youtube License
Statistics 101: F-ratio Test for Two Equal Variances; Author: Brandon Foltz;https://www.youtube.com/watch?v=UWQO4gX7-lE;License: Standard YouTube License, CC-BY
Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY
Understanding the Levene's Test for Equality of Variances in SPSS; Author: Dr. Todd Grande;https://www.youtube.com/watch?v=udJr8V2P8Xo;License: Standard Youtube License