Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter B.3, Problem 4AYU
a.
To determine
To compute: The test statistic.
b.
To determine
To find: The critical value for 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 solutionStudents have asked these similar questions
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?
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 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.
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
- 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)arrow_forwardA simple random sample of size n=15 is drawn from a population that is normally distributed. The sample mean is found to be x=26.9 and the sample standard deviation is found to be s=6.3. Determine if the population mean is different from 25 at the α=0.01 level of significance. Calculate the P-Value.arrow_forwardAn 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_forward
- 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?arrow_forwardI was working on the question: 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 = 0.01. (a)n=26,T =2.485 (b) n=18,T =0.5 However, I am very confused and cannot find a detailed, step-by-step solution that doesn't involve the use of excel functions. Thank you so much!arrow_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_forward
- To 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_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_forwardA random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 285. This test result prompts a state school administrator to declare that the mean score for thestate's eighth graders on this exam is more than 280. Assume that the population standard deviation is 38. At α=0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).arrow_forward
- To test Ho: o = 4.6 versus H, : 0 4.6, a random sample of size n= 11 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s = 5.5, 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 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_forwardConsider a paint-drying situation in which drying time for a test specimen is normally distributed with o = 7. The hypotheses Ho: u = 74 and Ha: u < 74 are to be tested using a random sample of n = 25 observations. (a) How many standard deviations (of X) below the null value is x = 72.3? (Round your answer to two decimal places.) standard deviations (b) If x = 72.3, what is the conclusion using a = 0.003? Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean drying time is less than 74. o Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 74. Reject the null hypothesis. There is not sufficient evidence to conclude that the mean drying time is less than 74. Reject the null…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