-11. Test the clatm that the population means are different. Use level of significance 0.01. sample mean of A measurements from a second population With population standard deviation o,6 had a sample mean (a) Check Requirements: what distribution does the sample test statistic follow? Explain. O The standard normal. We assume that both population distributions are appraximately normal with unknown standard devtations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard devlations. O The Student's t. We assume that both population distributions are approximately normal with known standard devtations. O The standard normal. We assume that both population distributions are approximately normal with known standard devtations. (b) State the hypotheses. (c) Compute x, - X Compute the corresponding sample distribution value. (Test the difference u, -H. Round your answer to two decimal places.) (d) Find the P.value of the sample test statistic. (Round your answer to four decimal places.) (e) Conclude the test. O At the a= 0.01 level, we reject the null hypothests and conclude the data are statistically signifcant. O At the a 0.01 level, we falil to reject the null hypothesis and conclude the data are not statistically significant. At the a0.01 level, we fail to reject the null hypothesis and condlude the data are statistically significant. O At the a 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. (1) Interpret the results. Brtest the nul hypothesis, there is sufficient evidence that there is a difference between the population means. difference between the population means.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
100%
A random sample of n, =
x, = 11. Test the clatm that the population means are different. Use level of significance 0.01.
49 measurements from a population with population standard deviation o, 5 had a sample mean of x, - 8. An Independent random sample of n, = 64 measurements from a second population with population standard deviation o, =6 had a sample mean of
(a) Check Requtrements: what distribution does the sample test statistic follow? Explain.
O The standard normal. We assume that both population distributions are approximately normal with unknown standard devlations.
O The Student's t. We assume that both population distributions are approximately normal with unknown standard devlations.
O The Student's t. We assume that both population distributions are approximately normal with known standard devlations.
O The standard normal. We assume that both population distributions
approximately normal with known standard deviations.
(b) State the hypotheses.
O H, H, = H2i H,: 4, > H2
(c) Compute x, - X2
X- X =
Compute the corresponding sample distribution value. (Test the difference u, -H. Round your answer to two decimal places.)
(d) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
(e) Conclude the test.
O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the oc
0.01 level, we fal to reject the null hypothesis and conclude the data are not statistically significant.
O At the a 0.01 level, we falil to reject the null hypothesis and conclude the data are statistically significant.
O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
(() Interpret the results.
O Reject the null hypothesis, there is sufficient evidence that there is a difference between the population means.
O Fail to reject the null hypothesis, there is sufficient evidence that there is a difference between the population means.
O Fail to reject the null hypothesis, there is Insufficient evidence that there is a difference between the populabon means
O Reject the null hypothesis, there is Insufficlent evidence that there is a difference between the population means.
us 09 0 4:04
Need Help? Read n
Chp
火
->
esc
&
06
Transcribed Image Text:A random sample of n, = x, = 11. Test the clatm that the population means are different. Use level of significance 0.01. 49 measurements from a population with population standard deviation o, 5 had a sample mean of x, - 8. An Independent random sample of n, = 64 measurements from a second population with population standard deviation o, =6 had a sample mean of (a) Check Requtrements: what distribution does the sample test statistic follow? Explain. O The standard normal. We assume that both population distributions are approximately normal with unknown standard devlations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard devlations. O The Student's t. We assume that both population distributions are approximately normal with known standard devlations. O The standard normal. We assume that both population distributions approximately normal with known standard deviations. (b) State the hypotheses. O H, H, = H2i H,: 4, > H2 (c) Compute x, - X2 X- X = Compute the corresponding sample distribution value. (Test the difference u, -H. Round your answer to two decimal places.) (d) Find the P-value of the sample test statistic. (Round your answer to four decimal places.) (e) Conclude the test. O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. O At the oc 0.01 level, we fal to reject the null hypothesis and conclude the data are not statistically significant. O At the a 0.01 level, we falil to reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. (() Interpret the results. O Reject the null hypothesis, there is sufficient evidence that there is a difference between the population means. O Fail to reject the null hypothesis, there is sufficient evidence that there is a difference between the population means. O Fail to reject the null hypothesis, there is Insufficient evidence that there is a difference between the populabon means O Reject the null hypothesis, there is Insufficlent evidence that there is a difference between the population means. us 09 0 4:04 Need Help? Read n Chp 火 -> esc & 06
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman