Assume that both populations are normally distributed. (a) Test whether μ1≠μ2 at the α=0.01 level of...

Question

Question

Assume that both populations are normally distributed. (a) Test whether μ1≠μ2 at the α=0.01 level of...

Assume that both populations are normally distributed.

(a) Test whether μ1≠μ2 at the α=0.01 level of significance for the given sample data.

(b) Construct a 9999% confidence interval about 1−μ2.

	Population 1	Population 2
n	10	10
x overbarx	10.1	8.9
s	2.4	2.3

(a) Test whether μ1≠μ2 at the α=0.01 level of significance for the given sample data. Determine the null and alternative hypothesis for this test.

Detemine the P-value for this hypothesis test. P=________. (Round to three decimal places as needed.)

Should the null hypothesis be rejected?

A. Reject Upper H 0Reject H0, there is not sufficient evidence to conclude that the two populations have different means.

B.Do not reject Upper H 0Do not reject H0, there is not sufficient evidence to conclude that the two populations have different means.

C.Do not reject Upper H 0Do not reject H0, there is sufficient evidence to conclude that the two populations have different means.

D.Reject Upper H 0Reject H0, there is sufficient evidence to conclude that the two populations have different means.

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Add a comment

Answer 2

Answer #1

Add a comment

Answer 3

Similar Homework Help Questions

Assume that both populations are normally distributed

Assume that both populations are normally distributed(a) Test whether μ1 ≠ μ2 at the α=0.05 level of significance for the given sample data(b) Construct a 95 % confidence interval about μ1-μ2.(a) Test whether μ1 ≠ P2 at the α=0.05 level of significance for the given sample data. Determine the null and alternative hypothesis for this test.Determine the P-value for this hypothesis test.P=_______ (Round to threes decimal places as needed.)Should the null hypothesis be rejected?A. Reject H0, there is not sufficient...
Use the given statistics to complete parts (a) and (b). Assume that the populations are normally...

Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. Population 1 Population 2 n 26 16 x 49.8 40.1 s 6.8 13.2 (a) Test whether μ1 > μ2 at the α = 0.01 level of significance for the given sample data. (b) Construct a 90% confidence interval about μ1 − μ2 . (a) Identify the null and alternative hypotheses for this test. A. H0 : μ1 ≠...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...

Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 80 n2 = 70 x1 = 104 x2 = 106 σ1 = 8.4 σ2 = 7.2 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.)...

In order to compare the means of two populations, independent random samples of 400 observations are...

In order to compare the means of two populations, independent random samples of 400 observations are selected from each population, with the results found in the table to the right. Complete parts a through e below. Sample 1 overbar x = 5,305 s1= 154 Sample 2 overbar x = 5,266 s2 = 199 a. Use a 95% confidence interval to estimate the difference between the population means (mu 1 - mu 2). Interpret the confidence interval. The confidence interval is...
Sample 2 11 n X Assume that both populations are normally distributed a) Test whether ,...

Sample 2 11 n X Assume that both populations are normally distributed a) Test whether , at the = 0.01 level of significance for the given sample data b) Construct a 50% confidence interval about 4-12 Sample 1 19 5078 21 11.9 Click the icon to view the Student distribution table a) Perform a hypothesis test. Determine the null and alternative hypotheses O A HOM > B. Hy: H2 OB HM, H, H2 + C Họ P = H1 H1...
Assume that both populations are normally distributed.

Assume that both populations are normally distributed.a) Test whether μ1 ≠ μ2 at the α=0.01 level of significance for the given sample data.b) Construct a 99 % confidence interval about μ1-μ2.Click the icon to view the Student t-distribution table.a) Perform a hypothesis test. Determine the null and alternative hypotheses.

i beed help with part b. thanks! Assume that both populations are normally distributed (a) Test...

i beed help with part b. thanks! Assume that both populations are normally distributed (a) Test whether u, #2 at the a 0.01 level of Population 1 13 Population 2 13 16.1 12.6 significance for the given sample data (b) Construct a 99% confidence interval about 1 2 X 3.5 4.6 different means B. Do not reject Ho, there is not sufficient evidence to conclude that the two populations have different means. C Do not reject Ho. there is sufficient...
You wish to test the following claim (H1H1) at a significance level of α=0.05α=0.05. Ho:μ1=μ2Ho:μ1=μ2 H1:μ1≠μ2H1:μ1≠μ2...

You wish to test the following claim (H1H1) at a significance level of α=0.05α=0.05. Ho:μ1=μ2Ho:μ1=μ2 H1:μ1≠μ2H1:μ1≠μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you have reason to believe that the variances of the two populations are equal. You obtain a sample of size n1=12n1=12 with a mean of M1=83.9M1=83.9 and a standard deviation of SD1=20.7SD1=20.7 from the first population. You obtain a sample of size n2=12n2=12 with a mean...
Use the given statistics to complete parts (a) and (b). Assume that the populations are normally...

Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether mu 1 μ1 greater than > mu 2 μ2 at the α = 0.01 level of significance for the given sample data. (b) Construct a 90% confidence interval about μ1 − μ2. (a) Identify the null and alternative hypotheses for this test. A. H0: μ1=μ2 H1: μ1≠ μ2 B. H0: μ1=μ2 H1: μ1<μ2 C. H0: μ1=μ2 H1: μ1>μ2 Your...

a) State the null and alternative hypotheses. Which of the following is correct? A. H0: μ1=μ2;...

a) State the null and alternative hypotheses. Which of the following is correct? A. H0: μ1=μ2; Ha: μ1<μ2 This is the correct answer. B. H0: μ1=μ2; Ha: μ1≠μ2 C. H0: μ1=μ2; Ha: μ1>μ2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was α=_____ What is the P-value? P-value=____ State the researcher's conclusion. Which of the following is correct? A. Fail to reject H0,there is sufficient evidence to conclude that the mean step pulse of...

Assume that both populations are normally distributed. (a) Test whether μ1≠μ2 at the α=0.01 level of...

Homework Answers

Add Answer to:
Assume that both populations are normally distributed. (a) Test whether μ1≠μ2 at the α=0.01 level of...

Post as a guest

Earn Coins