Test the claim about the difference between two population means u, and u, at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: , =2; a = 0.01 Population statistics: o, = 3.3, o2 = 1.5 Sample statistics: X, = 18, n, = 30, x2 = 20, n2 = 29 Determine the alternative hypothesis. H2 Determine the standardized test statistic. (Round to two decimal places as needed.) Determine the P-value. P-value = (Round to three decimal places as needed.) What is the proper decision? the 19/ lo Lof cignifeanee to roinet the olaim

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Test the claim about the difference between two population means u, and H, at the level of significance a., Assume the samples are random and independent, and the populations are normally distributed.
Claim: u, =µ2; a = 0.01
Population statistics: o, = 3.3, o2 = 1.5
Sample statistics: x, = 18, n, = 30, X2 = 20, n2 = 29
Determine the alternative hypothesis.
Ha: H1
Determine the standardized test statistic.
(Round to two decimal places as needed.)
z=
Determine the P-value.
P-value = (Round to three decimal places as needed.)
What is the proper decision?
OA Enil tn rminnt U
Thore in onouah idene at the 10. louel of eianifinannn to reinnt the alaim
(?
Transcribed Image Text:Question HHelp Test the claim about the difference between two population means u, and H, at the level of significance a., Assume the samples are random and independent, and the populations are normally distributed. Claim: u, =µ2; a = 0.01 Population statistics: o, = 3.3, o2 = 1.5 Sample statistics: x, = 18, n, = 30, X2 = 20, n2 = 29 Determine the alternative hypothesis. Ha: H1 Determine the standardized test statistic. (Round to two decimal places as needed.) z= Determine the P-value. P-value = (Round to three decimal places as needed.) What is the proper decision? OA Enil tn rminnt U Thore in onouah idene at the 10. louel of eianifinannn to reinnt the alaim (?
Question Help ▼
Test the claim about the difference between two population means u, and u, at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed.
Claim: µ, = µ2; a = 0.01
Population statistics: 0, =3.3, o2 = 1.5
Sample statistics: x, = 18, n, = 30, x2 = 20, n2 = 29
Determine the P-value.
P-value = (Round to three decimal places as needed.)
What is the proper decision?
O A. Fail to reject H. There is enough evidence at the 1% level of significance to reject the claim.
O B. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim.
O C. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claim.
O D. Reject H. There is enough evidence at the 1% level of significance to reject the claim.
Click to select vour answer(s).
Transcribed Image Text:Question Help ▼ Test the claim about the difference between two population means u, and u, at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: µ, = µ2; a = 0.01 Population statistics: 0, =3.3, o2 = 1.5 Sample statistics: x, = 18, n, = 30, x2 = 20, n2 = 29 Determine the P-value. P-value = (Round to three decimal places as needed.) What is the proper decision? O A. Fail to reject H. There is enough evidence at the 1% level of significance to reject the claim. O B. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. O C. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. O D. Reject H. There is enough evidence at the 1% level of significance to reject the claim. Click to select vour answer(s).
Expert Solution
Given:

x¯1=18,x¯2=20n1=30,n2=29σ1=3.3,σ2=1.5α=0.01

Hypothesis testing:

Null Hypothesis:H0:μ1=μ2Alternative Hypothesis:Ha:μ1μ2

Test statistic:

z=x¯1-x¯2σ12n1+σ22n2 =18-203.3230+1.5229z=-3.01Statistics homework question answer, step 3, image 1

 

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