home / study / math / statistics and probability / statistics and probability questions and answers / 23. construct a 95% confidence interval for data sets a and b. data sets a and b are dependent. ...
Question: 23. Construct a 95% confidence interval for data sets A and B. Data sets A and B are dependent. ...
23. Construct a 95% confidence interval for data sets A and B. Data sets A and B are dependent. Round to the nearest tenth.
A |
:30 |
28 |
47 |
43 |
31 |
||
B |
:28 |
24 |
25 |
35 |
22 |
A.
( − 0.7,18.7)
B.
( − 1.3,9.0)
C.
( − 0.1,12.8)
D.
( − 15.3,15.4)
22. Construct a 95% confidence interval for μ1−μ2. Two samples are randomly selected from normal populations. The sample statistics are given below.
Assume that σ2/1=σ2/2.
n1= 11, n2= 18, x1= 4.8, x2= 5.2, s1= 0.76,s2=0.51
A.
( − 4.152,3.981)
B.
( − 0.883,0.083)
C.
( − 1.762,1.762)
D.
( − 2.762,2.762)
21. Compute the standardized test statistic, X2 , to test the claim σ2=30.1 if n= 12, s2=25.2, and α=0.05.
A.
0.492
B.
12.961
C.
9.209
D.
18.490
20. Find the critical value and rejection region for the type of t-test with level of significance (α and sample size n).
Two-tailed test, α=0.1, n=23
A.t0= −1.717 , t0=1.717 ; t<minus−1.717 , t>1.717
B.t0=−1.714, t0=1.714 ; t<−1.714 , t>1.714
C.t0= −1.321 , t0=1.321 ; t<−1.321, t>1.321
D.t0=1.717; t>1.717
19. Suppose you want to test the claim that μ1>μ2. Two samples are randomly selected from normal populations. The sample statistics are given below. Assume that σ2/1≠σ2/2. At a level of significance of α=0.01 , when should you reject H0 ?
n1= 18, n2= 13, x1=540 , x2=525 , s1= 40, s2=25
A.
Reject H0 if the standardized test statistic is greater than 1.699.
B.Reject H0 if the standardized test statistic is greater than 2.179.
C.Reject H0 if the standardized test statistic is greater than 3.055.
D.Reject H0 if the standardized test statistic is greater than 2.681.
18. Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed.
Claim: μ≠43 ; α= 0.05; σ=2.7
Sample statistics: x=42.1, n=35
A.
Fail to reject H0. There is not enough evidence at the 5% level of significance to support the claim.
B.
Reject H0. There is enough evidence at the 5% level of significance to support the claim.
C.
There is not enough information to decide.
17. Find the critical X2 -values to test the claim σ2=4.3 if n=12 and α=0.05.
A.
3.816, 21.920
B.
4.575, 19.675
C.
3.053, 24.725
D.
2.603, 26.757
23) Correct answer: Option (B)
95% Confidence interval:
-1.281788 < µ1-µ2 < 19.28179
22)Correct answer: Option (B)
95% Confidence interval:
-0.8825882 < µ1-µ2 < 0.0825882
21)Correct answer: Option (C)
20) Correct answer: Option (A.) t0= −1.717 , t0=1.717 ; t<minus−1.717 , t>1.717
18)
Test Statistic, z: (35-43) / (2.7/SQRT(35)) = -1.9720
Critical z: ±1.9600
P-Value: 0.0486
Here p-value < alpha 0.05 and Z value is not lies between Z critical values so reject H0
Correct answer: Reject H0. There is enough evidence at the 5% level of significance to support the claim.
17) Correct answer: (A)
Lower Critical ChiSq: 3.815745
Upper Critical ChiSq: 21.92007
Get Answers For Free
Most questions answered within 1 hours.