1.For which confidence interval for the difference in the means 12, would you re
ID: 3129646 • Letter: 1
Question
1.For which confidence interval for the difference in the means 12,
would you reject the null hypothesis?
A.
(minus1.968,1.561)
B.
(minus2.001,minus1.873)
C.
(minus1.673,1.892)
D.
(minus2.209,0.209)
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2.Find the standardized test statistic t for a sample with n=20, x=7.8 s=2.0, x=0.05 if Ha: < 8.2.
Round your answer to two decimal places.
A.
minus1.23
B.
minus0.89
C.
minus0.87
D.
minus1.27
3. Find the critical value for a left-tailed test with =0.05 and n=48.
A.
minus1.645
B.
minus2.575
C.
minus2.33
D.
minus1.96
4. A researcher claims that 55% of voters favor gun control. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.
A.
two-tailed
B.
right-tailed
C.
left-tailed
5. Find the critical value and rejection region for the type of t-test with level of significance and sample size n. Right-tailed test, =0.01, n=32
A.
t0=2.453; t>2.453
B.
t0=1.309; t>1.309
C.
t0=2.449; t>2.449
D.t0=2.453; t<2.453
6. Find the standardized test statistic to test the claim that 1>2. Two samples are randomly selected from each population. The sample statistics are given below.
n1=100, n2=125, x1=650, x2=635, 1=45, 2=25
A.
2.99
B.
0.91
C.
1.86
D.
2.81
7. Given H0: p0.45, for which confidence interval should you reject H0?
A.
(0.32,0.40)
B.
(0.40,0.50)
C.
(0.42,0.47)
9. Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).
The test statistic in a left-tailed test is z=1.83.
A.
0.0336; reject the null hypothesis
B.
0.0672; reject the null hypothesis
C.
0.0672; fail to reject the null hypothesis
D.
0.9664; fail to reject the null hypothesis
24. Construct a 90% confidence interval for 1-2. Two samples are randomly selected from normal populations. The sample statistics are given below. Assume that 2/1=2/2.
n1=10, n2=12, x1=25, x2=23, s1=1.5, s2=1.9
A.
(1.335,3.012)
B.
(1.413,3.124)
C.
(0.721,3.279)
D.
(1.554,3.651)
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Explanation / Answer
1.
We reject Ho when the confidence interval is entirely positive or entirely negative.
hence,
OPTION B: (2.001, 1.873) [ANSWER]
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2.
Formulating the null and alternative hypotheses,
Ho: u >= 8.2
Ha: u < 8.2
As we can see, this is a left tailed test.
Getting the test statistic, as
X = sample mean = 7.8
uo = hypothesized mean = 8.2
n = sample size = 20
s = standard deviation = 2
Thus, t = (X - uo) * sqrt(n) / s = -0.89 [ANSWER, B]
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