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1.  

Solve the problem. Assume that a test will be conducted of the claim that two samples come from populations with the same mean. Assume that the samples are independent and have been randomly selected.

Reject H0 if test statistic > 2.575.
Reject H0 if test statistic < -2.575.
Reject H0 if test statistic < 2.575 and > -2.575.
Reject H0 if test statistic < -2.575 or > 2.575.


2.  

Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent and that they have been randomly selected.

(5.67, 7.91)
(5.85, 7.73)
(5.88, 7.70)
(-7.73, -5.85)


3.  

Solve the problem.

0.6331
0.8413
0.3339
0.1587


4.  

The two data sets are dependent. Find overbar(d) to the nearest tenth.

35.2
211.2
45.8
21.1


5.  

Find sd.

The differences between two sets of dependent data are 0.22 0.4 0.32 0.32 0.3. Round to the nearest hundredth.

0.18
0.03
0.09
0.06


6.  

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is µd = 0. Compute the value of the t test statistic.

0.351
1.052
9.468
3.156


7.  

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis.

Reject H0 if test statistic is greater than -1.895.
Reject H0 if test statistic is greater than -1.895 and less than 1.895.
Reject H0 if test statistic is greater than 1.895.
Reject H0 if test statistic is less than 1.895.


8.  

Construct a confidence interval for µd, the mean of the differences d for the population of paired data. Assume that the population of paired differences is normally distributed.

1.2 < µd < 2.8
-0.1 < µd < 4.1
-0.5 < µd < 4.5
-0.2 < µd < 4.2


9.  

Find the number of successes x suggested by the given statement.

A computer manufacturer randomly selects 2690 of its computers for quality assurance and finds that 2.6% of these computers are found to be defective.

75
73
70
68


10.  

0.391
0.586
0.592
0.195


11.  

Compute the test statistic used to test the null hypothesis that p1 = p2.

Information about movie ticket sales was printed in a movie magazine. Out of fifty PG-rated movies, 38% had ticket sales in excess of $3,000,000. Out of thirty-five R-rated movies, 20% grossed over $3,000,000.

3.545
1.773
2.646
5.127


12.  

Reject H0 if test statistic is greater than -1.28.
Reject H0 if test statistic is less than 1.28.
Reject H0 if test statistic is less than -1.28.
None of the above is correct.


13.  

Find the appropriate p-value to test the null hypothesis, H0: p1 = p2, using a significance level of 0.05.

.4211
.0021
.0512
.0086


14.  

Construct the indicated confidence interval for the difference between population proportions p1 - p2. Assume that the samples are independent and that they have been randomly selected.

In a random sample of 300 women, 50% favored stricter gun control legislation. In a random sample of 200 men, 25% favored stricter gun control legislation. Construct a 98% confidence interval for the difference between the population proportions p1 - p2.

0.152 < p1 - p2 < 0.348
0.168 < p1 - p2 < 0.332
0.141 < p1 - p2 < 0.359
0.164 < p1 - p2 < 0.336

   


© 2000 by Addison Wesley Longman
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