, lOMoARcPSD|18998289
4
STA1502
OCT/NOV 2023
QUESTION 1
Consider the following summary statistics of two different samples that were drawn from two normal populations.
Sample 1 Sample 2
Sample mean 4.6 3.5
Population
1.2 1.5
variance
Sample size 12 14
A researcher wants to test whether the two population means differ at the 5% level of significance.
The 끫뢺-value for the test is
1. 0.0156
2. 0.0078
3. 0.9922
4. 0.0192
5. 0.0384
QUESTION 2
Consider the following summary statistics of two different samples that were drawn from two normal populations.
Sample 1 Sample 2
Sample mean 4.6 3.5
Population
1.2 1.5
variance
Sample size 12 14
The 95% confidence interval for the difference between two population means is
1. (0.2197; 1.2990)
2. (0.2079; 1.9921)
3. (1.1; 0.892)
4. (0.3087; 1.8952)
5. (0.2679; 1.9831)
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, lOMoARcPSD|18998289
5
STA1502
OCT/NOV 2023
QUESTION 3
Consider the following summary statistics resulted of two independent samples that were drawn from two normal
populations:
Sample 1 Sample 2
Sample mean 17 12
Sample variance 4.5 4.8
Sample size 15 9
Assume that the two population variances are equal. The analyst wants to test whether the two population
means are differ at 5% level of significance.
The test statistic for the test is
1. 6.5962
2. 5.2563
3. 5.5236
4. 4.6091
5. 0.9052
QUESTION 4
Consider the following summary statistics resulted from two independent samples that were drawn from two
normal populations:
Sample 1 Sample 2
Sample mean 17 12
Sample variance 4.5 4.8
Sample size 15 9
The 95% confidence interval for the difference between two population means is
1. (3.0122; 6,0761)
2. (3.2258; 6.7742)
3. (3.7741; 7.8226)
4. (3.1226; 6.8774)
5. (3.262; 6.8774)
Downloaded by Syokstech ()
, lOMoARcPSD|18998289
6
STA1502
OCT/NOV 2023
QUESTION 5
The following table contains information on matched pair samples that were drawn from the same population.
Sample 1 18 12 21 22 16 14 17 18
Sample 2 21 11 23 20 20 17 17 22
Differences -3 1 -2 2 -4 -3 0 -4
Assume that the two samples are dependent and normally distributed.
• The mean of the differences is -1.625.
• The sample standard deviation of the differences is 2.3261.
A researcher wants to test whether the two samples differ at 5% level of significance. The critical value is
1. 2.306
2. 2.998
3. 1.895
4. 1.860
5. 2.365
QUESTION 6
The following table contains information on matched pair samples that were drawn from the same population.
Sample 1 18 12 21 22 16 14 17 18
Sample 2 21 11 23 20 20 17 17 22
Differences -3 1 -2 2 -4 -3 0 -4
Assume that the two samples are dependent and normally distributed.
• The mean of the differences is -1.625.
• The sample standard deviation of the differences is 2.3261.
The 95% confidence interval for the population difference equal to
1. (-3.57; 0.32)
2. (-1.625; 1.945)
3. (-3.798; 0.032)
4. (-3.237; -0.013)
5. (3.373; 3.966)
Downloaded by Syokstech ()
4
STA1502
OCT/NOV 2023
QUESTION 1
Consider the following summary statistics of two different samples that were drawn from two normal populations.
Sample 1 Sample 2
Sample mean 4.6 3.5
Population
1.2 1.5
variance
Sample size 12 14
A researcher wants to test whether the two population means differ at the 5% level of significance.
The 끫뢺-value for the test is
1. 0.0156
2. 0.0078
3. 0.9922
4. 0.0192
5. 0.0384
QUESTION 2
Consider the following summary statistics of two different samples that were drawn from two normal populations.
Sample 1 Sample 2
Sample mean 4.6 3.5
Population
1.2 1.5
variance
Sample size 12 14
The 95% confidence interval for the difference between two population means is
1. (0.2197; 1.2990)
2. (0.2079; 1.9921)
3. (1.1; 0.892)
4. (0.3087; 1.8952)
5. (0.2679; 1.9831)
Downloaded by Syokstech ()
, lOMoARcPSD|18998289
5
STA1502
OCT/NOV 2023
QUESTION 3
Consider the following summary statistics resulted of two independent samples that were drawn from two normal
populations:
Sample 1 Sample 2
Sample mean 17 12
Sample variance 4.5 4.8
Sample size 15 9
Assume that the two population variances are equal. The analyst wants to test whether the two population
means are differ at 5% level of significance.
The test statistic for the test is
1. 6.5962
2. 5.2563
3. 5.5236
4. 4.6091
5. 0.9052
QUESTION 4
Consider the following summary statistics resulted from two independent samples that were drawn from two
normal populations:
Sample 1 Sample 2
Sample mean 17 12
Sample variance 4.5 4.8
Sample size 15 9
The 95% confidence interval for the difference between two population means is
1. (3.0122; 6,0761)
2. (3.2258; 6.7742)
3. (3.7741; 7.8226)
4. (3.1226; 6.8774)
5. (3.262; 6.8774)
Downloaded by Syokstech ()
, lOMoARcPSD|18998289
6
STA1502
OCT/NOV 2023
QUESTION 5
The following table contains information on matched pair samples that were drawn from the same population.
Sample 1 18 12 21 22 16 14 17 18
Sample 2 21 11 23 20 20 17 17 22
Differences -3 1 -2 2 -4 -3 0 -4
Assume that the two samples are dependent and normally distributed.
• The mean of the differences is -1.625.
• The sample standard deviation of the differences is 2.3261.
A researcher wants to test whether the two samples differ at 5% level of significance. The critical value is
1. 2.306
2. 2.998
3. 1.895
4. 1.860
5. 2.365
QUESTION 6
The following table contains information on matched pair samples that were drawn from the same population.
Sample 1 18 12 21 22 16 14 17 18
Sample 2 21 11 23 20 20 17 17 22
Differences -3 1 -2 2 -4 -3 0 -4
Assume that the two samples are dependent and normally distributed.
• The mean of the differences is -1.625.
• The sample standard deviation of the differences is 2.3261.
The 95% confidence interval for the population difference equal to
1. (-3.57; 0.32)
2. (-1.625; 1.945)
3. (-3.798; 0.032)
4. (-3.237; -0.013)
5. (3.373; 3.966)
Downloaded by Syokstech ()
