Question 1

Test the hypothesis that   >   . Two samples are randomly selected from each population. The sample statistics are given below. Use α = 0.01.

Accepted Answer

test statistic ≈ 2.99; 0.001 < P-value < 0.0025; reject   ; There is sufficient evidence to support the hypothesis.

Question 2

Find the test statistic, t, to test the hypothesis that   =   . Two samples are randomly selected and come from populations that are normal. The sample statistics are given below.

Accepted Answer

A)  -0.954 
B)  -0.915 
C)  -0.909 
D)  -1.558 
A)  -0.954 
B)  -0.915 
C)  -0.909 
D)  -1.558 A

Question 3

Data sets A and B are dependent. Find   .   Assume that the paired data came from a population that is normally distributed.

Accepted Answer

A)  1.73 
B)  1.21 
C)  1.89 
D)  1.32 
A)  1.73 
B)  1.21 
C)  1.89 
D)  1.32 A

Question 4

Construct a 95% confidence interval for   -   . The sample statistics listed below are from independent samples.Sample statistics:   = 50,   = 35, and   = 60,   = 40

Accepted Answer

A)  (-0.141, 0.208) 
B)  (-0.871, 0.872) 
C)  (-2.391, 3.112) 
D)  (-1.341, 1.781) 
A)  (-0.141, 0.208) 
B)  (-0.871, 0.872) 
C)  (-2.391, 3.112) 
D)  (-1.341, 1.781)

Question 5

Data sets A and B are dependent. Find   .   Assume that the paired data came from a population that is normally distributed.

Accepted Answer

A)  -0.76 
B)  -0.94 
C)  0.89 
D)  0.58 
A)  -0.76 
B)  -0.94 
C)  0.89 
D)  0.58

Question 6

Perform the appropriate hypothesis test.
-The data represent the measure of a variable before and after a treatment. Does the sample evidence suggest that the treatment is effective in increasing the value of the response variable? Use the α = 0.01 level of significance. Assume that the differenced data come from a population that is normally distributed with no outliers.

Accepted Answer

The answer of Perform the appropriate hypothesis test.
-The data represent...

Question 7

Two surgical procedures are widely used to treat a certain type of cancer. To compare the success rates of the two procedures, random samples of the two types of surgical patients were obtained and the numbers of patients who showed no recurrence of the disease after a 1-year period were recorded. The data are shown in the table. How large a sample would be necessary in order to estimate the difference in the true success rates to within 0.10 with 95% reliability?

Accepted Answer

A)    =   =37 
B)    =   =27 
C)    =   =192 
D)    =   =54 
A)    =   =37 
B)    =   =27 
C)    =   =192 
D)    =   =54

Question 8

Find the test statistic, z, to test the hypothesis that   ?   . Use ? = 0.02. The sample statistics listed below are from independent samples.Sample statistics:   = 1000,   = 250, and   = 1200,   = 195

Accepted Answer

A)  2.798 
B)  4.761 
C)  5.087 
D)  3.212 
A)  2.798 
B)  4.761 
C)  5.087 
D)  3.212

Question 9

Test the hypothesis that   <   . Two samples are randomly selected from normal populations. The sample statistics are given below. Use α = 0.05.

Accepted Answer

test statistic = -2.450; 0.01

Question 10

A researcher wishes to determine whether people with high blood pressure can lower their blood pressure by performing yoga exercises. A treatment group and a control group are selected. The sample statistics are given below. Construct a 90% confidence interval for the difference between the two population means,   Would you recommend using yoga exercises? Explain your reasoning.

Accepted Answer

confidence interval: -23.38 < @#IMG-DLM& - @#IMG-DLM& < -6.6

Question 11

Find the test statistic to test the hypothesis that   <   . Two samples are randomly selected from each population. The sample statistics are given below. Use ? = 0.05.

Accepted Answer

A)  -3.90 
B)  -3.16 
C)  -1.66 
D)  -2.63 
A)  -3.90 
B)  -3.16 
C)  -1.66 
D)  -2.63

Question 12

Test the hypothesis that   ≠   . Use α = 0.02. The sample statistics listed below are from independent samples.Sample statistics:   = 1000,   = 250, and   = 1200,   = 195.

Accepted Answer

test statistic @#IMG-DLM& ≈ 5.09; P-valu

Question 13

The degrees of freedom used when testing two independent samples where the population standard deviation is unknown is

Accepted Answer

A)    +   -2. 
B)    +   -1. 
C)  the larger of   - 1 or   - 1. 
D)  the smaller of   - 1 or   - 1. 
A)    +   -2. 
B)    +   -1. 
C)  the larger of   - 1 or   - 1. 
D)  the smaller of   - 1 or   - 1.

Question 14

Construct a 95% confidence interval for   -   . Two samples are randomly selected from each population. The sample statistics are given below.

Accepted Answer

A)  (1.572, 2.987) 
B)  (1.919, 3.142) 
C)  (1.364, 2.636) 
D)  (1.723, 3.012) 
A)  (1.572, 2.987) 
B)  (1.919, 3.142) 
C)  (1.364, 2.636) 
D)  (1.723, 3.012)

Question 15

Construct a 95% confidence interval for   -   . Two samples are randomly selected from each population. The sample statistics are given below.

Accepted Answer

A)  (-2.001, -1.873) 
B)  (-2.209, 0.209) 
C)  (-1.673, 1.892) 
D)  (-1.968, 1.561) 
A)  (-2.001, -1.873) 
B)  (-2.209, 0.209) 
C)  (-1.673, 1.892) 
D)  (-1.968, 1.561)

Question 16

Find the test statistic to test the hypothesis that   ?   . Two samples are randomly selected from each population. The sample statistics are given below. Use ? = 0.02.

Accepted Answer

A)  -2.32 
B)  -2.97 
C)  -2.12 
D)  -1.82 
A)  -2.32 
B)  -2.97 
C)  -2.12 
D)  -1.82

Question 17

Find the test statistic to test the hypothesis that   >   . Two samples are randomly selected from each population. The sample statistics are given below. Use ? = 0.05.

Accepted Answer

A)  2.81 
B)  1.86 
C)  2.98 
D)  0.91 
A)  2.81 
B)  1.86 
C)  2.98 
D)  0.91

Question 18

Construct a 95% confidence interval for   -   for a survey that finds 30% of 240 males and 41% of 200 females are opposed to the death penalty.

Accepted Answer

A)  (-1.532, 1.342) 
B)  (-0.561, 0.651) 
C)  (-0.200, -0.021) 
D)  (-1.324, 1.512) 
A)  (-1.532, 1.342) 
B)  (-0.561, 0.651) 
C)  (-0.200, -0.021) 
D)  (-1.324, 1.512)

Question 19

Nine students took the SAT. Their scores are listed below. Later on, they read a book on test preparation and retook the SAT. Their new scores are listed below. Test the claim that the book had no effect on their scores. Use α = 0.05. Assume that the distribution is normally distributed.

Accepted Answer

claim: @#IMG-DLM& = 0; test statistic t

Question 20

Construct a 99% confidence interval for data sets A and B. Data sets A and B are dependent.   Assume that the paired data came from a population that is normally distributed.

Accepted Answer

A)  (-25.123, 5.761) 
B)  (-21.342, 18.982) 
C)  (-15.123, 15.123) 
D)  (-4.502, 2.622) 
A)  (-25.123, 5.761) 
B)  (-21.342, 18.982) 
C)  (-15.123, 15.123) 
D)  (-4.502, 2.622)

Test the hypothesis that > . Two samples are randomly selected from each population. The sample statistics are given below. Use α = 0.01.

Find the test statistic, t, to test the hypothesis that = . Two samples are randomly selected and come from populations that are normal. The sample statistics are given below.

Data sets A and B are dependent. Find . Assume that the paired data came from a population that is normally distributed.

Construct a 95% confidence interval for - . The sample statistics listed below are from independent samples.Sample statistics: = 50, = 35, and = 60, = 40

Data sets A and B are dependent. Find . Assume that the paired data came from a population that is normally distributed.

Find the test statistic, z, to test the hypothesis that ? . Use ? = 0.02. The sample statistics listed below are from independent samples.Sample statistics: = 1000, = 250, and = 1200, = 195

Test the hypothesis that < . Two samples are randomly selected from normal populations. The sample statistics are given below. Use α = 0.05.

Find the test statistic to test the hypothesis that < . Two samples are randomly selected from each population. The sample statistics are given below. Use ? = 0.05.

Test the hypothesis that ≠ . Use α = 0.02. The sample statistics listed below are from independent samples.Sample statistics: = 1000, = 250, and = 1200, = 195.

The degrees of freedom used when testing two independent samples where the population standard deviation is unknown is

Construct a 95% confidence interval for - . Two samples are randomly selected from each population. The sample statistics are given below.

Construct a 95% confidence interval for - . Two samples are randomly selected from each population. The sample statistics are given below.

Find the test statistic to test the hypothesis that ? . Two samples are randomly selected from each population. The sample statistics are given below. Use ? = 0.02.

Find the test statistic to test the hypothesis that > . Two samples are randomly selected from each population. The sample statistics are given below. Use ? = 0.05.

Construct a 95% confidence interval for - for a survey that finds 30% of 240 males and 41% of 200 females are opposed to the death penalty.

Nine students took the SAT. Their scores are listed below. Later on, they read a book on test preparation and retook the SAT. Their new scores are listed below. Test the claim that the book had no effect on their scores. Use α = 0.05. Assume that the distribution is normally distributed.

Construct a 99% confidence interval for data sets A and B. Data sets A and B are dependent. Assume that the paired data came from a population that is normally distributed.

Data Collection

Organizing and Summarizing Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distributions

Sampling Distributions

Estimating the Value of a Parameter Using Confidence Intervals

Hypothesis Tests Regarding a Parameter

Inference on Categorical Data

Comparing Three or More Means

Inference of the Least-Squares Regression Model

Filters

Exam 11: Inference on Two Samples

Test the hypothesis that > . Two samples are randomly selected from each population. The sample statistics are given below. Use α = 0.01.

Find the test statistic, t, to test the hypothesis that = . Two samples are randomly selected and come from populations that are normal. The sample statistics are given below.

Data sets A and B are dependent. Find . Assume that the paired data came from a population that is normally distributed.

Construct a 95% confidence interval for - . The sample statistics listed below are from independent samples.Sample statistics: = 50, = 35, and = 60, = 40

Data sets A and B are dependent. Find . Assume that the paired data came from a population that is normally distributed.

Find the test statistic, z, to test the hypothesis that ? . Use ? = 0.02. The sample statistics listed below are from independent samples.Sample statistics: = 1000, = 250, and = 1200, = 195

Test the hypothesis that < . Two samples are randomly selected from normal populations. The sample statistics are given below. Use α = 0.05.

Find the test statistic to test the hypothesis that < . Two samples are randomly selected from each population. The sample statistics are given below. Use ? = 0.05.

Test the hypothesis that ≠ . Use α = 0.02. The sample statistics listed below are from independent samples.Sample statistics: = 1000, = 250, and = 1200, = 195.

The degrees of freedom used when testing two independent samples where the population standard deviation is unknown is

Construct a 95% confidence interval for - . Two samples are randomly selected from each population. The sample statistics are given below.

Construct a 95% confidence interval for - . Two samples are randomly selected from each population. The sample statistics are given below.

Find the test statistic to test the hypothesis that ? . Two samples are randomly selected from each population. The sample statistics are given below. Use ? = 0.02.

Find the test statistic to test the hypothesis that > . Two samples are randomly selected from each population. The sample statistics are given below. Use ? = 0.05.

Construct a 95% confidence interval for - for a survey that finds 30% of 240 males and 41% of 200 females are opposed to the death penalty.

Nine students took the SAT. Their scores are listed below. Later on, they read a book on test preparation and retook the SAT. Their new scores are listed below. Test the claim that the book had no effect on their scores. Use α = 0.05. Assume that the distribution is normally distributed.

Construct a 99% confidence interval for data sets A and B. Data sets A and B are dependent. Assume that the paired data came from a population that is normally distributed.

Data Collection

Organizing and Summarizing Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distributions

Sampling Distributions

Estimating the Value of a Parameter Using Confidence Intervals

Hypothesis Tests Regarding a Parameter

Inference on Categorical Data

Comparing Three or More Means

Inference of the Least-Squares Regression Model

Filters