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QUESTION 2 The table below contains the level of carboxyhemoglobin (in %) from two independent randomly selected groups of subjects, a group of non-smokers and

QUESTION 2

The table below contains the level of carboxyhemoglobin (in %) from two independent randomly selected groups of subjects, a group of non-smokers and a group of smokers. At 5% level of significance, we want totest to see if the mean carboxyhemoglobin level of the smokers is significantly different from the mean of the nonsmokers.

Data: (Carboxyhemoglogin (%))

Non-smokers: 1.13, 3.70, 1.45, 4.11, 2.91, 0.91

Smokers: 5.33, 3.58, 4.69, 2.77, 4.54, 6.49

Which of the following statements is correct p-value for this test? (Perform the test assuming there is no significant difference in the variances of the two sampled populations.)

A.

0.8966

B.

0.00892

C.

0.01785

D.

0.01792

QUESTION 6

A team of researchers is investigating a drug for reducing systolic blood pressure. A group of 6 subjects was selected in this study. The systolic blood pressures were measured before and after the treatment with this drug and are listed the table above. This team wishes to test "whether there is a statistically significant reduction in blood pressure after the use of the drug treatment". Which of the following conclusions is(are) correct using a t-test?

Subject ID 1 2 3 4 5 6
Before 144 152 155 149 151 148
After 143 152 148 145 144 147

A.

The null hypothesis is that there is no statistically significant reduction in blood pressure after the use of the drug treatment.

B.

The alternative hypothesis is that there is statistically significant increase in blood pressure after the use of the drug treatment.

C.

The null hypothesis is that there is statistically significant reduction in blood pressure after the use of the drug treatment.

D.

The alternative hypothesis is that there is no statistically significant reduction in blood pressure after the use of the drug treatment.

QUESTION 7

A team of researchers is investigating a drug for reducing systolic blood pressure. A group of 6 subjects was selected in this study. The systolic blood pressures were measured before and after the treatment with this drug and are listed below. This team wishes to test whether there is a statistically significant reduction in blood pressure after the use of the drug treatment. If the assumption of normality is accepted, which of the following conclusions is(are) correct using a t-test?

Subject ID 1 2 3 4 5 6
Before 144 152 155 149 151 148
After 143 152 148 145 144 147

A.

The p-value of the test is .048.

B.

The p-value of the test is .096.

C.

The p-value of the test is .024.

D.

The p-value of the test is .012.

QUESTION 10

A team of researchers is investigating a drug for reducing systolic blood pressure. Three groups each has 6 subjects were selected in this study. Group A is the control group. The treatment was used for group B. A fixed increased amount of doses were used on group C. The systolic blood pressures were measured for all groups and are listed above. This team wishes to test whether there is a statistically significant difference in average systolic blood pressures between the three groups. If the assumption of normality and equal variances is accepted, which of the following conclusions is correct from the multiple comparisons t-test using Bonferroni correction at 5% level of significance? (Check all correct answers. There is more than one correct answers.)

Group A 144 152 155 149 151 148
Group B 143 152 148 145 144 147
Group C 140 144 140 138 135 139

A.

There is statistically significant difference between groups A and C.

B.

There is no statistically significant difference between groups B and C.

C.

There is no statistically significant difference between groups A and B.

D.

There is statistically significant difference between groups A and B.

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