U.S. population Statistic Assingment Help With Solution

1. The lower bound of the 95% confidence interval is
a. 182.04
b. 176.97
c. 175.87
d. 189.59

2. The upper bound of the 95% confidence interval is
a. 189.59
b. 183.42
c. 188.49
d. 176.97
Suppose we know the true average blood pressure of women ages 21-30 is 190 mg/dL in the general
U.S. population. Using the sample information provided in questions 1 and 2, test the hypothesis that
the new drug significantly lowers the blood pressure of women ages 21-30.

3. What are H0 and HA? (2 pts)
a. H0: µ = 182.73 mg/dL; HA: µ ≠ 182.73 mg/dL
b. H0: µ = 190 mg/dL; HA: µ ≠ 190 mg/dL
c. H0: µ = 182.73 mg/dL; HA: µ < 182.73 mg/dL
d. H0: µ = 190 mg/dL; HA: µ p0; HA: p p0; HA: p = p0
d. H0: p = p0; HA: p > p0

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11. What is the critical value? Round to 4 decimal points.
a. Z = -1.96
b. Z = 1.96
c. Z = 1.645
d. Z = -1.645

12. What is the test statistic? Round final answer to 2 decimal points.
a. 1.07
b. 10.37
c. -1.07
d. -10.37

13. Is there a significant difference in the proportion of positive tuberculin skin tests among the
intravenous drug users and the general population?
a. Reject H0 in favor of HA as the test statistic is less than the critical value.
b. Reject H0 in favor of HA as the test statistic is greater than the critical value.
c. Fail to reject H0 in favor of HA as the test statistic is less than the critical value.
d. Fail to reject H0 in favor of HA as the test statistic is greater than the critical value

14. What is the p-value of the test statistic calculated in question 10? Round to 4 decimal places.
a. 0.1423
b. 0.8577
c. 0.9999
d. 0.0001
Blood-pressure measurements taken on the left and right arms of a person are assumed to be
comparable. To test this assumption, 10 volunteers area obtained and systolic blood-pressure readings
are taken simultaneously on both arms by the same observer. Note that 𝑋̅
𝑑 = 𝑑̅= 2.4 and ∑(𝑑𝑖 −
𝑑̅)

= 654 and use these values as shortcuts to calculating the pooled standard deviation.
Patient Right Arm SBP
(Group 1)
Left Arm SBP
(Group 2)
Patient Right Arm SBP
(Group 1)
Left Arm SBP
(Group 2)
1 125 131 6 110 97
2 121 124 7 123 127
3 140 148 8 135 138
4 101 119 9 141 142
5 104 99 10 159 158
Use the paired t-test with a significance level of 5% to test whether the left arm reading is significantly
different than the right arm reading. For easier calculation, define Left Arm SBP as Group 2 and Right
Arm SBP as Group 1. Round all intermediate calculations to 4 decimal places.
4

15. What are the null and alternative hypotheses?
a. H0: The SBP of the left and right arm are equivalent (d = 0)
HA: The SBP of the left arm is higher than the SBP of the right arm (d > 0)
b. H0: The SBP of the left arm is higher than the SBP of the right arm (d > 0)
HA: The SBP of the left and right arm are equivalent (d = 0)
c. H0: The SBP of the left arm is higher than the SBP of the right arm (d > 0)
HA: The SBP of the left arm is lower than the SBP of the right arm (d 10 oz/week alcohol consumption. The results for the
SBP measurements for women 30-39 years of age are given below.
Group Mean var n
A. No Alcohol Use 105.3 10.6 24
B. ≤ 10 oz/week alcohol consumption 110.4 13.4 22
C. > 10 oz/week alcohol consumption 122.5 12.5 10
Conduct a two sample independent t-test to determine if women OC users ages 30-39 that consume >
10 oz/week of alcohol (define as Group 1) have a significantly higher SBP than women who consumed
no alcohol (define as Group 2) with an alpha level of 0.05. The pooled standard deviation s is 3.34.
5

19. What are the null and alternative hypotheses?
a. H0: μ1= μ2; HA: μ1 > μ2
b. H0: μ1 μ2
c. H0: μ1 > μ2; HA: μ1 = μ2
d. H0: μ1 = μ2; HA: μ1 10 oz/week of alcohol have significantly greater SBP than those who
do not consume any alcohol?
a. Fail to reject H0 because the test statistic is greater than the critical value.
b. Fail to reject H0 because the test statistic is less than the critical value.
c. Reject H0 in favor of HA because the test statistic is greater than the critical value.
d. Reject H0 in favor of HA because the test statistic is less than the critical value.

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