# MATHEMATICS

23-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 155 (µ = 155). The 33 individuals who take Atenolol have an average systolic blood pressure of 145, with a sample standard deviation of 24. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? (Use these numbers only for this question!)
What is the z-value or t-value you obtained (your test statistic)? (numeric value only, including negative sign if required)
__________________________
24-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? Set alpha equal to .01.
The value of your calculated (obtained) test statistic is -16.51. What is your decision?
A- Reject the null hypothesis
B-Fail to reject the null hypothesis
25-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? Set alpha equal to .01.
The best conclusion for this example (based on your answer to Q26) would be:
A-There is no significant difference in systolic blood pressure when comparing people who take Atenolol to the general population of people who do not take Atenolol.
B-There is a significant difference in systolic blood pressure when comparing people who take Atenolol to the general population of people who do not take Atenolol.
C-People taking Atenolol did not experience a significantly lower systolic blood pressure when compared to the general population of people who do not take Atenolol.
D-People taking Atenolol experienced a significantly lower systolic blood pressure when compared to the general population of people who do not take Atenolol.
26-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? Set alpha equal to .01.
Based on whether you rejected or failed to reject the null hypothesis (Q26), and your conclusion in Q27, as a researcher, you would be more concerned with a:
A- Type I statistical error
B-Type II statistical error
27-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 175, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? (Use these data for this question only!)
Calculate the 95% confidence interval
The mean you will use for this calculation is
________________
28-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 165 (µ = 165). The 30 individuals who take Atenolol have an average systolic blood pressure of 147, with a sample standard deviation of 6. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure?
Calculate the 95% confidence interval
What is the new critical value you will use for this calculation?

A +/- 1.699
B +/- 2.045
C +/- 2.457
D +/- 2.462
E – 2.045
29-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 161 (µ = 161). The 30 individuals who take Atenolol have an average systolic blood pressure of 117, with a sample standard deviation of 20. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? (Use these numbers only for this question!)
Calculate the 95% confidence interval
As you know, two values will be required to complete the following equation:

_________ ≤ µ ≤ __________

For this question, what is the value that is below or less than µ?
__________
30-A health care professional wants to determine whether individuals with hypertension who take Atenolol have significantly lower systolic blood pressure than individuals with hypertension who do not take Atenolol. For individuals who have not been prescribed Atenolol, the population systolic blood pressure mean is 173 (µ = 173). The 30 individuals who take Atenolol have an average systolic blood pressure of 164, with a sample standard deviation of 24. On the basis of these data, can the researcher conclude that the Atenolol significantly lowers systolic blood pressure? (Use these numbers only for this question!)
Calculate the 95% confidence interval
As you know, two values will be required to complete the following equation:

_________ ≤ µ ≤ __________

For this question, what is the value that is above or greater than µ?
_________
31-The average time scheduled for a doctor’s visit is 23 minutes with a standard deviation of 6 minutes. A researcher uses a sampling distribution made up of samples of size 362. (Use these numbers for this question only!)
According to the Central Limit Theorem, what is the mean of the sampling distribution of means?
______
32-Which of the following is most likely to increase the calculated value of a t-test?
A Increase the number of subjects
B Decrease the number of subjects
C Repeat with a convenience sample
D Repeat with the same sample
33-As you increase the true distance between the null and alternative hypotheses, the likelihood of rejecting the null hypothesis
A Increases
B Decreases
C Remains the same
34-Keeping everything else the same, if you were to change your alpha level from .01 to .05, the likelihood of rejecting the null hypothesis
A Increases
B Decreases
C Remains the same

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