blood pressure. To test the drug, a sample of 15 patients is recruited to take the drug Their SBP are reduced by an average of 28.3 millimeters, with a standard deviation of 12.0 millimeters. In addition, another sample of 20 patients takes a standard drug. Th blood pressure in this group are reduced by an average of 17.1 millimeters with a standard deviation of 9.0 millimeters. Assume that blood pressure reductions are approximately normally distributed with equal variances. Test the new drug is better than the standard drug. Use the a = 0.05. (a) Но: (b) На: (c) Test Statistic:
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![9. [20 pts] A drug company has developed a new drug that is designed to reduce high
blood pressure. To test the drug, a sample of 15 patients is recruited to take the drug.
Their SBP are reduced by an average of 28.3 millimeters, with a standard deviation of
12.0 millimeters. In addition, another sample of 20 patients takes a standard drug. The
blood pressure in this group are reduced by an average of 17.1 millimeters with a
standard deviation of 9.0 millimeters. Assume that blood pressure reductions are
approximately normally distributed with equal variances. Test the new drug is better
than the standard drug. Use the a =
0.05.
(a) Họ:
(b) Hạ:
(c) Test Statistic:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c958132-b595-40a1-9101-55bf74d54482%2Fe9d0a271-3483-40e9-b0ba-e5d13a647806%2Fq69f2e_processed.jpeg&w=3840&q=75)
Given Information:
New drug:
Sample size () = 15
Sample mean () = 28.3
Sample standard deviation () = 12.0
Standard drug:
Sample size () = 20
Sample mean () = 17.1
Sample standard deviation () = 9.0
Significance level
State the hypothesis as follows:
Null Hypothesis:
Alternative Hypothesis: i.e., new drug is better than standard drug.
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