An experiment was performed to compare the mean lengths of time required for bodily absorption of type A, B, C and D medicines. The lengths of time in minutes for the drugs to reach a specified level in the blood were recorded. The drug composition of four different types of medicines is assumed to be normal with equal variances. The following is an incomplete ANOVA table. Source of Variation df SS MS F Treatment 3. 10.21 Error 8.46 1.41 Total 18.67
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.
![An experiment was performed to compare the mean lengths of time required for bodily
absorption of type A, B, C and D medicines. The lengths of time in minutes for the drugs to
reach a specified level in the blood were recorded. The drug composition of four different
types of medicines is assumed to be normal with equal variances. The following is an
incomplete ANOVA table.
Source of Variation
df
SS
MS
Treatment
3
10.21
8.46
Error
Total
1.41
18.67
(i)
Determine the value of R, S and T in the ANOVA table.
At a 5% significant level, can we conclude that the mean lengths of time required for
bodily absorption of the four different types of medicines is different? Explain your
(ii)
answers.
(ii)
Given the sample mean and sample size of type A and type B medicines are
ž = 21.6, n = 3 and ž2 = 20.2, n, = 3, respectively. Construct a 99%
confidence interval for the difference in the mean lengths of time required for bodily
absorption of the type A and type B medicines. Could there be a significant
difference in the mean lengths of time required for bodily absorption for the two
medicines? Justify your answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F886c080a-d443-437c-a374-0c0b53c31992%2F7a8300ec-dc67-4972-9c07-b44303872994%2Fywb8oy_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 4 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)