The following the data (excluded outlier) is collected from Math54 summer session Exams 3. Assume that distribution is normally distributed. sample size 32 mean 64 Sample standard deviation 15.82 population standard deviation 12.5 max 90 Q1 60 Median 69.5 Q3 75
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.
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- Type all your answers except graphing and formulas.
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- Show which
function you use for TI84.Example. invnorm(0.25, 0,1)=-0.67
The following the data (excluded outlier) is collected from Math54 summer session Exams 3. Assume that distribution is
normally distributed .
|
sample size |
32 |
|
mean |
64 |
|
Sample standard deviation |
15.82 |
|
population standard deviation |
12.5 |
|
max |
90 |
|
Q1 |
60 |
|
Median |
69.5 |
|
Q3 |
75 |
Write your Exam4 score and answer the following questions. Your Exam 4 Score: 72
1. Analyze your exam score based on the above table.
2. Assume that distribution is bell-shaped, find the percentage who scored greater than your exam score. Analyzeyourexamscorebasedonthepercentageyoufound.
3. Find 90% confidence interval for the population mean.
(a) Interpret the result.
(b) How do you analyze your exam score from (a)?
4. For math 54 at SMC, the passing rate is 53%. Find the probability that at least 23 students pass your course.
5. If a math department chair says that the average exam 4 score ( entire SMC students) for math 54 is 60/100 pts. Do you believe it? Show your work.
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