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3. A division wide aptitude test in Mathematics was conducted to 3 800 students. The mean of the test is 58 and the standard deviation is 14.
a. What is the score that divides the distribution into two such that 80% of the cases is below it.
b. What are the scores that bounds the middle 90% of the distribution.
c. How many scores are between 60 and 96?
d. How many students belong to the top 12% of the examinees?
A. State whether the z- scores locates the raw score X within a sample or within a population. B. From Exercise A, state whether each raw score(X) lies below or above the mean (Compute the z- value). C. From Exercise B, find the corresponding area and draw the standard normal curve.
Currently, all of SMO operations are carried out on two separate production lines, one driven by a new PC machine and the other by a relatively older machine. Recent monitoring of each machine show that the probability of failure in the new one is 0.3 % and in the old one is 0.7%. Given that the quality assurance department insists on a probability of 99.999% that at least one machine is working at all times, advise SMO if this condition is being satisfied.
Draw flow charts to this questions.
Exercise 1.
- Input two numbers to find the highest number and then display it.
Exercise 2.
- Modify the Exercise 1 to find the both highest and the lowest to display them.
Exercise 3.
- Input the session code and display the appropriate season as follows:
- Season code-Season-1-Autumn
- 2-Winter
- 3-Spring
- 4-Summer
The two important parameters that best describe the normal curve are the ____ and the _________
The grade of students are normally distributed with mean of 75 and the standard deviation of 5.
a) How many percent of student took the grade between 70 and 80?
b) How many percent of student took the grade between 65 and 85?
c) How many percent of student took the grade between 60 and 90?
d) How many percent of student took the grade less than 70?
e) How many percent of student took the grade between 60 and 80?
f) How many percent of student took the grade greater than 90?
g) How many percent of student took the grade between 65 and 75?
h) How many percent of student took the grade between 70 and 85?
The weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation of 10 kg. A truck used to transport goats can only accommodate not more than 650 kg. If 10 goats are selected at random from the population, what is the probability that the total weight exceeds the maximum weight?
The personnel manager of a firm wants to compare the job satisfaction level of the
employees among the firm’s Finance, Purchase and Sales departments. A battery of
questions are administered to randomly selected employees from each of the three
departments resulting in the following job satisfaction level scores:
Finance: 14, 12, 13, 12, 11 Purchase: 18, 19, 20, 18, 16 Sales: 10, 12, 17, 11, 13
A population consists of three numbers (3,6,9).Consider all possible samples of size n=2 which can be drawn WITHOUT REPLACEMENT from the population.
Questions to be answered:
Population mean
Population variance
Population standard deviation
Mean of the sampling distribution of the means
Variance of the sampling distributionof the means
Standard deviation of the sampling distribution of the means
mathematics written work are normally distributed with a mean of 23 and standard deviation of 9. describe the sampling distribution of 15 students who are normally from this population
