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If P1B2 = 0.15, P1AB2 = 0.50, P1B′2 = 0.85, and
P1AB′2 = 0.60, find P1BA2.
A top graduate business school is interested in the starting salaries of their MBA graduates. A survey consisting of all the graduates from previous year was done and the results displayed in the table below:
n = 175 Mean=11,500 Median= 8,700 Std. Error=144
(a) Determine the value of standard deviation?
(b) Explain what is meant by Sampling Distribution of the Mean in the context of MBA graduates’ starting salaries?
(c) What type of distribution will the Sampling Distribution of the Mean for MBA graduates’ starting salaries follow? Give reasons for your answer.
(d) What are the available point estimator and estimate of the population mean starting salary ?
(e) Which of these estimators in ‘Part (c)’ above is unbiased? Give reasons for your answer?
(f) ) Identify an available point estimate for the population variance?
- The blood groups of 200 people are distributed as follows: 40 have type A blood, 75 have type B blood, 60 have type O blood, and 25 have type AB blood. If a person from any of the group is selected at random, what is the probability that this person has an O blood type? How about the AB blood type?
- 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?
According to a factory employer, the mean working time of workers in the factory is 6 hours with a standard
deviation of 0.5 hours. A researcher interviewed 50% of the employees and found out that their mean working
time is 8 hours with a standard deviation of 1 hour. The 𝛼 level is 0.05.
Instruction: Use the seven-step method to solve the following.
In a vegetables nursery, the caretaker thinks that the lengths
of seedlings in a box sprayed with a new kind of fertilization
has an average height of 16cm after three days and a
standard deviation of 5cm. One researcher randomly selected
60 such seedlings and calculated the mean height to be 12cm
and standard deviation was 5cm. Will you conduct a onetailed test or two tailed test. Proceed with the test using
α=0.05..
The scores for a mathematics course seem to be normally distributed with mean 70 & standard deviation of 8. If the instructor wishes to give an A grade to 10% of the students, what should be the dividing line between an A grade and a B grade?
The scores for a mathematics course seem to be normally distributed with mean 70 & standard deviation of 8. If the instructor wishes to give an A grade to 10% of the students, what should be the dividing line between an A grade and a B grade?
Compute the z1 value when 𝑥̅= 27 and z2 value when 𝑥̅= 31.
The random variable Y = LogX has N(12,6) distribution. Find (a) The pdf of X (b) Mean and variance of X (c) P ( X ≤ 1000
