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The professional organization for private colleges and universities

professors reported that more than 17% of professors attended a

national convention in the past year. To test this claim, a researcher

surveyed 200 professors and found that 45 has attended a national

convention in the past year. At α = 0.05, test the claim that this figure

is correct using p -value method.


One of the undersecretary of the Department of Labor and

Employment (DOLE) claims that the average salary of civil engineer

is Php18,000. A sample of 19 civil engineer’s salary has a mean of

Php17,350 and a standard deviation of Php1,230. Is there enough

evidence to reject the undersecretary’s claim at α = 0.01?


Assume the random variable X can take values of -1, 0, 1, 2. The probabilities are 1/2c 3/4c 5/8c 2/16c. As a result, the constant c =

X is a normally distributed random variable with a mean of 60 and standard 

deviation of 8. Find the probabilities indicated by using the table.

(a) P(X < 52)

(b) P(48 < X < 64)

(c) P(X > 57)


X is a normally distributed random variable with a mean of 60 and standard






deviation of 8. Find the probabilities indicated by using the table.






(a) P(X < 52)






(b) P(48 < X < 64)






(c) P(X > 57)

Consider the set of even single-digit number {0, 2, 4, 6, 8}.




· Make a list of all possible sample size of 2 that can be taken from this sets of numbers (with replacement)




· Construct the sampling distribution of the sample means for the size of 3 and the standard error.

Find out median for the following data

x: 10,15,18,23,27,30,31 f

20,30,40,50,60,70



Consider the population consisting of values

3, 5, and 7.


a. List all the possible samples of size 2 that can be drawn from the population with replacement in the table below.


b. Find the mean of the sampling distribution of means.

c. Find the variance of the sampling distribution of the means


d. Find the standard deviation of the means



Consider the population consisting of values

3, 5, and 7.


List all the possible samples of size 2 that


can be drawn from the population with


replacement in the table below.


b. Find the mean of the sampling distribution


of means.


c. Find the variance of the sampling


distribution of the means


d. Find the standard deviation of the means


'Bhartdarshan' is an Internet-based travel agency wherein customers can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.


a. What is the probability of getting more than 12,000 hits ?



b. What is the probability of getting fewer than 9,000 hits ?


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