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The average number of pages in a novel is 326 with a standard deviation of 24

pages. If a sample of 50 novels is randomly chosen, what is the probability that

the average number of pages in these books is between 319 and 331?


Which type of error dangerous


Find margin of error and confidence interval for the population mean µ of the college graduates who have taken the statistics course if average value for sample of 25 objects is 52,620 and sample standard deviation S=10,700 . Use 95% confidence interval. (Use t-distribution)



The probability of women is distributed with the mean of 60kg and standard deviation 5kg. What is the probability that chosen at random

1. Greater than 70

2. Between 61&65

3. Less than 55


Find mean & margin of error if 28.4 < µ < 38.8


1. Org Pvt. Ltd. is considering two mutually exclusive capital investments. The project’s expected net cash flows are as follows:

Expected Cash Flows Year Project A Project B

0 -400 -575

1 95 150

2 110 200

3 118 250

4 125 275

5 140 230

6 150 180

a. If you were told that each project’s cost of capital was 10%, which project should be selected using the NPV criteria? b. What is each project’s IRR? c. What is the regular payback period for these two projects? d. What is the profitability index for each project if the cost of capital is 12%? 


A population consist of the five measurements 2,6,8,3 & 1. How many different samples of size n=2 can be drawn from the population? What is the mean and variance of the sampling distribution of the sample means?

Let X

X be N(5,4)

N(5,4) and P(|X−5|>c)=0.01

P(|X−5|>c)=0.01. Then the value of c

c is most approximately equal to


Suppose that X

X has pdf given by

f(x)={x=1 if 1<x<2

3-x if 2<x<3

0 elsewhere

the MGF of X is


Average Senior High School annual cost of tuition fee for all private schools last year was 46,300 a random sample of costs this year for 45 private schools indicated that the sample mean was 47,800 and a sample standard deviation was 5600 at the 0.10 level of significance, is there sufficient evidence to conclude that the cost has increased?


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