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A group of 8 students in your class having the weight of 50, 52, 53, 54, 56, 57, 58, and 60.

1.Calculate the standard deviation of the sampling distribution of the sample means. Compare this to the standard deviation of the population. 


Project costs Rs 180,000 and is expected to generate cash inflows as:


Year Cash Inflow ( Rs )

1 20000

2 24000

3 30000

4 36000

5 40000


a. Discuss the characteristics of long term capital budgeting decisions

b. calculate the Net Present Value of the project if the cost of capital is 12% and conclude.


For a business firm leverage is about the fixed operating cost and the fixed finance costs in the cost structure of the firm. For the given details, identify for which firm the degree of operating leverage and degree of financial leverage are higher and why so:


Firms Amrit Baayu

Sales (Rs.) 360000 750000

Variable cost p.u 20 150

Fixed cost (Rs.) 72000 140000

Output (units) 6000 1500

Interest 40000 80000


A tree if less than three feet high and when transplanted has a 40% chance of survival. If six such trees are transplanted, what is the probability that at most four five will not survive?


f(t)= 1+0.12t, compute f(t) if t=2.


A job placement director claims that the average starting salary for nurses is P12,000. A sample of 10 nurses has a mean of P11,750 and a standard deviation of 200. Is there enough evidence to reject the director’s claim at alpha = 0.05

A job placement director claims that the average starting salary for nurses is P12,000. A sample of 10 nurses has a mean of P11,750 and a standard deviation of 200. Is there enough evidence to reject the director’s claim at alpha = 0.05


EA Sports have asked you (an analyst) to find out the mean and standard deviation of the number of minutes people take to complete level 1 of their new game using the below information: The number of minutes people spend playing level 1 follows a normal distribution The probability of player playing for less than 5 minutes is 0.0045 The probability of someone taking less than 15 minutes to complete level 1 is 0.9641



It is assumed that the number of claims arriving at an insurance company per working day has a mean of 40 and a standard deviation of 12. A survey was conducted over 50 working days. Find the probability that the sample mean number of claims arriving per working day was less than 35.


Pune university receives 1,500 applications annually from prospective students. The application form contains a variety of information including the individuals aptitude score. The mean score and standard deviation of all the 1,500 applicants is 990 and 80 respectively. What is the probability that a simple random sample of 50 applicants will provide an estimate of the population mean aptitude score that is within +-10 of the actual population mean?


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