What is the standard deviation of the price-to-earnings ratio

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

1.  An appliance store has outlets in several cities in Punjab. The general sales manager plans to air a commercial for a digital camera on selected local TV stations prior to a sale starting on Saturday and ending Sunday. She plans to get information for Saturday-Sunday camera sales at various outlets and pair them with a number of times the advertisement was shown on the local TV stations. The purpose is to find whether there is any relationship between a number of times the advertisement was aired and the camera sales.

Complete working will get full marks

Location of  TV station	Number of Airings	Saturday-Sunday Sales (Rs. thousands)
Lahore	8	35
Faisalabad	2	8
Multan	5	21
Rawalpindi	7	24
Sialkot	3	17

1. What is the dependent variable?
2. Determine the coefficient of correlation.
3. Determine the least-squares regression line?

2. The LSE entrance tests scores are based on a normal distribution with a mean of 1500 and a standard deviation of 300. LSE offers merit-based scholarship to students who score in the top 15 percent of this test. What is the minimum score that qualifies for the scholarship?   

3 . Dottie’s Tax Service specializes in federal tax returns for professional clients, such as physicians, dentists, accountants, and lawyers. A recent audit by the IRS of the returns she prepared indicated that an error was made on 7 percent of the returns she prepared last year. Assuming this rate continues into this year and she prepares 80 returns, what is the probability that she makes errors on:

a.       More than six returns?

b.      At least six returns?

c.       Exactly six returns? 

4. A financial advising company has determined that the price-to-earnings ratios for 20 randomly selected publicly traded companies range between 0.8 and 2.8. Given that the price-to-earnings ratios are uniformly distributed, answer the following questions. 

a.       What is the average price-to-earnings ratio?

b.      What is the standard deviation of the price-to-earnings ratio? 

c.       What percent of price-to-earnings ratios are equal to 2.58?

d.      What percent of price-to-earnings ratios are between 1.89 and 2.50?

e.       What percent of price-to-earnings ratios are between 1.30 and 2.45?

f.       What percent of price-to-earnings ratios are less than 0.8?

g.      What percent of price-to-earnings ratios are between .8 and 2.8?

h.      What is the probability that a price-to-earnings ratio is less than 2.2?

i.        What is the 3rd quartile of the distribution?

j.        75% of all price-to-earnings ratios are greater than

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