Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Question 1 The data for this question are stored in the file A1Q1.xls. This file contains the dividend yield (as a percentage) for 150 companies registered on the Australian Stock Exchange for the year 2005. The sample has been divided into two halves. Column A records the dividend yield for the largest 75 companies in the sample (measured by the value of the shares they have issued) while column B records the dividend yield for the smallest 75 companies in the sample. (a) Use Excel to find the mean and standard deviation for each group of companies. (b) Use Chebyshev's theorem to find the minimum proportion of observations that will lie within 1.5 standard deviations of the mean.
(c) For each group of companies, use Excel to count the number of observations that lie within 1.5 standard deviations of the mean. Convert those numbers to proportions. Are they much larger than what you found in (b)? [Hint: Begin by counting the number of observations greater than x ?1.5s and less than x -1.5s . (d) If the dividend yields are normally distributed (the histogram is bell shaped), approximately 87% of the observations lie within 1.5 standard deviations of the mean. Based on the information in part (c), do you think dividend yields could be normally distributed? (e) Suppose you choose a small company share and a large company share at random. For each share, use the data to estimate the probability that the yield is less than 2%. (f) From the information in (a) and (e), what is the advantage of investing in smaller companies? What is the advantage of investing in larger companies? QUESTION 2 The scores on the final exam in a statistics course have approximately a bell-shaped distribution. The mean score was 63.5 points and the standard deviation was 7.3 points. Suppose Pat, one of the students, had a score that was 2 standard deviations above the mean. What was Pat's approximate score? What can you say about the proportion of students who scored higher than Pat? [You are expected to respond to this question without using Normal distributions tables (or Excel)] QUESTION 3 "MagTek" electronics has developed a smart phone that does things that no other phone yet released into the market-place will do. The marketing department is planning to demonstrate this new phone to a group of potential customers, but is worried about some initial technical problems which have resulted in 0.1% of all phones malfunctioning. The marketing executive is planning on randomly selecting 100 phones for use in the demonstration but is worried because it is very important that every single one functions OK during the demonstration. The executive believes that whether or not any one phone malfunctions is independent of whether or not any other phone malfunctions and is convinced that the probability that any one phone will malfunction is definitely 0.001. Assuming the marketing executive randomly selects 100 phones for use in the demonstration: (a) What is the probability that no phones will malfunction? [If you use any probability distribution/s, you are required justify the requirements for particular distributions are satisfied] ) (b) What is the probability that at most one phone will malfunction?(c) The executive has decided that unless the probability of there being nomal functions is greater than 90%, he will cancel the demonstration. Should he cancel the demonstration or not? Explain your answer.QUESTION 4A Nobel Laureate, hosting a lecture for a large audience, is fed up with people who fail to turn their mobile phones off during such events. Based on numerous past performances he knows that the number of phones receiving calls during the lecture is normally distributed with a mean of 2.5 and a variance of 0.25. Before going onstage he tells his associate that if he hears more than 4 phone calls during tonight's lecture he will stop lecturing forever. (a) What is the probability that tonight's lecture will be his last? [Your answer should demonstrate your understanding of the distribution theory underpinning this question - i.e. avoid merely presenting a final figure based solely on an excel calculation](b) Assume you only knew the average number of phone calls received during the lecture is 2.5. (You did not know the variance and did not know if the number calls received during lecture is normally distributed). Use another distribution that you learnt to calculate the same probability as in(a).
Discuss possible study designs. Which of the designs would we use to test our research hypothesis?
In the past, of all the students enrolled in "Basic Business Statistics" 10% earned A's 20% earned B's, 30% earned C's, 20% earned D's and the rest either failed or withdrew from the course.
If you use a 0.10 level of significance in a two-tail hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean is 500 if you use the Z test?
the amount of unused sick time for individual employees is uniformly distributed between 0 and 480 minutes. Based on this information, what is the probability that an employee will have less than 20 minutes of unused sick time?
Sketch a curve, point out the distribution (i.e., normal , student T, Chi square), critical region(s). test statistics, critical values(s) and n p-value?
(a) What is the relative frequency (i.e., proportion) of observations falling in the 0.260-0.280 interval? (Give your answer to four decimal places.) (b) What is the shape of the data distribution?
I understand how to do a time series graph with one variable versus time in years, but I am not sure how to graph if the time is in months with more than one variable with a scatter plot.
A random sample of 1001 University of California faculty members taken in December 1995 was asked, "Do you favor or oppose using race, religion, sex, color, ethnicity or national origin as a criterion for admission to the University of California?
Trophies are awarded to the two persons receiving the highest and second-highest number of votes. In how many different ways can the trophies be awarded?
The weights (in pounds) of a sample of five boxes being sent by UPS are: 12, 6, 7, 3, and 10.
An insurance company, based on past experience, estimates the mean damage for a natural disaster in its area is $5,000. After introducing several plans to prevent loss
When modelling E(y) with single qualitative independent variable, number of 0 - 1 dummy variables in model is equal to number of levels of qualitative variable.
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd