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Suppose that you roll 2 dice and consider the sum of the two. Let A be the event of throwing odd, B be the event of throwing 4 or less and C be the event of throwing a multiple of 3.a) What is the sample space S and the corresponding probability of each element of S.b) Compute P(A), P(B) and P(C). Which rule do you see?c) Which elements belong to AUB?d) Show that P(AUB) is 11/18.e) Which elements belong to AnB? Calculate P(AnB).f) Calculate P(A|B) by rule F, and then show with Rule E that A and B are not independent.g) Which elements belong to AnC? show that P(AnC) is 1/6.h) Calculate P(A|C) by rule F and then show with Rule E that A and C are independent.
Which test should we use to determine whether the difference between Mesa and Tempe is statistically significant? Why? Should it be one or two-tailed?
A civil service exam is given to 200 job applicants. In recent years, grades have followed a normal distribution with mean 66.5 and variance 100. The grades of the job applicants are distributed as follows:
Computing from a large sample, one finds the 95% confidence interval for 956; to be {6.8, 14.2}. Based on this information alone, determine the 90% confidence interval for 956
Determination of expected value of a random variable. Harrington Health Food stocks 5 loaves of Neutro-Bread. The probability distribution for the sales of Neutro-Bread.
Find the sample mean and sample standard deviation of the amount citizens spend per year. When finding a confidence interval for the true mean spent of ALL citizens, should we use a z-score or a t-score? Why?
What is the probability a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the critical reading part of the test?
What happens to the confidence interval when we go from a 95% confidence level to a 99% confidence level? Is this desirable? When would we want to use a 99% confidence interval?
From the course text and research I am able to create a frequency band with a single number (ie. 10, 20, 30, etc.). However, I am having difficulty creating the band with a number range (ie. $0-$999,999 or $1,000,000-$5,000,000).
A machine is adjusted so that when under control, the amount of sugar filled in a bag is normally distributed with a mean amount of 5 pounds.
Find a 95% confidence interval for the population mean concentration of uric acid in this patients blood. What is the margin of error?
How would your colleagues probably react to such a statement of yours? Is their expected (positive or negative) reaction the local cultural habit in your company or is it a wider position common for people in your country?
The maximum allowable payback and discounted payback statistic for the project are 2 and 2.5 years, respectively. Use the NPV decision rule to evaluate this project; should it be accepted or rejected?
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