# qualitive analysis - statistics

## Project Description:

problem 1
chapter 6 (probability): exercises 6.81
6.81 your favorite team is in the final playoffs. you have assigned a probability of 60% that they will win the championship. past records indicate that when teams win the championship, they win the first game of the series 70% of the time. when they lose the series, they win the first game 25% of the time. the first game is over; your team has lost. what is the probability that they will win the series?

be sure to show your work. submitting only an answer with no calculations or excel output will result in a zero for the problem

problem 2
chapter 10 (introduction to estimation): exercises 10.11
10.11. a. a random sample of 25 was drawn from a normal distribution whose standard deviation is 5. the sample mean is 80. determine the 95% confidence interval estimate of the population mean.
b. repeat part a with a sample size of 100.
c. repeat part a with a sample size of 400.
d. describe what happens to the confidence interval estimate when the sample size increases.

be sure to show your work. submitting only an answer with no calculations or excel output will result in a zero for the problem

problem 3
chapter 11 (introduction to hypothesis testing): exercises 11.52
11.52 a statistics practitioner wants to test the following hypotheses with ? = 20 and n = 100:

a. using α = .10 find the probability of a type ii error when μ = 102.
b. repeat part a with α = .02.
c. describe the effect on ? of decreasing α.

be sure to show your work. submitting only an answer with no calculations or excel output will result in a zero for the problem

problem 4
chapter 12 (inference about a population): exercises 12.74
12.74 spam is of concern to anyone with an e-mail address. several companies offer protection by eliminating spam e-mails as soon as they hit an inbox. to examine one such product, a manager randomly sampled his daily e-mails for 50 days after installing spam software. a total of 374 e-mails was received, of which 3 were spam. use the wilson estimator to estimate with 90% confidence the proportion of spam e-mails that get through.

be sure to show your work. submitting only an answer with no calculations or excel output will result in a zero for the problem
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