- What is the difference between the Relative Frequency Approximation of Probability and the Classical Approach to Probability? What happens when a procedure is repeated again and again?

- The probability of a certain event can't be greater than 1 or less than zero. Why not?

- What is a compound event? Describe the difference between P(A or B) and P(A and B)?

- What is a complementary event? What is the sum of the probability of A and the probability of the complement of A?

- What is a random variable and what is a probability distribution? Describe the difference between continuous random variables and discrete random variables? Provide an example of each.

- What are the main parameters of a probability distribution?

- How we can use the mean and the standard deviation to calculate the maximum and minimum significant values?

- Recall the definition of a complementary event, and explain your understanding of a binomial probability distribution.

- What is the formula used to calculate the probability of a single event in binomial probability distribution?

- For binomial distributions, there are 3 very simple formulas used to calculate the mean, variance and standard deviation. List these 3 formulas.

Directions: Once the forum opens on Day 1, you are required to “Start a New Thread” by Day 3. Initial post should be 200-300 words, not counting citations. Remember to cite your sources properly. Label your post with a provocative/descriptive title that invites your

Mr. Brown the CEO of a corporate company wants to know if a new method of rewarding employees influences morale. He gives 12 employees an anonymous survey measuring morale, implements the new method, and then measures morale again after four weeks.

a. State the null and alternative hypotheses

b. State the rejection region

c. Conduct a sign test on the above data

d. What can you conclude?

A video game manufacturer has recently released a new game. The manufacturer wants to know whether players rate their new game as more or less difficult than the average difficulty rating of all of their games, μ = 6 and σ = 2. A random sample of 36 players yielded a sample mean of 7 and a standard deviation(s) of 1.8.

             a. State the null and alternative hypothesis.

             b. Conduct a z-test on the data given.

             c. What do you conclude?

Go Spurs Go!

Construct a 95% confidence interval for the Spurs score using the data given in class.

Given the results and their win loss record, can you make any conclusions about their offense/ defense in the year 2018? Support with EVIDENCE from the confidence interval!

116, 129, 120, 143,120,108,131,112,118,102,116,111,112,124,96,111,126,104,96,111,129,129,96,99,116,85,117,113

Textile manufacturer, Joywill International, is trying to decide which vendor they should source for a yarn needed in one of their products. Vendor A has a lower price than Vendor B but the determining factor must be the mean breaking strength of the yarn.

Random samples were drawn from the vendors’ supply, with results shown below:

Do these data provide sufficient evidence that the mean yarn strength for Vendor A is the more than the mean yarn strength for Vendor B.

Perform the appropriate hypothesis test using a significance level of 0.05.

Do your work in an Excel file. Make Excel do the test statistic calculation.!!!!!!

Do your work in an Excel file. Make Excel do the test statistic calculation.!!!!!!!!!

Do people generally receive the asking price when they sell their home? The accompanying table lists the asking price and sale price for a random sample of ten single-family home sales in Tahlequah, OK.

Perform a hypothesis test with a = .05 to determine whether there is a significant difference between the asking price and the selling price.

Consider the test of H0 : µ = 300 Vs. Ha : µ ≠ 300 using a random sample of 36 values and α = 5%. Assume that σ = 40. Find the power of the test when µa = 285.

In an effort to increase production of an automobile part, the factory manager decides to play music in the manufacturing area. Eight workers are selected, and the number of items each produced for a specific day is recorded. After one week of music, the same workers are monitored again. The data are given in the table below.

Can the manager conclude that the music has changed the production level?

Perform the appropriate hypothesis test with a significance level of 0.05.

Do your work in an Excel file. Make Excel do the test statistic calculation.!!!!!!!!!!!

A study was conducted to estimate hospital costs for accident victims who wore seat belts. Twenty randomly selected cases have a distribution that appears to be bell-shaped with a mean of $9004 and a standard deviation of $5629. Construct the 99% confidence interval for the mean of all such costs.

Please answer the problem below for all parts. Please show all work and write clearly. Thanks.

(Apply total probability and Bayes’ rules)

A large industrial firm uses three local motels to provide overnight accommodations for its clients. From past experience it is known that 22% of the clients are assigned rooms at the Ramada Inn, 50% at the Sheraton, and 28% at the Lakeview Motor Lodge. If the plumbing is faulty in 5% of the rooms at the Ramada Inn, in 4% of the rooms at the Sheraton, and in 8% of the rooms at the Lakeview Motor Lodge, what is the probability that:

(a) A client will be assigned a room with faulty plumbing?

(b) A person with a room having faulty plumbing was assigned accommodations at the Lakeview Motor Lodge?

A die has been "loaded" so that the probability of rolling any even number is

and the probability of rolling any odd number is

. (Assume the die is six-sided with each side numbered one through six.)

(a)

Find the following probabilities. Enter your probabilities as fractions.

What is the probability of rolling a 2, given that an even number is rolled?

(b)

Find the following probabilities. Enter your probabilities as fractions.

What is the probability of rolling a 3, given that a number divisible by 3 is rolled?

A bag contains 5 red balls and 7 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.)

(a) What is the probability that the second ball is white, given that the first ball is red?


(b) What is the probability that the second ball is red, given that the first ball is white?


(c) Answer part (a) if the first ball is replaced before the second is drawn.

A red ball and 5 white balls are in a box. If two balls are drawn, without replacement, what is the probability of getting each of the following? (Enter your probabilities as fractions.)

(a) a red ball on the first draw and a white ball on the second


(b) 2 white balls


(c) 2 red balls

A population of values has a normal distribution with μ = 96.2 μ = 96.2 and σ = 15 σ = 15 . You intend to draw a random sample of size n = 92 n = 92 .

Find the probability that a single randomly selected value is between 94 and 96.5. P(94 < X < 96.5) =

Find the probability that a sample of size n = 92 n = 92 is randomly selected with a mean between 94 and 96.5. P(94 < M < 96.5) =

People in the aerospace industry believe the cost of a space project is a function of the mass of the major object being sent into space. Use the following data to develop a regression model to predict the cost of a space project by the mass of the space object. Determine r² and s_e.

*(Do not round the intermediate values. Round your answers to 4 decimal places.)
**(Round the intermediate values to 4 decimal places. Round your answer to 3 decimal places.)

2) For a least squares regression line, the sum of the residuals is __________.

a) sometimes positive and sometimes negative

b) always zero

c) always positive

d) always negative

3) In the regression equation, y = 2.164 + 1.3657x, n = 6, the mean of x is 8.667, SS_xx = 89.333 and S_e = 3.44. A 95% confidence interval for the average of y when x = 8 is _________.

a) (3.56, 22.62)

b) (10.31, 15.86)

c) (9.13, 17.05)

d) (12.09, 14.09)

USE R, SHOW R CODE AND OUTPUT

APPLIED STATISTICS 2

3. Are Angry People More Likely to have Heart Disease’? People who get angry easily tend to be more likely to have heart disease. That is the conclusion of a study that followed a random sample of 12,986 people from three locations over about four years. All subjects were free of heart disease at the beginning of the study. The subjects took the Spielberger Trait Anger Scale, which measures how prone a person is to sudden anger. The 8474 people in the sample who had normal blood pressure were classified according to whether they had “coronary heart disease” (CHD) or not and whether they had low anger, moderate anger, or high anger according to the Anger Scale.  The classification summary is given.

                Use R to conduct a test to see whether we can conclude at α=0.05, that angry

                people are more likely to have heart disease.

USE R