Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, the probabilities of Atlanta winning each game are as follows:

Set up a spreadsheet simulation model for which whether Atlanta wins or loses each game is a random variable. What is the probability that the Atlanta Braves win the World Series? If required, round your answer to two decimal places.
What is the average number of games played regardless of winner? If required, round your answer to one decimal place.

Three years​ ago, the mean price of an existing​ single-family home was $243,742. A real estate broker believes that existing home prices in her neighborhood are higher.

a. determine the null and alternative hypothesis

b. explain what it would mean to make a Type 1 error

c. explain what it would mean to make a Type 2 error

At a small liberal arts college, students can register for one to six courses. In a typical fall semester, 5% of students take one class, 26% take four classes, and 15% take six classes.

a) If 77% of students take four or more classes, find the probability that a randomly selected student takes five courses. What is the probability that a randomly selected student takes three classes, if 10% take at most two classes?

b) Calculate the expected value and standard deviation for the number of classes students enroll in.

The FBI wants to determine the effectiveness of their 10

Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught.

Step 2 of 2 :

Suppose a sample of 246

suspected criminals is drawn. Of these people, 108 were captured. Using the data, construct the 80% confidence interval for the population proportion of people who are captured after appearing on the 10

Most Wanted list. Round your answers to three decimal places.

A pharmaceutical manufacturer wants to investigate the bioactivity of a new drug. A completely randomized single-factor experiment was conducted with three dosage levels, and the following results were obtained. Use R to run ANOVA to test if the dosage has some effects or not.

a. Find the test statistic.

b. Find the p-value (Please input a decimal value. Please input 0 or 0.0001 if it is smaller than 0.0001 ) .

Elementary Statistics, 10th Edition, by Mario Triola; chapter 2, section 2-2, question 18, page 50:

Loaded die: the author drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 180 times. The results are given in the frequency distribution in the margin. Construct the frequency distribution for the outcome you would expect from a die that is perfectly fair and unbiased. Does the loaded die appear to differ significantly from a fair die that has not been "loaded."

table for question 18:

Outcome: Frequency:

1 24

2 28

3 39

4 37

5 25

6 27

Iron-deficiency anemia is the most common form of malnutrition in developing countries, affecting about 50% of children and women and 25% of men. Iron pots for cooking foods had traditionally been used in many of these countries, but they have been largely replaced by aluminum pots, which are cheaper and lighter. Some research has suggested that food cooked in iron pots will contain more iron than food cooked in other types of pots. One study designed to investigate this issue compared the iron content of some Ethiopian foods cooked in aluminum, clay, and iron pots. Foods considered were yesiga wet', beef cut into small pieces and prepared with several Ethiopian spices; shiro wet', a legume-based mixture of chickpea flour and Ethiopian spiced pepper; and ye-atkilt allych'a, a lightly spiced vegetable casserole. Four samples of each food were cooked in each type of pot. The iron in the food is measured in milligrams of iron per 100 grams of cooked food. The data are shown in the table below.

(a) Make a table giving the sample size, mean, and standard deviation for each type of pot. Is it reasonable to pool the variances? Although the standard deviations vary more than we would like, this is partially due to the small sample sizes, and we will proceed with the analysis of variance.

(b) Plot the means. Give a short summary of how the iron content of foods depends upon the cooking pot.

This answer has not been graded yet.

(c) Run the analysis of variance. Give the ANOVA table, the F statistics with degrees of freedom and P-values, and your conclusions regarding the hypotheses about main effects and interactions.

Iron-deficiency anemia is the most common form of malnutrition in developing countries, affecting about 50% of children and women and 25% of men. Iron pots for cooking foods had traditionally been used in many of these countries, but they have been largely replaced by aluminum pots, which are cheaper and lighter. Some research has suggested that food cooked in iron pots will contain more iron than food cooked in other types of pots. One study designed to investigate this issue compared the iron content of some Ethiopian foods cooked in aluminum, clay, and iron pots. Foods considered were yesiga wet', beef cut into small pieces and prepared with several Ethiopian spices; shiro wet', a legume-based mixture of chickpea flour and Ethiopian spiced pepper; and ye-atkilt allych'a, a lightly spiced vegetable casserole. Four samples of each food were cooked in each type of pot. The iron in the food is measured in milligrams of iron per 100 grams of cooked food. The data are shown in the table below.

(a) Make a table giving the sample size, mean, and standard deviation for each type of pot. Is it reasonable to pool the variances? Although the standard deviations vary more than we would like, this is partially due to the small sample sizes, and we will proceed with the analysis of variance.

This answer has not been graded yet.

(b) Plot the means. Give a short summary of how the iron content of foods depends upon the cooking pot.

This answer has not been graded yet.

(c) Run the analysis of variance. Give the ANOVA table, the F statistics with degrees of freedom and P-values, and your conclusions regarding the hypotheses about main effects and interactions.

I need to time series plot the following data. I am confused since there are multiple sections (441, 442, 443, 444, 445, 452, 4521. This is just two years worth of the data.

a data set mean 14 and standard deviation 2. Approximately 68% of the observations lie between ____ and _____

Suppose a bucket contains one white and one black ball. We pick out a ball equally likely at random and then put the ball back along with another of the same color. Then we repeat. What is the probability that the first time we pick a white ball is after the ith iteration?

Calculate the mean and standard deviation and interpret your findings for the following set of data showing the diastolic blood pressure measurements for a sample of 9 individuals: 61, 63, 64, 69, 71, 77, 80, 81, and 95. On average, the average distance of an individual data point is approximately 10.93 diastolic pressure points from the mean diastolic pressure of 73.44. On average, the average distance of an individual data point is approximately 119.53 diastolic pressure points from the mean diastolic pressure of 73.44. On average, the average distance of an individual data point is approximately 10.93 diastolic pressure points from the mean diastolic pressure of 71. On average, the average distance of an individual data point is approximately 119.53 diastolic pressure points from the mean diastolic pressure of 71.

Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in reducing the probability of getting the flu. They conduct a trial on 3000 people. The results are summarized in the contingency table below.

Observed Frequencies: O_i's

The Test: Test for a dependent relationship between getting the vaccine and getting the flu. Conduct this test at the 0.01 significance level.

(a) What is the null hypothesis for this test?

H₀: Getting the flu vaccine and getting the flu are independent variables.

H₀: Getting the flu vaccine helps prevent the flu.     

H₀: Getting the flu vaccine and getting the flu are dependent variables.

(b) What is the value of the test statistic? Round to 3 decimal places unless your software automatically rounds to 2 decimal places.

χ<sup>2= ?

(c) Use software to get the P-value of the test statistic. Round to 4 decimal places unless your software automatically rounds to 3 decimal places.
P-value = ?

(d) What is the conclusion regarding the null hypothesis?</sup>

reject H₀

fail to reject H₀    

(e) Choose the appropriate concluding statement.

We have proven that getting the flu vaccine prevents the flu.

The evidence suggests that getting the flu vaccine and getting the flu are dependent variables.    

There is not enough evidence to conclude that getting the flu vaccine and getting the flu are dependent variables.

How to do this in ti84 plus calculator in shortest possible way

The annual per capita consumption of bottled water was 32.8 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.8 and a standard deviation of 10 gallons.

a. What is the probability that someone consumed more than 43 gallons of bottled​ water?

b. What is the probability that someone consumed between 30 and 40 gallons of bottled​ water?

c. What is the probability that someone consumed less than 30 gallons of bottled​ water?

d. 97.5% of people consumed less than how many gallons of bottled​ water?

Following are age and price data for 10 randomly selected cars between 1 and 6 years old.​ Here, x denotes​ age, in​ years, and y denotes​ price, in hundreds of dollars. Use the information to complete parts​ (a) through​ (g).

a. Find the regression equation for the data points.

y=__+(__)x