Annual Amount Spent on Organic Food = α + b₁Age + b₂AnnualIncome
+ b₃Number of People in Household + b₄Gender

After you have reviewed the results from the estimation, write a report to your boss that interprets the results that you obtained. Please include the following in your report:

1. The regression output you generated in Excel.
2. Your interpretation of the coefficient of determination (r-squared).
3. Your interpretation of the global test for statistical significance (the F-test).
4. Your interpretation of the coefficient estimates for all the independent variables.
5. Your interpretation of the statistical significance of the coefficient estimates for all the independent variables.
6. The regression equation with estimates substituted into the equation. (Note: Once the estimates are substituted into the regression equation, it should take a form similar to this: y = 10 +2x₁ +1x₂ +4x₃ +0.9x₄)
7. An estimate of “Annual Amount Spent on Organic Food” for the average consumer. (Note: You will need to substitute the averages for all the independent variables into the regression equation for x, the intercept for α, and solve for y.)
8. A discussion of whether or not the coefficient estimate on the Age variable in this estimation is different than it was in the simple linear regression model from Module 3 Case. Be sure to explain why it did/did not change.
9. You decide you want to generate an elasticity coefficient, so you log the following variables in Excel: Annual Amount Spent on Organic Food, Annual Income.
10. Using Excel, generate regression estimates for the following model:

Log(Annual Amount Spent on Organic Food) = α +b₁Age + b₂Log(AnnualIncome)
+ b₃Number of People in Household + b₄Gender

11. Your interpretation of the coefficient estimate for Log(AnnualIncome).
12. Your interpretation of the coefficient of determination (r-squared) for this new model.

An Olympic archer misses the​ bull's-eye 13​% of the time. Assume each shot is independent of the others. If she shoots 9 ​arrows, what is the probability of each of the results described in parts a through f​ below? ​a) Her first miss comes on the fourth arrow. The probability is 9.8. ​(Round to four decimal places as​ needed.) ​b) She misses the​ bull's-eye at least once. The probability is 0.6731. ​(Round to four decimal places as​ needed.) ​c) Her first miss comes on the second or third arrow. The probability is nothing. ​(Round to four decimal places as​ needed.) ​d) She misses the​ bull's-eye exactly 3 times. The probability is nothing. ​(Round to four decimal places as​ needed.) ​e) She misses the​ bull's-eye at least 3 times. The probability is nothing. ​(Round to four decimal places as​ needed.) ​f) She misses the​ bull's-eye at most 3 times. The probability is nothing. ​(Round to four decimal places as​ needed.)

28. A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It is believed that the machine is underfilling the bags. A 16 bag sample had a mean of 441 grams with a variance of 256. Assume the population is normally distributed. A level of significance of 0.05 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.

29. A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 447 gram setting. It is believed that the machine is underfilling the bags. A 31 bag sample had a mean of 445 grams with a variance of 441. Assume the population is normally distributed. A level of significance of 0.05 will be used. State the null and alternative hypotheses.

Which of these situations fit the conditions for using Bernoulli​ trials? Explain. ​a) You are rolling 8 dice and need to get at least three 1s to win the game. ​b) We record the distribution of home states of customers visiting our website. ​c) A committee consisting of 8 men and 12 women selects a delegation of 5 to attend a professional meeting at random. What is the probability they choose all​ women? ​d) A study found that 58​% of M.B.A. students admit to cheating. A business school dean surveys all the students in the graduating class and gets responses in which cheating was admitted by 322 of 549 students.

In the description of the following experiment, determine the experimental factor. During a study testing a new vaccine for Zika virus, the research team grouped the volunteers enrolled for the test into Group A and Group B. Group A received an inert drug (placebo) while Group B received the vaccine.

Select the correct answer below:

whether or not a person contracts the Zika virus

the effectiveness of the new vaccine

the drug received by each group

the group receiving the new vaccine

1. A population has a mean of 40 and a standard deviation of 10. Find the z-scores corresponding to each of the following raw scores:

1. 60.00

2. 32.46

2. A population has a mean of 3 and a standard deviation of 3. Turn the following z scores into raw scores:

1. Z score: 1.75

2. Z score: -2.35

3. For the z-scores below, find the percentile rank (percent of individuals scoring below):

1. 2

2. -0.5

4. First graders in the state of Virginia get an average score of 20 on a reading test (higher score reflect higher levels of performance). A teacher is using a new method to teach reading. She predicts that by the end of the first grade, students getting her new method will have significantly higher scores on reading than those in the population. The mean score of the 25 students in her class is 23.2 and the standard deviation of the population is 4.7.

1. State the null and alternative hypotheses.

2. Calculate the z-score.

This problem is also a Monte Carlo simulation, but this time in the continuous domain: must use the following fact: a circle inscribed in a unit square

has as radius of 0.5 and an area of ?∗(0.52)=?4.π∗(0.52)=π4.

Therefore, if you generate num_trials random points in the unit square, and count how many land inside the circle, you can calculate an approximation of ?

For this problem, you must create code in python

(B) Without drawing the diagram, calculate the value of ? you would get from 10⁵ trials.

(C) After completing (B), try to get a more accurate value for ? by increasing the number of trials.The results will depend on your machine

A simple random sample of size n=36 is obtained from a population with mean=89 and standard deviation = 6

​(c) What is P ( x overbar less than or equal to 86.65)​? ​

(d) What is P(88.5 < x overbar < 91.25)?

​(a) Describe the sampling distribution of x overbar.

​(b) What is P ( x overbar > 90.85 )?

1. A public health researcher wants to collect data about race of people who have HIV. His hypothesis is that HIV rates will affect African Americans differently than other races.

1. What would the null hypothesis be for this study?

2. What is the research hypothesis?

3. The researcher publishes an article saying that there were, in fact, more African Americans with HIV than other races with the disease in his study. Did the researcher fail to reject or reject the null hypothesis?

2. A medical researcher is testing if a migraine medication significantly reduces migraines.

1. What would a Type I error look like?

2. What would a Type II error be in this study?

PLEASE PROVIDE ANSWER FOR DEDICATED QUEUES:
Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 21 customers per hour and 1 customer processed per minute.

Compare a multiple-server waiting line system with a shared queue to a multiple-server waiting line system with a dedicated queue for each server. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system compare with the two-server waiting line system with a shared queue? Compare the average number of customers waiting, average number of customers in the system, average waiting time, and average time in the system. If required, round your answers to four decimal places.

Comparing these numbers, it is clear that the shared or dedicated results in better process performance than the shared or dedicated?? .

Andi and Budi will meet. Suppose A is an event where Andi arrives late, and B is an event where Budi arrives late, with P (A) = 0.1 and P (B) = 0.3. What is the chance the two of them will meet on time if

a. Genesis A and B are independent (independent)?
b. P (B | A) = 0.5?
c. P (B | A) = 0.1?

Say we have the following hypotheses

H0: μ <50

HA: μ > 50

We know that the population standard deviation is 8. If we collect a sample of 64 observations and want α = 0.05, calculate whether or not we reject the null for the following sample means: a.x̅=52.5

b.x̅=51

c.x̅=51.8

For questions 1-5, X1, X2, ... , X23 is a random sample from a distribution with mean μ = -1.02 and variance σ2 = 0.62.

For questions 5-10, X1, X2, ... , X28 is a random sample from a distribution with mean μ = -8.77 and variance σ2 = 1.28.

1. Find μx, the mean of the sample average.
2. Find σ2x, the variance of the sample average.
3. Find P(X ≤ -1.14).
4. Find P(X > -1.14).
5. Find P(-1.08 < X ≤ -0.94).
6. Find μx, the mean of the sample average.
7. Find σ2x, the variance of the sample average.
8. Find P(X ≤ -8.47).
9. Find P(X > -8.47).
10.Find P(-9.02 < X ≤ -8.64).

Consider an experiment where you toss a coin as often as necessary to turn up one head.Suppose that the probability of having a tail is p(obviously probability of a head is 1−p).Assume independence between tosses.a) State the sample space.

b) Let X be the number of tosses needed to get one head. What is the support (possible values ofX)?

c) FindP(X= 1),P(X= 2) andP(X= 3).

d) Deduce the pmf of X from part c).

Suppose you have to calculate the number of popping sounds popcorn does in each five-second interval. For example:

Discuss what type of variables you have, such as quantitative or qualitative, discrete or continuous, nominal, ordinal, interval, or ratio.

There are two variables: 5 seconds interval and number of popping sounds. Please describe them. Thank you.