In the late summer of 2008, a brief war broke out between the two countries—Russia and Georgia. Suppose you are a researcher interested in nationalistic attitudes in these two countries. You decided to use data from the World Values Survey, which is available at the following URL: http://www.worldvaluessurvey.org/. The data of interest are presented below on Russian respondents.

Return to the original data. Exactly 940 persons between the ages of 15 and 29 indicated that they were “quite proud” of their nationality. Suppose for the moment that only 840 persons between the ages of 15 and 29 were “quite proud” of their nationality. Keeping the other cells as they were originally, recalculate the value of the chi-square statistic and determine whether it is statistically significant. Explain why adjusting only one cell in Question #10 resulted in a different conclusion.

chandler Oil has 5000 barrels of crude oil 1 and 10,000 barrels of crude oil 2 available. Chandler sells gasoline and heating oil. These products are produced by blending the two crude oils together. Each barrel of crude oil 1 has a quality level of 10 and each barrel of crude oil 2 has a quality level of 5.6 Gasoline must have an average quality level of at least 8, whereas heating oil must have an average quality level of at least 6. Gasoline sells for $75 per barrel, and heating oil sells for $60 per barrel. In addition, if any barrels of the crude oils are leftover, they can be sold for $65 and $50 per barrel, respectively. (This opion wasn’t part of the model before the fifth edition of the book.) We assume that demand for heating oil and gasoline is unlimited, so that all of Chandler’s production can be sold. Chandler wants to maximize its revenue from selling gasoline, heating oil, and any leftover crude oils.

Objective:

To develop an LP spreadsheet model for finding the revenue-maximizing plan that meets quality constraints and stays within limits on crude oil availabilities.

and Write an appropriate mathematical Model for this problem

Answer the following questions and upload to Canvas. Submit in Word or PDF format.  Show your work and upload the Excel sheet as well. All the writing parts must be your original writing, don't quote, write in your own words.

The following table presents the orders of Samson Company for the last 36 months (3 years).

1. Use the data in the above table and regression analysis to forecast the orders for the next 12 months (4th year). Include your excel work sheet and your work in your write up. Show the regression equation, values of intercept, slope, correlation coefficient and coefficient determination and the forecast of orders for the next 12 months.
2. Explain how you could make your forecast’s results more reliable by incorporating a qualitative research to your quantitative results.

How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from 20°F to 45°F. A random sample of prices ($) for sleeping bags in this temperature range is given below. Assume that the population of xvalues has an approximately normal distribution.

(a) Use a calculator with mean and sample standard deviation keys to find the sample mean price x and sample standard deviation s. (Round your answers to two decimal places.)

(b) Using the given data as representative of the population of prices of all summer sleeping bags, find a 90% confidence interval for the mean price μ of all summer sleeping bags. (Round your answers to two decimal places.)

Do various occupational groups differ in their diets? A British study of this question compared 86 drivers and 52 conductors of London double-decker buses. The conductors' jobs require more physical activity. The article reporting the study gives the data as "Mean daily consumption ± (se)." Some of the study results appear below.

What justifies the use of the pooled two-sample t test?

The similarity of the sample means suggests that the population standard deviations are likely to be similar.

The similarity of the sample standard deviations suggests that the population standard deviations are likely to be different.     

The similarity of the sample means suggests that the population standard deviations are likely to be different.The similarity of the sample standard deviations suggests that the population standard deviations are likely to be similar.

Is there significant evidence at the 5% level that conductors consume more calories per day than do drivers? Use the pooled two-sample t test to obtain the P-value. (Give answers to 3 decimal places.)

In a random sample of 28 ​people, the mean commute time to work was 30.1 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a​ t-distribution to construct a 95​% confidence interval for the population mean mu. What is the margin of error of mu​?

Interpret the results.

The confidence interval for the population mean mu is:

What is the margin of error of mu​?

Photon Technologies, Inc., a manufacturer of batteries for mobile phones, signed a contract with a large electronics manufacturer to produce three models of lithium-ion battery packs for a new line of phones. The contract calls for the following:

Photon Technologies can manufacture the battery packs at manufacturing plants located in the Philippines and Mexico. The unit cost of the battery packs differs at the two plants because of differences in production equipment and wage rates. The unit costs for each battery pack at each manufacturing plant are as follows:

The PT-100 and PT-200 battery packs are produced using similar production equipment available at both plants. However, each plant has a limited capacity for the total number of PT-100 and PT-200 battery packs produced. The combined PT-100 and PT-200 production capacities are 175,000 units at the Philippines plant and 160,000 units at the Mexico plant. The PT-300 production capacities are 75,000 units at the Philippines plant and 100,000 units at the Mexico plant. The cost of shipping from the Philippines plant is $0.18 per unit, and the cost of shipping from the Mexico plant is $0.10 per unit.

1. Suppose that you roll two dice simultaneously. Let X be the random variable that gives the product of the two die outcomes. Let f(x) = P(X = x) be the probability distribution for X.

(a) Is X discrete or continuous?

(b) What is f(12)?

(c) If F(x) is the cumulative distribution function, what is F(4)?

Blood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters, for a sample of 7 adults. The following table presents the results. The least-squares regression line =y=+b0b1x+24.83840.4499x, =se7.161065, =Σ−xx2407.43, and x=120.71 are known for this data.

1.)Construct a 90% prediction interval for the diastolic pressure of a particular person whose systolic pressure is 120. Round your answer to at least three decimal places.

A hat contains eight one-dollar bills and two thousand-dollar bills. A coin is tossed. If it falls heads, Bill gets to draw, at random, two bills from the hat. If the coin falls tails, Bill draws only one bill, unless this first bill is a one-dollar bill; in the latter case, he gets to draw two additional bills. What is the average value of the bills Bill draws?

Data on the rate at which a volatile liquid will spread across a surface are in the table. Complete parts a through

c.

a. Find a 99%confidence interval for the mean mass of all spills with an elapsed time of 34 minutes. Interpret the result.

What is the confidence​ interval?

(____________, _____________),

​(Round to three decimal places as​ needed.)

Interpret the result. Choose the correct answer below.

A.We are 99% confident that the interval will contain the mean mass of the spill after

34 minutes.

B.We are 99​% confident that the interval will contain 34

minutes.

C.We are 99% confident that the interval will not contain the mean mass of the spill at 34 minutes.

D.We are 99​% confident that the interval will contain the mean mass of the spill before 34 minutes has passed

.b. Find a 99% prediction interval for the mass of a single spill with an elapsed time of 34 minutes. Interpret the result.

What is the prediction​ interval?

(__________ ,_________ )

​(Round to three decimal places as​ needed.)

Interpret the result. Choose the correct answer below.

A.We are 99​% confident that the interval will not contain the mass of the spill after 34 minutes.

B.We are 99​% confident that the interval will contain the mass of the spill before 34 minutes has passed.

C.We are 99​% confident that the interval will contain the mass of the spill after 34 minutes.

D.We are 99​% confident that the interval will contain 34 minutes

.c. Compare the​ intervals, parts a and

b. Which interval is​ wider? Will this always be the​ case? Explain. Fill in the blanks below.The

▼

(confidence, prediction)

interval is wider. This

(will not,will)

always be the case because the error of this interval is

.random error.

twice the error of the other interval.

half the error of the other interval.

the sum of two errors.

Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that more than 85% of firms in the manufacturing sector still do not offer any child-care benefits. A random sample of 460 manufacturing firms is selected, and only 34 of them offer child-care benefits. Specify the rejection region that the union will use when testing at alpha=.10 include the null and alternate hypothesis

1. Use data in BUSI1013 Credit Card Balance.xlsx to complete the following. You will need to use a statistical package such as StatTools or the Regression program within Excel’s Data Analysis Add-in to generate the estimated regression equation and the ANOVA etc. (12 points)
   What is the estimated regression equation using Account Balance as the dependent variable, and Income, Years of Education, as well as Size of Household as the independent variable?
2. a.Comment on the goodness of fit of the model using the coefficient of determination.
3. b.Conduct an F test with the critical value approach to see whether the overall model is significant. Use α = 0.01.
4. c.Perform a t test with p-value approach for the significance of the Income variable. Use α = 0.05.
5. d.Perform a t test with the p-value approach for the significance of the Size of Household variable. Use α = 0.05.
6. e.Estimate the Account Balance of a customer who has an income of $62 thousand, 14 years of education, and a household size of 3.

5. For each of the following, determine the interval width that would be best for a grouped frequency distribution and identify the approximate number of intervals needed to cover the range of series.

A. scores that range from X=6 to X= 81

B. Scores that range from X=18 to X=34

C. scores that range from X=56 to  X=97

You want to find the proportion of residents in Richmond who support bringing a professional sports team to the area. Of the 98 people you survey, 43 of them would support a professional team. Create a 95% confidence interval for the proportion of all Richmond residents who would support a professional team. Please show the work so I can understand the math