Consider the following sample data for the relationship between advertising budget and sales for Product A: Observation 1 2 3 4 5 6 7 8 9 10

Advertising ($) 60,000 70,000 70,000 80,000 80,000 90,000 100,000 100,000 110,000 110,000

Sales ($) 363,000 432,000 417,000 502,000 483,000 537,000 614,000 625,000 653,000 666,000

What is the slope of the "least-squares" best-fit regression line? Please round your answer to the nearest hundredth.

How many even 4-digit numbers can be formed from the digits 1, 2, 3, 6, and 9 with no repetitions allowed? (Hint: Try filling the units place first.)

#%Last, the researchers hopes to understand how GDP influence birth rates. They theorize that perhaps countries with higher gross domestic product will invest more in women’s schooling. If more women know how to read, they hypothesize, then those women may have fewer children (due to better birth control knowledge, higher career aspirations, etc). The researchers add a variable measuring the percentage of women who can read to the regression equation. The results are presented in Equation 3 of Table 1.

Table 1. OLS Regression Coefficients Representing Influence of Economic Output (GDP) and Control Variables on Total Fertility Rate

	Equation 1	Equation 2	Equation 3
Gross Domestic Product per Capita (x 1000)	-.033 (.000)	-.033 (.000)	-.007 (.141)
Population size		-.0000000784 (.378)	-.0000000773 (.063)
Percentage of Women who can Read			-.043 (.000)
Y-intercept (Constant)	3.36	3.39	6.47
R2	.207	.213	.657

(Significance level in parentheses)

Question 1 What conclusion should the researcher draw about the focal relationship when comparing Equation 3 to Equation 2? (For this question, you should reference specific numbers that you are using to draw your conclusion.)

#$Last, the researchers hopes to understand how GDP influence birth rates. They theorize that perhaps countries with higher gross domestic product will invest more in women’s schooling. If more women know how to read, they hypothesize, then those women may have fewer children (due to better birth control knowledge, higher career aspirations, etc). The researchers add a variable measuring the percentage of women who can read to the regression equation. The results are presented in Equation 3 of Table 1.

Question 1. What is the reason the researchers are adding the variable measuring female literacy?

Question 2. Clearly explain which elaboration strategy the researchers are using when they add the new variable. You may draw a picture on your worksheet. You should not reference any numbers from the equation in answering this question

Only look at equation 3!!

Table 1. OLS Regression Coefficients Representing Influence of Economic Output (GDP) and Control Variables on Total Fertility Rate

	Equation 1	Equation 2	Equation 3
Gross Domestic Product per Capita (x 1000)	-.033 (.000)	-.033 (.000)	-.007 (.141)
Population size		-.0000000784 (.378)	-.0000000773 (.063)
Percentage of Women who can Read			-.043 (.000)
Y-intercept (Constant)	3.36	3.39	6.47
R2	.207	.213	.657

(Significance level in parentheses)

Explain what a meta-analysis is (i.e., what is a meta-analysis in terms of effect sizes).

A bag contains 3 white chips and 3 red chips. you repeatedly draw a chip at random from the bag. if it's white, you set it aside; if it's red, you put it back in the bag. after removing all 3 white chips, you stop. what is the expected number of times you will draw from the bag?

"Tongue Piercing May Speed Tooth Loss, Researchers Say" is the headline of an article. The article describes a study of 51 young adults with pierced tongues. The researchers found receding gums, which can lead to tooth loss, in 16 of the participants.

(a) Construct a 95% confidence interval for the proportion of young adults with pierced tongues who have receding gums. (Round your answers to three decimal places.)

( , )

(b) What assumptions must be made for use of the z confidence interval to be appropriate? (Select all that apply.)

1) The sample is voluntary.

2) The sample is a random sample.

3) The sample is independent.

4) The sample size is large.

1. What is the percentage of shared variance between the midterm and final grades in the table below?

   Midterm	Final
   55	100
   60	80
   78	92
   79	95
   80	90
   55	90
   64	40
   89	75
   90	70
   92	82
   94	70
   100	100

   		13%
   		17%
   		25%
   		Less than 1%

A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,757. Suppose that a random sample of 50 accounting graduates at a large university who received job offers resulted in a mean offer of $49,880 and a standard deviation of $3500. Do the sample data provide strong support for the claim that the mean salary offer for accounting graduates of this university is higher than the national average of $48,757? Test the relevant hypotheses using α = 0.05. (Use a statistical computer package to calculate the P-value. Round your test statistic to two decimal places and your P-value to three decimal places.)

t =

P-value =

Historical delivery times for Jackson Trucking, Inc. have had a mean of 3 hours and a standard deviation of 0.5 hours. A sample of 22 deliveries over the past month provides a sample mean of 3.1 hours and a sample standard deviation of 0.75 hours. Compute 95% confidence interval for the population variance. Select one: A. 0.5770 21.0718 B. 0.3329 21.1487 C. 0.4439 21.5317 D. 0.6663 21.2376

I know the answer is B

(n-1)s2 / x2 mui/2 <= o2 <= (n-1) s2 / X2 1- mui/2

(22-1)0.75sqrt / 35.479 <= o2 <= (22-1)0.75sqrt / 10.283

= 0.3329 <= o2 <= 1.1487

how do you get the 35.479 and 10.283?????

The employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in risk-free securities to stabilize income. The various revenue-producing investments together with annual rates of return are as follows:

Type of Loan/Investment Annual Rate of Return (%) Automobile loans 7 Furniture loans 10 Other secured loans 11 Signature loans 12 Risk-free securities 8

The credit union will have $2.3 million available for investment during the coming year. State laws and credit union policies impose the following restrictions on the composition of the loans and investments: • Risk-free securities may not exceed 30% of the total funds available for investment. • Signature loans may not exceed 10% of the funds invested in all loans (automobile, furniture, other secured, and signature loans). • Furniture loans plus other secured loans may not exceed the automobile loans. • Other secured loans plus signature loans may not exceed the funds invested in risk-free securities.

How should the $2.3 million be allocated to each of the loan/investment alternatives to maximize total annual return?

a.Type of Loan/Investment Fund Allocation Automobile loans:

$ Furniture loans

$ Other secured loans

$ Signature loans

$ Risk-free securities

b. What is the projected total annual return?

Annual Return = $

A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the pack-ages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.159 ounces, with a sample standard deviation of 0.051 ounce.

b. Determine the p-value and interpret its meaning.

I am unfamiliar with the excel function that everyone else seems to use for this answer.

2. A sample of 100 is selected from a population with mean µ = 100 and σ = 20.0.

(a) Describe the sampling distribution of the sample mean X¯.

(b) Find P(X >¯ 105).

(c) Find P(100 < X <¯ 105).

(d) Find P(98 < X <¯ 104).

3. According to the U.S. Department of Energy, the average price of unleaded regular gasoline sold at service stations throughout the nation is $1.23 per gallon with a standard deviation of $0.16. A random sample of 45 stations is selected and the pump prices for unleaded gasoline are recorded. Find the probability that the sample mean price:

(a) exceeds $1.28 per gallon,

(b) is less than $1.19 per gallon,

(c) is between $1.20 and $1.27 per gallon,

4. Almost all medical schools in the U. S. require students to take the Medical College Admission Test (MCAT). Suppose that the test scores follow a normal distribution with mean 25.0 and standard deviation 6.5.

(a) One student is selected at random, what is the probability that the student’s score is between 20 and 30?

(b) A random sample of 36 students is selected, what is the probability that their mean score is between 20 and 30?

1. Please provide a detailed description of an original example (i.e., something not discussed in class or the textbook) of a situation in which a paired samples t-test would be most appropriate.

George Caloz & Frères, located in Grenchen, Switzerland, makes prestige high-end custom watches in small lots. One of the company’s products, a platinum diving watch, goes through an etching process. The company has observed etching costs as follows over the last six weeks:

Week	Units			Total Etching Cost
1		14			$	27
2		11			$	20
3		16			$	30
4		10			$	20
5		12			$	25
6		15			$	28
		78			$	150

For planning purposes, management would like to know the amount of variable etching cost per unit and the total fixed etching cost per week.

Required:

1.	Prepare a scattergraph plot. (Place etching costs on the vertical axis and units on the horizontal axis.)

  

Instructions:
1.	On the graph below, use the point tool (Week 1) to plot units on the horizontal axis and total etching cost on the vertical axis.
2.	Repeat the same process for the plotter tools (Week 2 to Week 6).
3.	To enter exact coordinates, click on the point and enter the values of x and y.
4.	To remove a point from the graph, click on the point and select delete option.

      

2(a).

Using the least-squares regression method, estimate the variable and fixed elements of etching cost. (Round your answers to 2 decimal places.)

     

  

2(b).

Express the cost data in (2a) above in the form Y = a + bX. (Round your answers to 2 decimal places.)

     

         

3.	If the company processes thirteen units next week, what would be the expected total etching cost? (Round your intermediate and final answers to 2 decimal places.)