I know this is a long problem but I couldn't break it up because you need all the information. But it is only counted as one question on my homework.

Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted and fuel wasted. Let x represent the average annual hours per person spent in traffic delays and let y represent the average annual gallons of fuel wasted per person in traffic delays. A random sample of eight cities showed the following data.

Verify that Σx = 156, Σx² = 3918, Σy = 240, Σy² = 9308, and Σxy = 6011.

Compute r._____________?

The data in part (a) represent average annual hours lost per person and average annual gallons of fuel wasted per person in traffic delays. Suppose that instead of using average data for different cities, you selected one person at random from each city and measured the annual number of hours lost x for that person and the annual gallons of fuel wasted y for the same person.

(b) Compute x and y for both sets of data pairs and compare the averages.

Compute the sample standard deviations s_x and s_y for both sets of data pairs and compare the standard deviations.

Verify that Σx = 172, Σx² = 5026, Σy = 268, Σy² = 13,516, and Σxy = 7858.

Compute r.__________?

List some reasons why you think hours lost per individual and fuel wasted per individual might vary more than the same quantities averaged over all the people in a city.

1. The Exel file Accounting Professionals.xls provides the results of a survey of 27 employees in a tax division of a Fortune 100 company. Use PivotTables to find a cross tabulation of the following. Copy and Paste your results and write 1-2 sentences summarizing your findings.
   1. The number of employees of each gender who have or do not have a CPA
   2. The number of employees in each age group who have or do not have a CPA

Employee        Gender  Years of Service.       Years Undergraduate Study       Graduate Degree?        CPA?    Age Group       
1       F       17      4       N       Y       5       
2       F       6       2       N       N       2       
3       M       8       4       Y       Y       3       
4       F       8       4       Y       N       3       
5       M       16      4       Y       Y       4       
6       F       21      1       N       Y       7       
7       M       27      4       N       N       7       
8       F       7       4       Y       Y       2       
9       M       8       4       N       N       3       
10      M       23      2       N       Y       5       
11      F       9       4       Y       Y       3       
12      F       8       2       N       N       2       
13      F       8       4       Y       N       2       
14      M       26      4       N       Y       6       
15      F       9       4       N       Y       2       
16      F       9       2       N       N       2       
17      M       19      2       Y       Y       4       
18      M       5       4       N       N       4       
19      M       19      4       Y       N       7       
20      M       20      4       N       N       6       
21      F       14      4       Y       Y       4       
22      M       31      4       N       N       7       
23      F       10      0       N       N       7       
24      F       10      4       N       Y       3       
25      M       26      4       Y       Y       6       
26      M       28      4       N       N       7       
27      F       5       4       N       Y       1       
                                                        
                                                Age Group       Age Range
                                                1       21-25
                                                2       26-30
                                                3       31-35
                                                4       36-40
                                                5       41-45
                                                6       46-50
                                                7       51-55
                                                8       56-60
                                                9       over 60
                                                        

Match the following:

Q.Explain the flaws in the following analysis or conclusion. (Note that this is not about chi-squared test per se, perhaps, it is about what a statistical analysis (hypothesis testing in this case) can tell us and what it cannot) Background - The Scholarship Committee comprises 3 faculty members, one of whom is Professor X. Professor X also wrote recommendation letter for 5 students who took his class earlier and four of them were awarded scholarships (out of a total of six scholarships awarded to graduate students). A student who applied but was not awarded a scholarship accused Professor X of favoritism, claiming that he/she was denied a scholarship despite having a very high GPA because he/she did not take class under Professor X and had declined him/her a recommendation letter. The student then did following statistical analysis as an evidence of favoritism . The student runs a Chisq-test and his result shows not independent between students who took class under Professor X and Students got scholarship. H0: students who get scholarship is independent with whether they have taken class under Professor X H1: not independent # Let total number of students who applied for scholarship is 70, and only 5 people get the scholarship, conservatively estimate only 3 out of 5 students took Class with ProfessorX, the other two selected did not take Class with ProfessorX # chisquare test shows the p-value <0.05, thus we reject H0 at .05 level and conclude students who got scholarship was affected by whether they have class under Professor X #student in addition tests , how about the total applicants were 60, or 80? and find out either case we reject H0, they are not independent.

Q.Explain the flaws in the following analysis or conclusion. (Note that this is not about chi-squared test per se, perhaps, it is about what a statistical analysis (hypothesis testing in this case) can tell us and what it cannot)

Background - The Scholarship Committee comprises 3 faculty members, one of whom is Professor X. Professor X also wrote recommendation letter for 5 students who took his class earlier and four of them were awarded scholarships (out of a total of six scholarships awarded to graduate students). A student who applied but was not awarded a scholarship accused Professor X of favoritism, claiming that he/she was denied a scholarship despite having a very high GPA because he/she did not take class under Professor X and had declined him/her a recommendation letter. The student then did following statistical analysis as an evidence of favoritism .

The student runs a Chisq-test and his result shows not independent between students who took class under Professor X and Students got scholarship.

H0: students who get scholarship is independent with whether they have taken class under Professor X

H1: not independent

# Let total number of students who applied for scholarship is 70, and only 5 people get the scholarship, conservatively estimate only
3 out of 5 students took Class with ProfessorX, the other two selected did not take Class with ProfessorX

# chisquare test shows the p-value <0.05, thus we reject H0 at .05 level and conclude students who got scholarship was affected by whether they have class under Professor X

#student in addition tests , how about the total applicants were 60, or 80?
and find out either case we reject H0, they are not independent.

Q.Explain the flaws in the following analysis or conclusion. (Note that this is not about chi-squared test per se, perhaps, it is about what a statistical analysis (hypothesis testing in this case) can tell us and what it cannot) Background - The Scholarship Committee comprises 3 faculty members, one of whom is Professor X. Professor X also wrote recommendation letter for 5 students who took his class earlier and four of them were awarded scholarships (out of a total of six scholarships awarded to graduate students). A student who applied but was not awarded a scholarship accused Professor X of favoritism, claiming that he/she was denied a scholarship despite having a very high GPA because he/she did not take class under Professor X and had declined him/her a recommendation letter. The student then did following statistical analysis as an evidence of favoritism . The student runs a Chisq-test and his result shows not independent between students who took class under Professor X and Students got scholarship. H0: students who get scholarship is independent with whether they have taken class under Professor X H1: not independent # Let total number of students who applied for scholarship is 70, and only 5 people get the scholarship, conservatively estimate only 3 out of 5 students took Class with ProfessorX, the other two selected did not take Class with ProfessorX # chisquare test shows the p-value <0.05, thus we reject H0 at .05 level and conclude students who got scholarship was affected by whether they have class under Professor X #student in addition tests , how about the total applicants were 60, or 80? and find out either case we reject H0, they are not independent.

Q.Explain the flaws in the following analysis or conclusion. (Note that this is not about chi-squared test per se, perhaps, it is about what a statistical analysis (hypothesis testing in this case) can tell us and what it cannot) Background - The Scholarship Committee comprises 3 faculty members, one of whom is Professor X. Professor X also wrote recommendation letter for 5 students who took his class earlier and four of them were awarded scholarships (out of a total of six scholarships awarded to graduate students). A student who applied but was not awarded a scholarship accused Professor X of favoritism, claiming that he/she was denied a scholarship despite having a very high GPA because he/she did not take class under Professor X and had declined him/her a recommendation letter. The student then did following statistical analysis as an evidence of favoritism . The student runs a Chisq-test and his result shows not independent between students who took class under Professor X and Students got scholarship. H0: students who get scholarship is independent with whether they have taken class under Professor X H1: not independent # Let total number of students who applied for scholarship is 70, and only 5 people get the scholarship, conservatively estimate only 3 out of 5 students took Class with ProfessorX, the other two selected did not take Class with ProfessorX # chisquare test shows the p-value <0.05, thus we reject H0 at .05 level and conclude students who got scholarship was affected by whether they have class under Professor X #student in addition tests , how about the total applicants were 60, or 80? and find out either case we reject H0, they are not independent.

Suppose that we wish to test a claim that a sequence of sample data was produced in a random manner, and suppose that each data value belongs to one of two categories. Let n1n1 be the number of elements in the sequence that belong to the first category, n2n2 be the number of elements in the sequence that belong to the second category, and GG be the number of runs in such a sequence.

Answer each of the following questions

(a) The null hypothesis H0H0 is given by

A. β=0β=0
B. n1=n2n1=n2
C. ρ=0ρ=0
D. G=0G=0
E. The data are in a random order
F. r=0r=0
G. The data are in an order that is not random
H. Median=0=0
I. None of the above.

(b) The null hypothesis H1H1 is given by

A. The data are in an order that is not random
B. G≠0
C. n1≠n2n
D. The data are in a random order
E. Median ≠0
F. β≠0
G. r≠0
H. ρ≠0
I. None of the above.

(c) If α=.05,n1=11,n2=10 and G=11α=.05,n1=11,n2=10 and G=11, then the test statistic is

A. z=−1.73818884141813
B. z=+0.213735725267969
C. z=−1.77383808744063
D. z=0.786264274732031
E. z=+1.73818884141813
F. z=−0.213735725267969
G. G=11.
H. G=−11
I. z=+1.77383808744063
J. z=−0.786264274732031
K. None of the above.

(d) If α=.01,n1=10,n2=11 and G=11α=.01,n1=10,n2=11 and G=11, then the test statistic is

A. z=−1.78626427473203
B. z=−0.786264274732031
C. z=0.786264274732031
D. G=11G=11.
E. z=0.276264274732031
F. G=−11
G. z=−0.276264274732031
H. z=+0.213735725267969
I. z=1.78626427473203
J. z=−0.213735725267969
K. None of the above.

a) Based on recent statistics, Green Way Airlines expects 4.2% of its customers will be “no shows”. If the airline sold 260 seats for a flight, how many people would the airline expect as “no-shows”? (Round to the nearest whole number)

b) If the airplane can hold 254 passengers, can all those who show up at the gate get on the plane? Explain

4. Volunteers from Habitat for Humanity are painting 16 interior walls in new homes that have been built. Each wall measures 14 feet by 6 2/3 feet. a) If a gallon of paint covers 400 square feet, how many gallons will be required to paint all the walls? (Round to next whole number) b) If each gallon costs $27.95, find the cost of the project.

5. In a recent year, wind machines in the United States generated 17.8 billion kilowatt-hours of electricity (enough to power more than 1.6 million households). The nation's total electricity production was 4450 billion kilowatt-hours. What percent of the total electrical energy production was generated by wind machines?

6. If a 5 1/4 inch line on a map represents a 9-mile road, how many miles would be represented by a 3 1/2 inch line?

7. At a fire sale, items are being sold at 3/4 off the marked price. What is the sale price of an item that has a marked price of $156?

8. Sixteen ounces of mouthwash costs $3.49 while a 33-ounce container of the same brand costs $6.99. Which is a better buy? Why?

9. The price of gasoline jumped from $3.24 per gallon to $4.05 per gallon in one year. What was the percent increase?

10. You buy 2.75 yards of material at $4.80 per yard and pay $0.87 sales tax. What is the total cost for your purchase?

11. Ruth orders clothes from a retail catalog. She orders two turtleneck tops for $35 each, two pairs of stretch pants for $45 each, one winter jacket for $130, and three leather belts for $25 each. The shipping and handling charge for the order is $15. What is the total charge for Ruth's order?

12. A recipe for a wedding punch calls for 12 quarts of champagne. If the champagne comes in bottles that are 4/5 of a quart, how many bottles of champagne would be needed?

13. One bank offers a 4-year car loan at an annual simple interest rate of 7% plus a loan application fee of $45. A second bank offers 4-year car loans at an annual simple interest rate of 8% but no loan application fee. If you need to borrow $5800 to purchase a car, which of the two bank loans has the lesser loan cost? (Assume you keep the car for all 4 years.)

14. In a recent survey of new car buyers, 20 of 63 men said they would prefer to buy a silver car while 16 of 49 women said they would prefer silver. a) Which group has a stronger preference for silver cars? b) Explain your answer

15. How many acres are contained in 1 square mile? (1 mile = 5280 ft.; 1 acre = 43,560 sq. ft.)