Suppose you want to determine the rate law that governs the kinetics of the reaction A+Bà products, carried out in the presence of catalyst C. you perform measurements of initial reaction velocities on four different mixtures of starting materials and obtain the following results:

Expt. #    [A]₀    [B]₀    [C]₀    v₀

1              0.4    0.3      0.6      0.6

2              1.2      0.3      0.6      1.79   

3              0.4      0.3      1.8      5.41

4              1.2      0.9      0.6      1.79

where the initial concentrations are expressed mold m^-3, the initial reaction velocities are expressed in mol dm^-3s^-1 and the v₀ data was obtained at 298K. Use these results to determine the differential rate law for the kinetics of the reaction and also evaluate the relevant rate constant.

Kyle’s Shoe Stores Inc. is considering opening an additional suburban outlet. An aftertax expected cash flow of $120 per week is anticipated from two stores that are being evaluated. Both stores have positive net present values.

a. Compute the coefficient of variation for each site. (Do not round intermediate calculations. Round your answers to 3 decimal places.)

b. Which store site would you select based on the distribution of these cash flows? Use the coefficient of variation as your measure of risk.

• Site A

• Site B

Debby’s Dance Studios is considering the purchase of new sound equipment that will enhance the popularity of its aerobics dancing. The equipment will cost $24,400. Debby is not sure how many members the new equipment will attract, but she estimates that her increased annual cash flows for each of the next five years will have the following probability distribution. Debby’s cost of capital is 14 percent. Use Appendix D for an approximate answer but calculate your final answers using the formula and financial calculator methods.
  

  
  
b. What is the expected net present value? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places.)
  

Net present value ____

1. The owner of Showtime Movie Theaters, Inc. would like to estimate weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow.

1. Is the estimated regression equation coefficient for television advertising expenditures the same in par a), in part b) and in part c)? Interpret the coefficient in each case
2. Obtain and compare the multiple coefficient of determination and the adjusted multiple coefficient of determination for parts a), b) and c). How does the coefficient of determination changes as a result of adding more independent variables in the equation?
3. What is the estimate of the weekly gross revenue for a week when $3500 is spent on television advertising, $1800 is spent on newspaper advertising, and $350 in radio advertising?

PLEASE SHOW IN EXCEL AND HOW TO DO IT. Thank you!

The data in the table below are the changes in the amount of space available to standing passengers at the 19 stops between 1987 and 1988.

In the table below, summary information is presented for these data.

1. (a) Using the raw data and summary information presented in the tables above, construct modified box plots to compare the changes in available space the morning and afternoon. (Reminder: Don't forget to check for outliers!)

2. (b) The Transit System wishes to know if their efforts to improve the standing space were successful. (Remember, more space is better!) Their engineers had suggested that the changes in the system would, on average, be more successful at increasing the available space in the morning than in the afternoon. Does the data support this initial belief? What specific aspects of the plot in part (a) support your answer?

3. (c) Using your box plots in part (a), write a short paragraph for the New York Times describing the success the Transit System had in increasing the available space per passenger. Note any differences in success between the morning rush and the afternoon rush.

Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.

A sample of 53 stocks traded on the NYSE that day showed that 21 went up.

You are conducting a study to see if the proportion of stocks that went up is is significantly more than 0.3. You use a significance level of α=0.005α=0.005.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = ______

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = _______

The p-value is...

A) less than (or equal to) αα

B) greater than αα

This test statistic leads to a decision to...

A) reject the null

B)accept the null

C)fail to reject the null

As such, the final conclusion is that...

A) There is sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is is more than 0.3.

B) There is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is is more than 0.3.

C) The sample data support the claim that the proportion of stocks that went up is is more than 0.3.

D) There is not sufficient sample evidence to support the claim that the proportion of stocks that went up is is more than 0.3.

Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.

A sample of 50 stocks traded on the NYSE that day showed that 5 went up.

You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of α=0.10α=0.10.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

• less than (or equal to) αα
• greater than αα

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is less than 0.3.
• There is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is less than 0.3.
• The sample data support the claim that the proportion of stocks that went up is is less than 0.3.
• There is not sufficient sample evidence to support the claim that the proportion of stocks that went up is less than 0.3.

Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 66 stocks traded on the NYSE that day showed that 10 went up. You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of α = 0.001 α=0.001 . What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) α α greater than α α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is is less than 0.3. There is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is is less than 0.3. The sample data support the claim that the proportion of stocks that went up is is less than 0.3. There is not sufficient sample evidence to support the claim that the proportion of stocks that went up is is less than 0.3.

Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 69 stocks traded on the NYSE that day showed that 25 went up. You are conducting a study to see if the proportion of stocks that went up is is significantly more than 0.3. You use a significance level of α = 0.05 α = 0.05 .

What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value = The p-value is... less than (or equal to) α α greater than α α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is is more than 0.3. There is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is is more than 0.3. The sample data support the claim that the proportion of stocks that went up is is more than 0.3. There is not sufficient sample evidence to support the claim that the proportion of stocks that went up is is more than 0.3.

Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.

A sample of 62 stocks traded on the NYSE that day showed that 27 went up.

You are conducting a study to see if the proportion of stocks that went up is is significantly more than 0.3. You use a significance level of α=0.10α=0.10.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

• less than (or equal to) αα
• greater than αα

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is is more than 0.3.
• There is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is is more than 0.3.
• The sample data support the claim that the proportion of stocks that went up is is more than 0.3.
• There is not sufficient sample evidence to support the claim that the proportion of stocks that went up is is more than 0.3.