The following table shows age distribution and location of a random sample of 166 buffalo in a national park.

Use a chi-square test to determine if age distribution and location are independent at the 0.05 level of significance.

(a) What is the level of significance?


State the null and alternate hypotheses.

H₀: Age distribution and location are not independent.
H₁: Age distribution and location are not independent.H₀: Age distribution and location are independent.
H₁: Age distribution and location are independent.    H₀: Age distribution and location are independent.
H₁: Age distribution and location are not independent.H₀: Age distribution and location are not independent.
H₁: Age distribution and location are independent.

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)


Are all the expected frequencies greater than 5?

YesNo    

What sampling distribution will you use?

normaluniform    binomialchi-squareStudent's t

What are the degrees of freedom?


(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)

p-value > 0.1000.050 < p-value < 0.100    0.025 < p-value < 0.0500.010 < p-value < 0.0250.005 < p-value < 0.010p-value < 0.005

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?

Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis.    Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.

(e) Interpret your conclusion in the context of the application.

At the 5% level of significance, there is sufficient evidence to conclude that age distribution and location are not independent.At the 5% level of significance, there is insufficient evidence to conclude that age distribution and location are not independent.

The following table shows age distribution and location of a random sample of 166 buffalo in a national park.

Use a chi-square test to determine if age distribution and location are independent at the 0.05 level of significance.

(a) What is the level of significance?


State the null and alternate hypotheses.

H₀: Age distribution and location are independent.
H₁: Age distribution and location are independent.H₀: Age distribution and location are independent.
H₁: Age distribution and location are not independent.     H₀: Age distribution and location are not independent.
H₁: Age distribution and location are not independent.H₀: Age distribution and location are not independent.
H₁: Age distribution and location are independent.

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)


Are all the expected frequencies greater than 5?

YesNo     

What sampling distribution will you use?

chi-squarenormal     binomialuniformStudent's t

What are the degrees of freedom?


(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)

p-value > 0.1000.050 < p-value < 0.100     0.025 < p-value < 0.0500.010 < p-value < 0.0250.005 < p-value < 0.010p-value < 0.005

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?

Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis.     Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.

(e) Interpret your conclusion in the context of the application.

At the 5% level of significance, there is sufficient evidence to conclude that age distribution and location are not independent.

At the 5% level of significance, there is insufficient evidence to conclude that age distribution and location are not independent.

If you have a chance please answer as many as possible, thank you and I really appreciate your help experts!

Question 1 2 pts

A consumer analyst reports that the mean life of a certain type of alkaline battery is no more than 63 months. Write the null and alternative hypotheses and note which is the claim.

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Question 2 2 pts

A business claims that the mean time that customers wait for service is at most 9.2 minutes. Write the null and alternative hypotheses and note which is the claim.

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Question 3 2 pts

An amusement park claims that the average daily attendance is at least 12,000. Write the null and alternative hypotheses and note which is the claim.

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Question 4 2 pts

A transportation organization claims that the mean travel time between two destinations is about 12 minutes. Write the null and alternative hypotheses and note which is the claim.

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Question 5 2 pts

If the null hypothesis is not rejected when it is false, this is called __________.

Rotten Ronnie's is a pub located next to the campus of S.A.I.T. and serves as a gathering place for studious Hotel and Restaurant Management students. Ronnie sells beer on tap and all brands of bottled beer Ronnie is also considering selling hamburgers (a known post secondary staple for starving SAIT students) during selected hours. His reasons are twofold. First burgers would attract daytime customers (a beer and a hamburger are a quick lunch) and, second he has to meet the competition from Local Lou's, The Gateway and other local bars, some of which provide more extensive menus. Ronnie analyzed the costs as follows:

Beer: average contribution margin 0.75

extra beer sold per day 80

Monthly Fixed Expenses:

Wage of part-time cook 2,675

Other 1,450

Variable Expenses Per Hamburger:

Roll 0.19

Meat @ $6.40 per kilogram 0.80 (8 hamburgers per kilogram)

Other 0.36

Ronnie planned a selling price that he believes will lure in many customers. 2.75

Days in the month 30

Hamburgers sold ( part 3 ) 5,140

REQUIRED:

1- What are the monthly and daily break even points in number of hamburgers ?

2- What are the monthly and daily break even points in dollar sales ?

3- At the end of 2 months Ronnie finds he has sold several hamburgers. What is the operating profit per month on hamburgers ? ( see above for hamburgers sold )

4- Ronnie thinks that extra beers can be sold each day because he sells hamburgers. This means he anticipates that because of hamburgers sales he anticipates that his daily beer sales will increase as per above ( extra beer sold per day ). What effect will the additional beer sales have on monthly income ?

5-Refer to requirement 3. How many extras beers would have to be sold per day so that the overall effects of the hamburger sales on monthly operating income would be zero ?

Aggie Power Generation supplies electrical power to residential customers for many U.S. cities. Its main power generation plants are located in Los Angeles, Tulsa, and Seattle. The following table shows Aggie Power Generation's major residential markets, the annual demand in each market (in megawatts or MW), and the cost to supply electricity to each market from each power generation plant (in $/MW).

(a)

If there are no restrictions on the amount of power that can be supplied by any of the power plants, what is the optimal solution to this problem?

(i)

Which cities should be supplied by which power plants? (Enter your optimal solution as a comma-separated list of ordered triples for the amount of power each power plant supplies to each city. Report electrical power in MW.)

(L1, T1, S1), (L2, T2, S2), …, (L10, T10, S10) =  

(ii)

What is the total annual power distribution cost for this solution? (Round your answer to the nearest whole dollar.)

$

(b)

If at most 4,000 MW of power can be supplied by any one of the power plants, what is the optimal solution? (Enter your optimal solution as a comma-separated list of ordered triples for the amount of power each power plant supplies to each city. Report electrical power in MW. Round your answers to two decimal places.)

(L1, T1, S1), (L2, T2, S2), …, (L10, T10, S10) =  

What is the annual increase in power distribution cost that results from adding these constraints to the original formulation? (Round your answer to the nearest whole dollar.)

$

Benoit is opening a bed and breakfast inn in a popular beach resort town. He hopes to appeal to professional couples and retirees who want a high-end beach vacation experience but with a more home style experience – basically the experience of living in a luxurious beach house but with all the amenities of a high end hotel. Benoit’s B&B is directly on the beach and a few of the rooms have ocean views and in the evenings, from the front porch and from the beautifully landscaped back patio and pool area, the relaxing sound of the crashing of the waves can be heard. Benoit’s B&B has 15 bedrooms with private baths, a large dining area, and several stylish and comfortable lounging and reading areas on the main floor. He has two additional rooms on the main floor and one in the basement that are currently used for storage but could be developed into other amenities if the need arises. In addition to himself as owner, his staff (departments) will consist of a small kitchen staff, a cleaning crew, maintenance and lawn crew, and two managers. In order to attract the right type of clients and compete with the high-end boutique hotels, Benoit knows that he must make the experience at Benoit’s B&B an exceptional one. He has decided to implement a balanced score card to help each of the departments understand and implement his strategic plan.

Question 2

Part A:

In your own words, answer the following three questions as if the questions were asked of you by someone who knows nothing about the topic.

1. What is meant by sustainability?
2. What is corporate social responsibility reporting?
3. What are the 3 P’s and why are they sometimes referred to as the triple bottom line?

Part B:

We are currently in the middle of a global pandemic which has changed, at least temporarily, how business is conducted in most parts of the world. Write a paragraph or two to discuss how this pandemic might change a company’s approach to corporate social responsibility reporting. This should not be about the effects on one specific company rather it should be about broader implications of the pandemic impacting corporate social responsibility of corporations.

Where are the deer? Random samples of square-kilometer plots were taken in different ecological locations of a national park. The deer counts per square kilometer were recorded and are shown in the following table.

Shall we reject or accept the claim that there is no difference in the mean number of deer per square kilometer in these different ecological locations? Use a 5% level of significance.

(a) What is the level of significance?

State the null and alternate hypotheses.(from the following)
H_o: μ₁ = μ₂ = μ₃; H₁: At least two means are equal.

H_o: μ₁ = μ₂ = μ₃; H₁: Not all the means are equal.    

H_o: μ₁ = μ₂ = μ₃; H₁: Exactly two means are equal.

H_o: μ₁ = μ₂ = μ₃; H₁: All three means are different.

(b) Find SS_TOT, SS_BET, and SS_W and check that SS_TOT = SS_BET + SS_W. (Use 3 decimal places.)

Find d.f._BET, d.f._W, MS_BET, and MS_W. (Use 2 decimal places for MS_BET, and MS_W.)

Find the value of the sample F statistic. (Use 3 decimal places.)


What are the degrees of freedom?
(numerator)
(denominator)

(c) Find the P-value of the sample test statistic.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?
(e) Interpret your conclusion in the context of the application.

(f) Make a summary table for your ANOVA test.

“Are you familiar with STAR monthly trend reports?” asked Mark, the

outgoing RM at the newly refurbished Bradford Hampton Inn.

Mark was talking to Ja Lin, the newly hired RM for the property. Mark

was retiring, and the hotel’s GM had asked him to “show her the ropes”

on his last day of work and her first day.

“I think I understand them pretty well,” replied Ja Lin.

“That’s great” said Mark, “performance is really important here. But

you’ll really like the freedom you’ll have in this position. Our GM and

DOSM are so busy with sales and their own to-do lists that rate and

inventory management decisions will be pretty much left up to you.

Since the renovation, we have always led the comp set. Our RevPAR

index for the month is 119.5 percent. That makes us first again. I’m

really proud of that!”

Ja Lin reviewed the trend report document Mark had handed her to her.

The competitive set’s overall occupancy rate for the month was

61.5 percent. Her property’s occupancy index for the month was 140.9

percent. Its ADR index was 84.8 percent.“Of course, the owners always want more. Just between you and me, I’m

not sure they will ever be satisfied. They are always pushing for us to do

better,” continued Mark as he shook his head.

“Do better?” asked Ja Lin.

“Yes, better. You know. Make them more money. Honestly, I just don’t

think they are very realistic,” said Mark.

1. What do you think has been the rationale

behind Mark’s revenue management strategy?

2. Do you think the current strategy is in the long-term best interests

of the hotel’s owners? Explain.

3. What actions would you advise Ja Linto take to learn more about

her hotel’s relative placement within her competitive set and the

customer value her hotel delivers?

___ 1. Lester Company has a single product. The

selling price is $50 and the variable cost is $30 per

unit. The company’s fixed expenses are $200,000 per

month. What is the company’s unit contribution mar-

gin? a) $50; b) $30; c) $20; d) $80.

___ 2. Refer to the data for Lester Company in

question 1 above. What is the company’s contribution

margin ratio? a) 0.60; b) 0.40; c) 1.67; d) 20.00.

___ 3. Refer to the data for Lester Company in

question 1 above. What is the company’s break-even

in sales dollars? a) $500,000; b) $33,333; c) $200,000;

d) $400,000.

___ 4. Refer to the data for Lester Company in

question 1 above. How many units would the company

have to sell to attain target profits of $50,000? a)

10,000; b) 12,500; c) 15,000; d) 13,333.

___ 5. The following figures are taken from Park-

er Company’s income statement: Net income, $30,000;

Fixed costs, $90,000; Sales, $200,000; and CM ratio,

60%. The company’s margin of safety in dollars is: a)

$150,000; b) $30,000; c) $50,000; d) $80,000.

___ 6. Refer to the data in question for Parker

Company in 5 above. The margin of safety in percen-

tage form is: a) 60%; b) 75%; c) 40%; d) 25%.

___ 7. Refer to the data for Parker Company in

question 5 above. What is the company’s total contri-

bution margin? a) $110,000; b) $120,000; c) $170,000;

d) $200,000.

___ 8. Refer to the data for Parker Company in

question 5 above. What is the company’s degree of

operating leverage? a) 0.25; b) 0.60; c) 1.25; d) 4.00.

___ 9. If sales increase from $400,000 to

$450,000, and if the degree of operating leverage is 6,

net income should increase by: a) 12.5%; b) 75%; c)

67%; d) 50%.

___ 10. In multiple product firms, a shift in the

sales mix from less profitable products to more profit-

able products will cause the company’s break-even

point to: a) increase; b) decrease; c) there will be no

change in the break-even point; d) none of these.