Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 48 customers per hour and 1 customer processed per minute.

Compare a multiple-server waiting line system with a shared queue to a multiple-server waiting line system with a dedicated queue for each server. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system compare with the two-server waiting line system with a shared queue? Compare the average number of customers waiting, average number of customers in the system, average waiting time, and average time in the system. If required, round your answers to four decimal places.

Comparing these numbers, it is clear that the two dedicated queues

• shared single queue
• two dedicated queues

results in better process performance than the shared single queue

• shared single queue
• two dedicated queues

.

Indicate whether each statement represents a conceptual definition, part of an operational definition, or a hypothesis?

1. The organizational capacity of nonprofit organizations consists of their relevance, responsiveness, effectiveness, and resilience?
2. To determine the quality of police services, we asked respondents, if they thought there was less, about the same, or more crime in their neighborhoods compared to the rest of the city?
3. The more politically engaged the respondents, the higher the probability that they will have a favorable attitude toward government services?
4. Home health care has been identified as an array of therapeutic and preventive services provided to patients in their homes or in foster homes?
5. Controlled items are those that must be identified, accounted for, secured, segregated, and handled in a special manner.?
6. Uncontrolled items are likely to have a higher rate of wastage than controlled items?    

The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal​ distribution, with a mean of 17 minutes and a standard deviation of 2.5 minutes. ​(a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take​ longer, the customer will receive the service for​ half-price. What percent of customers receive the service for​ half-price? ​(b) If the automotive center does not want to give the discount to more than 5​% of its​ customers, how long should it make the guaranteed time​ limit?

A student surveys some students on campus in the evening and finds that 16 out of 20 of the students she interviewed are part time students. She uses the data to estimate the percentage of all students who are part time. What type of bias is present in her sample?

Data 1. Clearly do it with nice handwriting you can use excel

Q.1 Why is it “clearly not” Poisson? (a) Calculate summary statistics for Data1 and use them to argue that the distribution is not a Poisson distribution. (b) Use the method of moments to estimate what the parameter of a Poisson distribution would be to give you those values. (c) Collate how many values there are in the range 0-4, 5-9, 10-14, etc. and plot the resulting histogram. (d) Use the Chi-square test to determine whether the data fit a Poisson distribution.  Find a better distribution for Data1: (f) Show your reasoning for which distribution you choose, and remember, you may need to compare several distributions. (g) Give all measures of fit you use, including at least the Chi-square measure of fit, calculated as you did in the question above. You are encouraged to use other measures also.

Scenario:

Assuming the data below is from a randomly sampled population of Psychology Major’s and the scores represent Self-Esteem. All majors have a mean of µ=15 and standard deviation of σ=5.

Data:

10, 12, 18, 12, 15, 14, 11, 10, 14, 17, 15, 13, 12

Instructions:

1. For the data above, calculate the mean, median, mode, range, sum of squares, variance, and standard deviation and put them into an APA style table (If you use JASP, then you can copy the APA table from the results).  

10 points

2. Write out the hypotheses for testing self-esteem of Psychology Majors and the All Majors are the same or different. This should be a one tailed test (are Psychology majors higher or lower – you decide), using an alpha α =.05.

10 points

3. Calculate the z value for a hypothesis test. Report in APA your findings (including the critical z value used to determine if there is a significant difference).

10 points

4. Is the z-score you calculated statistically significant? Explain your answer.

10 points

5. What do you conclude? Write a short summary of your conclusions using the data from your analysis to support your conclusions.

10 points

Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, O for olives, S for shrimp, E for eggs, V for vinaigrette, and F for French. When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: mushrooms, olives. Also, you will add one of following meats: shrimp, eggs. Lastly, you will decide on one of the following dressings: vinaigrette, French.

Use Minitab, R, or your preferred software for this question.

An exercise physiologist used skinfold measurements to estimate the total body fat, Y, expressed as a percentage of body weight, X₁, for 19 participants in a physical fitness program. Body fat percentage and body weight are shown in the table below.

Note that participants 1-10 are male and 11-19 are female. Define a variable X₂ which is 1 for males and 0 for females, and fit the model Y=β₀+β₁X₁+β₂X₂+e.

What is the estimated value of the regression coefficient for variable Weight?  [2 pt(s)]

What is the estimated value of the intercept?  [2 pt(s)]

What is your computed value of SSE?  [2 pt(s)]

What is your computed value of MSE?  [1 pt(s)]

What is the standard error of the estimate of β₁?  [2 pt(s)]

A baseball hitter hits a home run about once every 10 times at bat. We are interested in the number of hits before the first home run happens.

1. Give the distribution of X including parameters, if any. i.e., X ~ ________()

2. How many times does he bat on the average before the first home run?
3. Suppose we are interested in the number of hits before the third home run. Give the distribution of X including parameters, if any. i.e., X ~ ________()
   1. ​​​​​​​Show the following two using R:
4. What is the probability that the he has 4 hits before the first home run?
5. What is the probability that he has 7 hits before the third home run?

When performing a χ2 test for independence in a contingency table with r rows and c​ columns, determine the​ upper-tail critical value of the test statistic in each of the following circumstances.

c.

α=​0.01,

r=3​,

c=6

a. The critical value is ____. ​(Round to three decimal places as​ needed.)

b. The critical value is _____. ​(Round to three decimal places as​ needed.)

c. The critical value is ______. ​(Round to three decimal places as​ needed.)

d. The critical value is ______. ​(Round to three decimal places as​ needed.)

e. The critical value is _____. ​(Round to three decimal places as​ needed.)

Now that you have conducted a series of inferential statistics to validate your claim. Discuss any three (3) possible concerns in business or statistical aspects regarding the approach used here. Such that in retrospect, how would you have done this study differently again?

An independent mail delivery service wants to study factors that affect the daily gas usage of its delivery trucks. Using data collected from different trucks on various days, a company analyst uses a software to fit a regression model of the form =y+52.3+−8.9x14.1x2+5x30.09x4 , where =y volume of gasoline used (in gallons) =x1 weight of truck (in tons) =x2 tire pressure (in psi, pounds per square inch) =x3 weight of initial package load (in hundreds of pounds) =x4 total distance driven while delivering packages (in miles) Answer the following questions for the interpretation of the coefficient of x1 in this model. Holding the other variables fixed, what is the average change in daily fuel used for each additional ton that a truck weighs? gallon(s) Is this change an increase or a decrease? increase decrease

Use the following contingency table to complete​ (a) and​ (b) below.

a. Compute the expected frequencies for each cell.

b. Compute χ2STAT. is it significant at α=0.005​?

Set up the null and alternative hypotheses to test. Choose the correct answer below.

1. H0​: πA= πB= πC

H1​:Not all πj are equal​ (where j=​A, ​B, C)

2. H0​: π1=π2

H1​: Not all jπj are equal​ (where j=​1, ​2)

3. H0​: Not all jπj are equal​ (where j=​A, ​B, C)

H1​: πA= πB= πC

4. H0​: Not all jπj are equal​ (where j=​1, ​2)

H1​: π1=π2

Compute χ2STAT.

χ2STAT=

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

Find the​ p-value.

​p-value=

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

Is χ2STAT significant at α=0.005​?

1. Yes​, because the​ p-value is greater than or equal to the level of significance.
2. Yes​, because the​ p-value is less than the level of significance.
3. No​, because the​ p-value is less than the level of significance.
4. No because the​ p-value is greater than or equal to the level of significance.

2) The following is a sample of times (in minutes) between calls received at a technical support help line. 1.1, 1.6, 2.5, 2.6, 2.6, 2.6, 2.6, 2.9, 2.9, 3.1, 3.1, 3.4, 3.4, 3.5, 3.6, 3.7, 3.8, 3.8, 3.8, 3.8, 4.0, 4.1, 4.1, 4.3, 4.3, 4.4, 4.4, 4.5, 4.5, 4.6, 4.7, 4.8, 4.9, 5.0, 5.2, 5.2, 5.5, 5.7, 5.8, 5.9, 6.3, 6.4, 6.7, 6.7

a) Construct a dot plot.

b) Construct a relative frequency distribution. Use 7 classes. The limits of the first class are 1.1-1.9. Give your relative frequencies as percentages to two decimal places.

c) Construct a relative frequency histogram.

d) Construct a box plot.

Find the area under the standard normal curve to the left of z=−0.9