Refer to the gasoline sales time series data in the given table.

1. Compute four-week and five-week moving averages for the time series. Round your answers to two decimal places.
   

   Week	Sales	4-Week Moving Average	5-Week Moving Average
   1	18
   2	21
   3	19
   4	22
   5	18
   6	16
   7	20
   8	19
   9	23
   10	19
   11	16
   12	22

2. Compute the MSE for the four-week and five-week moving average forecasts. Round your intermediate calculations and final answers to two decimal places.
   
   MSE for four-week moving average =  
   
   MSE for five-week moving average =
3. What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? Recall that MSE for the three-week moving average is 9.
   
   

Refer to the gasoline sales time series data in the given table.

1. Compute four-week and five-week moving averages for the time series. Round your answers to two decimal places.
   

   Week	Sales	4-Week Moving Average	5-Week Moving Average
   1	17
   2	20
   3	18
   4	22
   5	17
   6	16
   7	22
   8	17
   9	23
   10	21
   11	14
   12	22

2. Compute the MSE for the four-week and five-week moving average forecasts. Round your intermediate calculations and final answers to two decimal places.
   
   MSE for four-week moving average =
   
   MSE for five-week moving average =
   
3. What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? Recall that MSE for the three-week moving average is 12.87.
   
   

Pharmacologist Dr. Finch was asked by a drug company to compare the bioavailability of two brands of aspirin (brands A and B for simplicity). She randomly chose 10 healthy male subjects and asked each to take 3 pills of each brand on two separate days. The 1-hour urine concentrations (mg%) of aspirin for each subject on both occasions were carefully measured and tabulated as follows.

      Subject ID      Aspirin A 1-hour             Aspirin B 1-hour

1. Let µ_A and µ_B be the mean 1-hour concentration of aspirin A and B, respectively. Write down Dr. Finch’s research objective in terms of H₀ and H_A.
2. Perform an appropriate test at the 5% significance level.
3. If a 95% CI for the difference µ_A − µ_B is desired, would the number zero within or without this CI? Briefly explain why or why not.

A man is hiking at a park. At the beginning, he followed a straight trail. From the starting point, he traveled two miles down the first trail. Then he turned to his left by 30 degree angle to follow a second trail for one point five miles. Next, he turned to his right by 160 degree angle and follow a third trail for one point seven miles. At this point he was getting very tired and would like to get back as quickly as possible, but all of the available trails seem to lead him deeper into the woods. He would like to take a shortcut directly through the woods. How far to his right should you suggest him to turn, and how far do he have to walk, to go directly back to his starting point?

Q1: The man has to turn ____ degree to the right and walk ___ miles to the starting point.

4. Consider that an individual wants to allocate $1,000 between two goods, namely, DVDs and shirts. The price of DVDs are $20/DVD, and the price of shirts are $50/shirt.

(a) Suppose that the individual buys eight shirts. Show the combination of DVDs and shirts for this individual on their budget constraint. Illustrate this choice using the appropriate budget constraint.

(b) Explain how this individual makes the choice of buying this specific combination of DVDs and shirts.

(c) What would happen to the budget constraint if the price of shirts falls to $40/shirt? Illustrate the new budget constraint on the graph from part (a). What does the individual’s choices say about the ’Law of Demand?’

The following information pertains to Amigo Corporation:

      Month                        Sales         Purchases

      July                         $30,000             $10,000

      August                      34,000               12,000

      September                 38,000               14,000

      October                     42,000               16,000

      November                 48,000               18,000

      December                  60,000               20,000

?           Cash is collected from customers in the following manner:

            Month of sale (2% cash discount)     30%

            Month following sale                       50%

            Two months following sale              15%

            Amount uncollectible                        5%

?     40% of purchases are paid for in cash in the month of purchase, and the balance is paid the following month.

Required:

a.   Prepare a summary of cash collections for the 4th quarter.

b.   Prepare a summary of cash disbursements for the 4th quarter.

Program must be in C++!

Write a program which: Write a program which uses the following arrays: empID: An array of 7 integers to hold employee identification numbers. The array should be initialized with the following values: 1, 2, 3, 4, 5, 6, 7. Hours: an array of seven integers to hold the number of hours worked by each employee. payRate: an array of seven doubles to hold each employee’s hourly pay rate. Wages: an array of seven doubles to hold each employee’s gross salary. The program should display each employee number and ask the user to enter that employee’s hours and pay rate. It should then calculate the gross wages for that employee (hours times pay rate) and store them in the wages array. After the data has been entered for all the employees, the program should display each employee’s identification number and gross wages. General Restrictions : No global variables No labels or go-to statements No infinite loops, examples include: for(;;) while(1) while(true) do{//code}while(1); No break statements to exit loops.

Nonparametric tests should not be used when ______.

the associations being tested involve categorical variables

the dependent variables are ordinal scales

the assumptions of parametric tests are met

the population distribution is heavily skewed

The chi-square tests are used to analyze ______.

Medians

frequency of data

continuous variables

skewness

The ______ tests are more powerful than the ______ tests, which means the ______ is higher for nonparametric tests.

parametric; nonparametric; type II error

nonparametric; parametric; type I error

parametric; nonparametric; type I error

nonparametric; parametric; type II error

If a 3 × 3 table is presented, then you know that a study used ______ independent variables each with ______ categories.

nine; two

two; four

three; three

two; three

Expected frequencies are obtained in rows-by-columns table assuming that the row and column categorizations are ______.

independent of each other

equal

related to each other

dependent on each other

Which of the following is a possible null hypothesis for a chi-square test?

The two categorical variables are unrelated in the population.

The means of populations in two independent groups are equal.

The two categorical variables are related in the population.

The distribution of scores for the first population is different from the distribution of scores for the second population.

If you have a 5 × 5 frequency table, then the critical value of chi-square would be based on ______ degrees of freedom.

16

8

10

25

Below are the number of acts of graffiti that occur on walls painted white, painted blue, or covered with chalkboard. H_o is frequencies of graffiti are equal in the population. With N = 30, f_e = N/k = 30/3 = 10 for each category.

What is the critical value for this test?

3.84

5.99

9.21

9.57

Below are the number of acts of graffiti that occur on walls painted white, painted blue, or covered with chalkboard. H_o is frequencies of graffiti are equal in the population. With N = 30, f_e = N/k = 30/3 = 10 for each category.

What is the appropriate obtained value for this test?

7.80

2.60

3.90

5.99

Below are the number of acts of graffiti that occur on walls painted white, painted blue, or covered with chalkboard. H_o is frequencies of graffiti are equal in the population. With N = 30, f_e = N/k = 30/3 = 10 for each category.

In the population, we expect _____% of graffiti on white walls, _____% on blue walls, and _____% on chalkboard walls.

58%; 21%; 19%

27%; 17%; 57%

50%; 25%; 25%

33%; 33%; 33%

A) At the local pizza parlor people line up outside in their masks and proceed 1 at a time into the store to pay for and pick up the pizza. The manager who receives the orders for the pizzas wants to minimize peoples wait time. So she keeps track of the wait times for 25 people in mimutes: 40, 32, 5, 14, 7, 9, 13, 8, 9, 15, 11, 9, 15, 13, 14, 14, 7, 10, 13, 15, 18, 8, 18, 11, 7 A)Check to see if the data is normal using the normal plot.

B)If it looks normal, construct a 95% confidence bound for the mean wait time, otherwise, construct a 95% confidence bound for the median wait time.

a.Calculate the total sum of squares​ (SST) and partition the SST into its two​ components, the sum of squares between​ (SSB) and the sum of squares within​ (SSW).

b. Use these values to construct a​ one-way ANOVA table.

c. Using alpha equals0.05, what conclusions can be made concerning the population​ means?

Sample_1   Sample_2   Sample_3
3                       1              7
2                       3              6
16                     5              3
                                           8

Determine the values.

SSTequals

SSBequals

SSWequals

​b) Complete the​ one-way ANOVA table below.

nothing

​(Type integers or decimals. Round to three decimal places as​ needed.)

​c) Let mu 1 mu 2 and mu 3 be the population means of samples​ 1, 2, and​ 3, respectively. What are the correct hypotheses for a​ one-way ANOVA​ test?

What is the critical​ F-score,

What is the correct conclusion about the population​ means?