Suppose data were collected on the number of customers that frequented a grocery stores on randomly selected days before and after the governor of the state declared a lock down due to COVID 19. A sample of 6 days before the lockdown were chosen as well as 6 days randomly chosen after the lock down was in place. The number of shoppers each day were as follows:

This is interval/ratio data because they are characteristics of the days.

1. Calculate accountable, unaccountable, and total variation. Show your work.
2. Eta square is accountable variation divided by total variation. Determine eta square. It is interpreted as the variation in the dependent variable that can be accounted for by the independent variable. Describe eta square in terms of this problem.

5. In math class, a student has written down a sequence of 16 numbers on the blackboard. Below each number, a second student writes down how many times that number occurs in the se‐ quence. This results in a second sequence of 16 numbers. Below each number of the second se‐ quence, a third student writes down how many times that number occurs in the second se‐ quence. This results in a third sequence of numbers. In the same way, a fourth, fifth, sixth, and seventh student each construct a sequence from the previous one. Afterward, it turns out that the first six sequences are all different. The seventh sequence, however, turns out to be equal to the sixth sequence.

   Give one sequence that could have been the sequence written down by the first student. Explain which solution strategy or algorithm you have used.

You and your friend go sledding. Out of curiosity, you measure the constant angle θ that the snow-covered slope makes with the horizontal. Next, you use the following method to determine the coefficient of friction µk between the snow and the sled. You give the sled a quick push up so that it will slide up the slope away from you. You wait for it to slide back down, timing the motion. It turns out that the sled takes four times as long to slide down as it does to reach the top point in the round trip. In terms of θ, what is the coefficient of friction? draw a free body diagram for the sled going up the slope and another for the sled coming down the slope, show all work and explain in 1 - 2 sentences why it takes longer for the sled to slide down the slope than to go up the slope

The Statute of Frauds. Kendall Gardner agreed to buy from B&C Shavings, a specially built shaving mill to produce wood shavings for poultry processors. B&C faxed an invoice to Gardner reflecting a purchase price of $86,200, with a 30 percent down payment and the “balance due before shipment.” Gardner paid the down payment. B&C finished the mill and wrote Gardner a letter telling him to “pay the balance due or you will lose the down payment.” By then, Gardner had lost his customers for the wood shavings, could not pay the balance due, and asked for the return of his down payment. Did these parties have an enforceable contract under the Statute of Frauds? Explain. [Bowen v. Gardner, 2013 Ark.App. 52, __ S.W.3d __ (2013)] (See The Statute of Frauds.) What is the discussion and what is the legal reason?

In math class, a student has written down a sequence of 16 numbers on the blackboard. Below each number, a second student writes down how many times that number occurs in the sequence.  This results in the second sequence of 16 numbers. Below each number of the second sequence, a third student writes down how many times that number occurs in the second sequence. This results in the third sequence of numbers. In the same way, a fourth, fifth, sixth, and seventh student each construct a sequence from the previous one. Afterward, it turns out that the first six sequences are all different. The seventh sequence, however, turns out to be equal to the sixth sequence. Give one sequence that could have been the sequence written down by the first student. Explain which solution strategy or algorithm you have used.

In math class, a student has written down a sequence of 16 numbers on the blackboard. Below each number, a second student writes down how many times that number occurs in the sequence. This results in a second sequence of 16 numbers. Below each number of the second sequence, a third student writes down how many times that number occurs in the second sequence. This results in a third sequence of numbers. In the same way, a fourth, fifth, sixth, and seventh student each construct a sequence from the previous one. Afterward, it turns out that the first six sequences are all different. The seventh sequence, however, turns out to be equal to the sixth sequence. Give one sequence that could have been the sequence written down by the first student. Explain which solution strategy or algorithm you have used.

Jason is interested in buying a new Maserati Gibli. The sales price of the car is $77,000. Jason intends to put a down payment of $15,000 and take up the balance with a 5 year loan. Since Jason has excellent credit, he anticipates the annual interest rate (APR) for his future loan would be 2.84%. Round your answers to the nearest dollar.

1. Using a spreadsheet model, what will be the monthly payment for his car if he were to take up the loan for the remaining balance of the car over 5 years with an APR at 2.84%?

2. The maximum down payment Jason can afford is $30,000. Construct a one-way data table with the down payment amount as the column input and monthly payment as the output. Vary the down payment amount between $0 and $30,000 in increments of $5,000. What is the range of payments that Jason is expecting?

3. After thinking about the future loan, Jason decides he only wants to pay $900 per month. Using the appropriate Excel tool, find the exact down payment amount that Jason needs.

Please show how to solve all problems using Excel.

A research team wanted to compare the difference between serum uric acid levels in patients with and without Down syndrome. A sample of 12 individuals with Down syndrome yielded a mean of 4.5 mg/100 ml with standard deviation 1 mg/100 ml while a sample of 15 individuals without Down syndrome yielded a mean of 3.4 mg/100 ml with standard deviation 1.2 mg/100 ml. Let those with Down syndrome be group 1 and those without be group 2. Note: When doing calculations with the means and standard deviations, just use the main number. For example: “4.5 mg/100 ml” --> just use 4.5 A. What are the sample statistics (p̂1 and p̂2 or ȳ1 and ȳ2)? Please calculate/write their values and calculate their difference (p̂1-p̂2 or ȳ1-ȳ2). B. Construct a 95% confidence interval for the true average difference in serum uric acid levels overall between those with Down syndrome and those without. Use t* = 2.06 if solving by hand. Provide the interval in (left endpoint, right endpoint) format. C. Interpret the confidence interval in the context of the study.

8) Would gravity do more work on a brick sliding down a frictionless ramp if the brick started from rest, or if it started with an initial velocity down the slope?

a) Gravity does more work if it started from rest.

b) Gravity does more work if it started with an initial velocity down the slope.

c) Gravity does the same amount of work in both cases.

9) In a particular instant, a rock slides horizontally along a slope. The force of friction acting on the slope is in what direction?

a) Up the slope

b) Down the slope

c) In the direction of travel of the rock

d) Opposite the direction of travel of the rock

10) I stand with my arms straight out and spin. Which body part has more centripetal acceleration?

a) My elegant hands

b) My gorgeous elbows

c) It’s a tie.

11) I stand on slope with one foot in the air. What could I do to increase the friction I receive from the slope?

a) Put my other foot down.

b) Pick up a physics book that was on the slope by me.

c) either

d) neither

A block with a mass of 0.488 kg is attached to a spring of spring constant 428 N/m. It is sitting at equilibrium. You then pull the block down 5.10 cm from equilibrium and let go. What is the amplitude of the oscillation?

A block with a mass of 0.976 kg is attached to a spring of spring constant 428 N/m. It is sitting at equilibrium. You then pull the block down 5.10 cm from equilibrium and let go. What is the amplitude of the oscillation?

A block with a mass of 0.488 kg is attached to a spring of spring constant 856 N/m. It is sitting at equilibrium. You then pull the block down 5.10 cm from equilibrium and let go. What is the amplitude of the oscillation?

A block with a mass of 0.488 kg is attached to a spring of spring constant 428 N/m. It is sitting at equilibrium. You then pull the block down 10.2 cm from equilibrium and let go. What is the amplitude of the oscillation?

A block with a mass of 0.488 kg is attached to a spring of spring constant 428 N/m. It is sitting at equilibrium. You then pull the block down 10.2 cm from equilibrium and let go. What is the frequency of the oscillation?