3. The table below lists the sound intensities and the decibel scale values.

a. Construct a scatterplot and select the appropriate model(s).

b. Find R² for each selected model(s) and write down the equation for the model with the largest R².

c. Use the equation in (b) to predict the scale value for the sound intensity of 9000.

A national chain of clothing goods stores recently sent shipments to the following stores. The number of items shipped to each store and their total wholesale cost is shown in the table below. Find the wholesale price of one of each item.

JEANS JACKETS SWEATERS SHIRTS TOTAL COST

4000 4000 2300 4100 592,525

3700 3500 2200 4300 547,825

5000 2000 1500 6500 499,625

6000 1700 700 7000 485,550

a) State two properties of a
i) Binomial experiment ii) Normal distribution
[6 Marks] [1 Mark]
[2 Marks] [2 Marks]
b) If the probability that an individual suffers a bad reaction from injection of a given serum is 0.001, use the Poisson law to calculate the probability that out of 2000 individuals
i) Exactly 3 individuals will suffer a bad reaction. [3 Marks] ii) More than 2 individuals will suffer a bad reaction.

Market demand for lifetime sales of the product is P=12000-2Q. Research and development fixed cost of $2000000. Its mariginal cost are $1000 for the first 1500 impants. From 1501st implant onwards marginal cost increase to $2000 as they have to pay overtime charges.

Monopolies lead to a welfare loss compared to perfect competition. Calculate this "deadweight loss" of Monopoly.

Should government always try to elimate monopolised markets? Why or why not?

A sale was made for $22,000 and the sales tax rate is 6%. What is included in the journal entry to record this sale?

- credit to sales tax payable for 1320

-debit to cash for 22000

-debit to sales discount for 1320

-credit to sales revenue for 23200

If $12,000 is collected in advance on November 1st for 6 months' rent. What amount of rent revenue should be recognized by December 31?

- none, it will be recognized at the end of 6 month

- 2000

- 4000

-12000

Houston TX has about twice as many residents as Dallas TX. A pollster took a random sample of 1000 residents of Dallas and asked them whether or not they favored more drilling for oil. If the same question were asked of residents of Houston, how many residents would the pollster need to randomly sample to have the same margin of error as the poll in Dallas? (Choose the option closest to the correct answer.)   

a. 1000 b. 500                          c. 2000

• Ever wonder why a survey of the American population often has what seems like a very small sample size? 2000 people can tell us what the American population is thinking about. We have formulas to calculate an appropriate sample size for both estimation of the mean and estimation of the proportion. How do they work and why do we need so few to tell us what so many might be thinking?

You are assigned to design the decision table of the year-end bonus. Everyone has a basic amount of $500. Anyone who worked for over 5 years would have an addition $2000. Anyone who got top sales at any month during the year would have an extra $1000. However, if anyone who got a warning from the company would drop all the bonuses. Draw the decision table based on the above information.

The isothermal reaction of A to B is a first order reaction in A. A 5,000 liter plug flow reactor is fed with A at concentration of 4 gmol/liter and volumetric flow of 800 L/min. At these conditions the conversion of A is 95%. We have two CSTRs that are 2000 and 7000 liters and can be place in series to replace the PFR.

a. Can the two CSTR’s in series provide 95% conversion in replacement of the PFR? Select a configuration for the two CSTRs and support your conclusion with calculations.

A solid shaft is designed to twist no more than an angle of 2º when subjected to a torque of 800 Nm. The shaft is 1 m long and made from a material that has a shear modulus, G = 70 GN/m². Select an appropriate minimal diameter for the design specifications if

1. Solid shaft was used.
2. Hollow shaft of wall thickness 5mm was used.
3. If the shaft is to rotate at 2000 rpm, determine the maximum power that can be transmitted by the HOLLOW shaft.