Use R to load in the file “data.csv”. Assume that this is a random sample from some population with mean µ and variance σ 2 .

(a) Plot a histogram of the data.

(b) Compute a 95% confidence interval for the population mean µ using the formula

X ± (S/√ n)tn−1,.975.

(Hint: tn−1,.975 can be computed with qt(.975,df=n-1))

(c) Compute a p-value for the hypothesis H0 : µ = 5 versus HA : µ > 5, based on the test statistic T = X−5 S/√ n .

(Hint: The p-value can be computed using 1-pt(T,df=n-1))

(d) Based on the p-value, do we reject the null hypothesis at α = .01?

(e) What is the smallest significance level α for which we would reject the null?

Data set:

Using the accompanying Student Grades​ data, construct a scatter chart for midterm versus final exam grades and add a linear trendline. What is the​ model? If a student scores 70 on the​ midterm, what would you predict her grade on the final exam to​ be?

The sale records of a retail store are given in the Excel worksheet "Retail"

1. Using the moving average method with p = 3 most recent data, the forecast value at time t = 53 is:

a/ 12.34

b/ 10.50

c/ 11.15

d/ 11.32

2. Using the moving average method with p = 3 most recent data, the M A P E is

a/ 9.52%

b/ 39.23%

c/ 26.92%

d/ 40.45%

3. Using the exponential smoothing with alpha = 4, the smoothed SALE at time t = 10 is

a/ 8.87

b/ 9.81

c/ 12.92

d/ 13.15

4. Using the exponential smoothing with alpha = 4, the forecasted SALE at time t = 53 is

a/ 11.49

b/ 14.50

c/ 11.05

d/ 15.53

5. The value of M A D for using exponential smoothing with alpha = 4 to forecast is

a/ 3.66

b/ 2.29

c/ 4.34

d/ 8.76

1. There was a recession and the construction industry has been badly affected. As a result, Henry lost his job as a construction worker. He will be considered as part of:
   1. structural unemployment
   2. cyclical unemployment
   3. seasonal unemployment
   4. frictional unemployment
      
2. When the economy is at full employment, it means:
   1. no one is unemployed.
   2. there is no cyclical unemployment.
   3. there is cyclical or frictional unemployment.
   4. there is no structural or frictional unemployment.

3. When more labor is unemployed than the amount at the natural unemployment rate, then real GDP ________ potential GDP.
   1. is equal to
   2. is less than
   3. is greater than
   4. cannot be compared to
      
4. Which of the following describe the consumer price index (CPI)? It:

1. compares the cost of the typical basket of goods consumed in period 1 to the cost of a basket of goods typically consumed in period 2.
2. compares the cost in the current period to the cost in a reference base period of a basket of goods typically consumed in the base period.
3. measures the increase in the prices of the goods included in GDP.
4. is the ratio of the average price of a typical basket of goods to the cost of producing those goods.

Table 15.0

5. Refer to Table 10. Assume the market basket for the consumer price index has two products — bread and milk — with the following values in 2006 and 2013 for price and quantity: The Consumer Price Index for 2013 equals:
   1. 118.
   2. 116.
   3. 86.
   4. 85.

6. Suppose the CPI last year is 121 and the CPI this year is 137. The CORRECT method to calculate the inflation rate is:
   1. (137 - 121)/100 = 0.16.
   2. 137 × 121 = 258.
   3. [(137 - 121)/121] × 100 = 13.2.
   4. (137/121) × 100 = 113.2.
      
7. Which of the following describe the substitution bias that exists in the calculation of CPI? It:
   1. takes into account the substitution of goods by consumers when relative prices change.
   2. takes no account of the substitution of goods by consumers when relative prices change.
   3. substitutes quality changes whenever they occur without taking account of the cost of the quality changes.
   4. substitutes relative prices for absolute prices of goods.

John and Eric are childhood friends who went to school and university together. After graduation, John moved to Spain where he joined his family and started a business exporting authentic Spanish Artwork to clients around the World. Eric operates a retail store in Brazil, and the two friends agreed to start a business together. John would send artwork to Eric who would sell it in his store at a reasonable price. John shipped the Artwork by mail to ensure quick, timely delivery. Eric verbally agreed to pay John 30 days after shipment and they would split the profits equally, with each party getting 50 percent. 45 days after shipment, John contacted Eric to see how things were progressing. Eric informed John that the Artwork had not sold. He indicated some potential buyers had shown interest, but thought the art was priced too high. A month later, John called Erik to follow up and collect funds. Eric mentioned he had no cash on hand and his financial situation made it impossible to make any payments for the moment. Eric gave John the option to either take the frames back or sell them at cost. John is unable to obtain assistance from any of his friends and lawyers as there are no written contractual agreements signed. 4 months later, John followed up one last time. Eric mentioned he sold the frames for 25 percent of the asking price, and he did not transfer any funds for payment of artwork and additional costs. John lost $9,000 worth of goods and a friend that he trusted.

. What mistakes did John make during his negotiation that led to this loss? *

2. Is there anything John can legally do now to minimize his loss in this transaction? *

3. How would you negotiate differently in a similar future transaction to avoid this situation at the end? *

When your company bought a new spectral analyzer, you arranged to pay for it with two payments:

• $10,000 two months ago, and
• $8,000 one month from today.

You only paid $6,000 two months ago and you won’t be able to make your payment one month from now. You have arranged with the seller to settle your debt by making two equal payments:

• the first payment 4 months from now, and
• the second payment 7 months from now.

Part A: How much will each of the equal payments be if the seller is charging 9% simple, with a focal date 4 months from today? (Your work must include a complete time-line diagram.)

Part B: How much extra interest will you have to pay for not making the originally planned payments?

PLEASE ANSWER ALL QUESTIONS. Round to the fourth decimal place.

1). Two point charges, q₁= +10 nC and q₂= +1 nC, are located on the x-axis at x= 0 and x=5.00 m. What is the electric field at point x=1.80 m?

2). Two point charges, q₁= +7 nC and q₂= -5 nC, are located on the x-axis at x= 0 and x=5.00 m. What is the electric field at point x=3 m?

3).Two charges, one is + 30 nC and other is -2* 30 nC are separated by 1 m distance. What is the electric field at the mid point of the line joining the charges?

4).Two charges, one is - 34 nC and other is 2* 34 nC are separated by 2 m distance. What is the electric field at the mid point of the line joining the charges?

I have a question on an excercise from Cost Management, Blocher,, 7 ed. book.

You are currently trying to decide between two cost structures for your business: one that has a greater proportion of short-term fixed costs and another that is more heavily weighted to variable costs. Estimated revenue and cost data for each alternative are as follows: