A survey of the mean number of cents off that coupons give was conducted by randomly surveying one coupon per page from the coupon sections of a recent Rockford newspaper. The following data were collected: 20¢; 75¢; 50¢; 75¢; 30¢; 55¢; 10¢; 40¢; 30¢; 55¢; $1.50; 40¢; 65¢; 40¢. Assume the underlying distribution is approximately normal. Construct a 95% confidence interval for the population mean worth of coupons. Find the lower limit of the confidence interval. Enter it rounded to the nearest cent (2 decimal places)

If the annual demand for a specific product is 14,000, the annual holding costs is 0.50 per unit, and the ordering cost per order is is 50, what is the Economic Order Quantity? Round to the nearest whole number (e.g. 234.3845 would be "234").

BONUS: In addition to answering below (for IW credit) on a sheet of graph paper NEATLY graph Ordering Costs, Carrying Costs, and Total Costs for the following problem. Turn in your hand-written graph at the beginning of the first class period of week 14 for a 25% bonus on the week 14 quiz. HINTS: 1) each of your curves should go well above the EOQ; 2) start your axis labels by putting the EOQ in the middle of the x-axis to make your graph fit best. Carrying Costs are linear, so it only takes two points to make that line; OC and TC lines are non-linear, so you'll need to plot several points for each and then draw a "smoothed" line neatly by hand. Show values on the axes that match the problem above.

Your Answer:

Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, r_ƒ. The characteristics of two of the stocks are as follows:

Consider a normal distribution with a mean of 50 and standard deviation of 10. Which of the following is FALSE?

Question 4 options: P(x<=50) = .50

P(x>=40) = 1-P(x<40)

P(x<=20)+P(x<=20) = P(x<=40)

P(x<=30) = P(x>=70)

As preparation for the final research paper, you formulated a theory about the correlation between measurable independent variables (causes) and one measurable dependent variable (the effect). Be sure to have at least two independent variables for proposed research paper. This rough draft should include the following four items which serve as the foundation for the final research paper after instructor feedback is given.

Submit this Word File in this Canvas section for your Term Project Rough Draft, with Data.

The dependent variable for this study Major League Baseball’s (MLB) Player Salary is determined by independent variables such as player’s batting average (AVG), on-base plus slugging (OPS), and runs batted in (RBI). The most important independent variable in this relationship is OPS because if the player has a high rate of reaching base it contributes to the player’s AVG and RBI.

I plan to utilize the model below:

Player’s annual salary: b0+b1AVG+b2OPS+b3RBI

Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x of a 1-year old baby and the weight y of the mature adult (30 years old)? A random sample of medical files produced the following information for 14 females.

In this setting we have Σx = 302, Σy = 1771, Σx² = 6690, Σy² = 225,153, and Σxy = 38,391.

What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
%

Find or estimate the P-value of the test statistic.

P-value > 0.2500.125 < P-value < 0.250    0.100 < P-value < 0.1250.075 < P-value < 0.1000.050 < P-value < 0.0750.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.0100.0005 < P-value < 0.005P-value < 0.0005

Conclusion

Reject the null hypothesis. There is sufficient evidence that ρ > 0.Reject the null hypothesis. There is insufficient evidence that ρ > 0.    Fail to reject the null hypothesis. There is sufficient evidence that ρ > 0.Fail to reject the null hypothesis. There is insufficient evidence that ρ > 0.

(e) If a female baby weighs 16 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.)
lb

(f) Find S_e. (Round your answer to two decimal places.)
S_e =

(g) Find a 95% confidence interval for weight at age 30 of a female who weighed 16 pounds at 1 year of age. (Round your answers to two decimal places.)

(h) Test the claim that the slope β of the population least-squares line is positive at the 1% level of significance. (Round your test statistic to three decimal places.)

t =

Find or estimate the P-value of the test statistic.

P-value > 0.2500.125 < P-value < 0.250    0.100 < P-value < 0.1250.075 < P-value < 0.1000.050 < P-value < 0.0750.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.0100.0005 < P-value < 0.005P-value < 0.0005

Conclusion

Reject the null hypothesis. There is sufficient evidence that β > 0.Reject the null hypothesis. There is insufficient evidence that β > 0.    Fail to reject the null hypothesis. There is sufficient evidence that β > 0.Fail to reject the null hypothesis. There is insufficient evidence that β > 0.

(i) Find an 80% confidence interval for β and interpret its meaning. (Round your answers to three decimal places.)

Interpretation

For each pound less a female infant weighs at 1 year, the adult weight increases by an amount that falls outside the confidence interval.For each pound less a female infant weighs at 1 year, the adult weight increases by an amount that falls within the confidence interval.    For each pound more a female infant weighs at 1 year, the adult weight increases by an amount that falls within the confidence interval.For each pound more a female infant weighs at 1 year, the adult weight increases by an amount that falls outside the confidence interval.

FastTrack​ Bikes, Inc. is thinking of developing a new composite road bike. Development will take six years and the cost is $202,800 per year. Once in​ production, the bike is expected to make $291,075 per year for 10 years. The cash inflows begin at the end of year 7.

For parts​ a-c, assume the cost of capital is 10.9%.

For parts​ d-f, assume the cost of capital is 14.1%.

a. Calculate the NPV of this investment opportunity.

If the cost of capital is 10.9%​, the NPV is $ ___ . (Round to the nearest​ dollar.)

Should the company make this​ investment?  ​(Select the best choice​ below.)

A. Accept the investment because the NPV is equal to or less than zero​ ($0).

B. Reject the investment because the NPV is less than zero ($0).

C. Accept the investment because the NPV is equal to or greater than zero ($0).

D. Reject the investment because the NPV is equal to or greater than zero​ ($0).

b. Calculate the IRR and use it to determine the maximum deviation allowable in the cost of capital estimate to leave the decision unchanged.

The IRR is ___ ​%. (Round to two decimal​ places.)

If the cost of capital is 10.9%​, the maximum deviation is ___ ​%. (Round to two decimal​ places.)

c. How long must development last to change the​ decision?

For the decision to​ change, development must last ___ years, or longer. ​ (Round to two decimal​ places.)

d. Calculate the NPV of this investment opportunity. Should the company make the​ investment?

If the cost of capital is 14.1%​, the NPV is $ ___ . (Round to the nearest​ dollar.)

Should the company make the​ investment?  ​(Select the best choice​ below.)

A. Accept the investment because the NPV is equal to or greater than zero ($0)

B. Accept the investment because the NPV is equal to or less than zero​ ($0).

C. Reject the investment because the NPV is less than zero ($0).

D. Reject the investment because the NPV is equal to or greater than zero​ ($0).

e. How much must this cost of capital estimate deviate to change the​ decision?

The maximum deviation is __ ​%. (Round to two decimal​ places.)

f. How long must development last to change the​ decision?

For the decision to​ change, development must last no longer than __ years