A sample of 30 fast food restaurants were visited the time between pulling up to the order kiosk and receiving the order was recorded. The sample had a mean of 3.8 and a sample standard deviation of 2.257. (Show your work in detail)

A. (10 pts ) construct a 90 %confidence interval estimate of the population mean, and comment on the results

B.(10 pts) construct a 95%  confidence interval estimate of the population mean,

and comment on the results

C (10 pts) Now Assume the population standard deviation is known and is equal to 1.2. construct a 95% confidence interval of the population mean

. (25 pts) Five different analysts measures the additives in 3 similar brands of snacks and the data is represented below.

Analyst 1 Analyst 2 Analyst 3 Analyst 4 Analyst 5

B: 2.7 C: 7.5 B: 2.8 A: 1.7 C: 8.1

C: 3.6 A: 1.6 A: 2.7 B: 1.9 A: 2.0

A: 3.8 B: 5.2 C: 6.4 C: 2.6 B: 4.8

Are the amount of additives equal in for all of the three brands? Test this claim at 5% significance level by using randomized complete block ANOVA and interpret your result.

1) What is the pH of a buffer solution that is 0.255 M in hypochlorous acid (HClO) and 0.333 M in sodium hypochlorite? The Ka of hypochlorous acid is 3.8 × 10-8.

2) What is the pH of a solution prepared by mixing 25.00 mL of 0.10 M CH3CO2H with 25.00 mL of 0.040 M CH3CO2Na? Assume that the volume of the solutions are additive and that Ka = 1.8 × 10-5 for CH3CO2H.

3) What is the pH of a buffer system prepared by dissolving 10.70 grams of NH4Cl and 35.00 mL of 12 M NH3 in enough water to make 1.000 L of solution? Kb = 1.80 × 10-5 for NH3.

A student researcher conducted a new study (N=10) on intelligence using a newly created measure, the IQ-5000 and wanted to compare his results to a similar study that used a different, but the commonly used measure, the WAIS. Both studies indicated that intelligence is normally distributed, but the student wanted to convert scores into z scores for comparison. After converting the scores in his study to z scores, he got the following: -4.7, 4.8, 0.9, -6.5, 3.1, -2.8, -5.3, 7.2, -0.5, 3.8. Does it seem like his z score conversion was correct? Yes/No – explain why or why not.

You are financing a new home. The loan is for $173,000 and you are getting rate of 3.8% per year compounded monthly. You have decided on a 15 year mortgage and will make monthly payments (end of the month). To get the ball rollng, you are working extra hours and expect to pay an extra $300 per month to knock down the principle. You make these payments for 3 years starting on month 1. The last payment is on month 36.

Build the amortization table. What month will you make your last payment? How much will the last payment be?

Show work

a.) What is the total percentage return for an investor who purchased a stock for $5.12, received $2.2 in dividend payments, and sold the stock for $8.3?

b.)  A stock has monthly returns of 21%, -7%, 16%, and 24%. What is the stock’s geometric average return?

c.) A stock had the following annual returns: 23%, 6%, 24%, and -10%. What is the stock's expected return, variance, and standard deviation? (Show your answer to 4 decimals)

d.) A stock has an expected return of 3.8% and a standard deviation of 13.5%. What is the 68%, 95%, and 99% confidence interval for this stock?

The following data represent the results from an independent-measures study comparing two treatment conditions.

Using technology, run the One-way ANOVA Test for this data:
F-ratio:  
p-value:  

Now, run the Two Independent Sample t test on the same data:
Note: Do this with "pooled variances" since one assumption we make with ANOVA is that the variances for each group are equal.
t-statistic:  
p-value:  

What is the duration GAP of a bank whose assets and liabilities are as follows?

Assets:
Cash $52 million
Short-term Investments (D=0.4) $153 million
Short-term Loans (D=0.8) $201 million
Long-term Investments (D=3.8) $247 million
Long-term Loans (D=5.2) $400 million

Liabilities:
Demand Deposits $46 million
Short-term Interest-bearing Deposits (D=0.3) $592 million
CDs (D=2.8) $148 million
Borrowed funds (D=0.1) $151 million

Round to three decimals.

You bought one of Colton Manufacturing Co.’s 5.4 percent coupon bonds one year ago for $1,053. These bonds make annual payments and mature twelve years from now. Suppose you decide to sell your bonds today when the required return on the bonds is 4.5 percent. The par value is $1,000. If the inflation rate was 3.8 percent over the past year, what would be your total real return on the investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Investment Analysis

To finance the purchase of a multifamily property 12 years ago, your investment group took a 40-year fixed-rate mortgage (FRM) at an annual interest rate of 3.8%. You are making a payment of $10,000 per month for this mortgage.

A) What is the initial loan amount? (5 points)

B) Suppose this loan is a conventional loan that required an initial 80% LTV. What was the purchase price of the property? (5 points)

C)How much of the next (i.e. t=145) monthly payment will go towards interest and principal? (10 points)

(Please how work and calculations)