Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score μ of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 10.4 . Suppose that, unknown to you, the mean score of those taking the MCAT on your campus is 495 .

In answering the questions, use z‑scores rounded to two decimal places.

(a) If you choose one student at random, what is the probability that the student's score is between 490 and 500 ? Use Table A, or software to calculate your answer.

(Enter your answer rounded to four decimal places.)

probability:

(b) You sample 25 students. What is the standard deviation of the sampling distribution of their average score ?¯? (Enter your answer rounded to two decimal places.)

standard deviation:

(c) What is the probability that the mean score of your sample is between 490 and 500 ? (Enter your answer rounded to four decimal places.)

probability:

STATE: How heavy a load (in pounds) is needed to pull apart pieces of Douglas fir 44 inches long and 1.51.5 inches square? Given are data from students doing a laboratory exercise.

To access the complete data set, click the link for your preferred software format:

Excel  Minitab  JMP  SPSS TI  R  Mac-TXT   PC-TXT  CSV CrunchIt!

We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume that characteristics of materials vary Normally. Suppose that the strength of pieces of wood like these follows a Normal distribution with standard deviation 3000 pounds.

PLAN: We will estimate μ by giving a 90% confidence interval.

SOLVE: Find the sample mean ?¯ . (Enter your answer rounded to the nearest whole number.)

?¯=

Give a 90% confidence interval, [low,high] , for the mean load required to pull the wood apart. (Enter your answers rounded to the nearest whole number.)

???=

ℎ??ℎ=

For this project, you will analyze the famous casino game, Roulette. In the game of Roulette, there is a wheel consisting of 38 numbers: 18 black numbers, 18 red numbers, and 2 green numbers (0 and 00). The wheel is spun and a ball is released into the wheel. As the wheel comes to a stop, the ball will land on one of the numbers. A player will place their bet before the wheel is spun. A player can make the following bets (along with other bets):

Single (or multiple) number

1^st, 2^nd or 3^rd column (e.g. 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34)

1^st, 2^nd or 3^rd dozen (e.g. 1 through 12)

Odd / Even (does not include 0 or 00)

Red / Black

1 through 18 or 19 through 36

Please answer the following questions based on the game of Roulette:

What is the probability of betting on all odds and winning?

What is the probability of betting on the 2^nd dozen and winning?

A player bets on the number 5 in the first game; then bets on number 22 in the second game. Did the player’s odds of winning change from the first to the second game? Explain.

What is a better bet: all reds or all evens? Explain. (Hint: 0 and 00 are not included in an all even bet)

If a player always bets on 00, what is the expected winnings (or loses) when playing 20 games of Roulette given the player receives $100 if they win and owes $1 if they lose?

If a player always bets on 3 and 23, what is the expected winnings (or loses) when playing 75 games of Roulette given the player receives $120 if they win (on either number) and owes $3 if they lose?

If a player always bets on the 2^nd dozen (13 to 24), what is the expected winnings (or loses) when playing 25 games of Roulette given the player receives $32 if they win and owes $15 if they lose?

If you are playing Roulette, how would you bet? Would you play a lot of games or try to win a lot on one or two games?

21. Rank these aqueous solutions from highest to lowest normal freezing point: I. 0.40 m NaCl II. 0.20 m MgCl2 III. 0.50 m Al(NO3)3 IV. 1.5 m C6H12O6 (1) II > I > IV > III (2) III > IV > I > II (3) II > I > III > IV (4) I > II > III > IV (5) IV > III > I > II

United Airlines has surveyed 50 random business travelers. The business travelers were asked to rate their overall satisfaction with their experience with United Airlines, where 10 was the highest rating. Using the tools in Excel, develop a 95% confidence interval estimate (mean, low, high) of the population mean rating for United Airlines.

Arrange the following 0.10 M
solutions from lowest to highest pH:
NaF, NaC2H3O2, C5H5NHCl, KOH, HCN.
(Ka for HCN is 6.2 × 10–10; Ka for HF is 7.2 × 10–4; Ka for HC2H3O2 is 1.8 × 10–5; and Kb for C5H5N is 1.7 × 10–9)
A) C5H5NHCl, HCN, NaF, NaC2H3O2,KOH
B) NaF, NaC2H3O2, HCN, C5H5NHCl, KOH
C) KOH, NaC2H3O2, NaF, HCN, C5H5NHCl
D) HCN, C5H5NHCl, NaF, NaC2H3O2, KOH
E) none of these

1) Which bond should have the highest interest rate?

2) Which of the following statements is NOT true?

3) What is the expected impact of a decline in the money supply to the US economy?

4) Which of the following is NOT a component of federal fiscal policy?

1. Haywood Company has fixed costs of $30,000 per month. Highest production volume during the year was in January when 110,000 units were produced, 90,000 units were sold, and total costs of $650,000 were incurred. In June, the company produced only 60,000 units. What was the total cost incurred in June?

5. Fedor, Inc. has prepared the following direct materials purchases budget:

All purchases are paid for as follows: 40% in the month of purchase, 50% in the following month, and 10% two months after purchase. Calculate total budgeted cash payments made in October for purchases.

6. Infinity Clock Company prepared the following static budget for the year:

If a flexible budget is prepared at a volume of 7800 units, calculate the amount of operating income. The production level is within the relevant range.

16. Pearl, Inc. has prepared the operating budget for the first quarter of the year. The company forecast sales of $45,000 in January, $55,000 in February, and $65,000 in March. Variable and fixed selling and administrative expenses are as follows:

Variable Expenses:

Power cost (20% of sales)

Miscellaneous expenses: (10% of sales)

Fixed Expenses:

Salaries expense: $6000 per month

Rent expense: $5000 per month

Depreciation expense: $1400 per month

Power cost/fixed portion: $600 per month

Miscellaneous expenses/fixed portion: $1200 per month

Calculate total budgeted selling and administrative expenses for the month of January.

Assume a major investment service has just given Oasis Electronics its highest investment​ rating, along with a strong buy recommendation. As a​ result, you decide to take a look for yourself and to place a value on the​ company's stock.​ Here's what you​ find: This​ year, Oasis paid its stockholders an annual dividend of ​$2.01 a​ share, but because of its high rate of growth in​ earnings, its dividends are expected to grow at the rate of 14​% a year for the next 4 years and then to level out at 11 % a year. So​ far, you've learned that the stock has a beta of 1.79​, the​ risk-free rate of return is 5​%, and the expected return on the market is 12​%. Using the CAPM to find the required rate of​ return, put a value on this stock.

Using the​ CAPM, the required rate of return on the investment is

17.53%. (Round to two decimal​ places.)

The value of the​ company's stock is $_____(Round to the nearest​ cent.)

1. Which would have the highest melting temperature?

A. TTAACCGGGCTA

B. CATAACAAATCA

C. CGCAATAATACA

D. CGTAATAATACA

D. CGCAACCATCCG

2. Select the ones that can be applied to PCR, there can be more than one right answer.

A. PCR can be used to obtain large quantities of a particular sequence of DNA

B. It can use short synthetic oligonucleotide primers

C. Fe2+ ions are needed for the DNA polymerase.

D. DNA polymerase can be used to synthesize DNA

E. Primers can be used and they are complementary to each other