he weights of apples are normally distributed with a mean weight of 100 grams and standard deviation of 15 grams. If an apple is selected at random, what is the probability that its weight is:

PLEASE USE THE "NORMDIST" FUNCTION IN EXCEL

a) more than 111 grams;

b) between 97 and 107 grams;

c) at most 99 grams;

d) less than 98 or more than 105 grams;

e) exactly 97.8 grams;

f) exactly 87.8 or 106.9 grams;

g) not 112 grams;

h) at least 117 grams.

A population of values has a normal distribution with μ=99.5 and σ=83.2. You intend to draw a random sample of size n=197. Please answer the following questions, and show your answers to 1 decimal place.

Find P77, which is the value (X) separating the bottom 77% values from the top 23% values. P77 (for population) =

Find P77, which is the sample mean (¯x) separating the bottom 77% sample means from the top 23% sample means. P77 (for sample means) =

A fair coin is tossed 25 times. What is the probability that at least 1 tail occurs?

a) 1

b) 0.00000075

c) 0.99999923

d) 0.00000003

e) 0.99999997

f) None of the above.

A business organization needs to make up a 5 member fund-raising committee. The organization has 9 accounting majors and 7 finance majors. What is the probability that at most 2 accounting majors are on the committee?

a) 0.0151

b) 0.0048

c) 0.3654

d) 0.0103

e) 0.3606

f) None of the above.

A classroom of children has 17 boys and 19 girls in which five students are chosen at random to do presentations. What is the probability that more boys than girls are chosen?

a) 0.4448

b) 0.0164

c) 0.3249

d) 0.1199

e) 0.4284

f) None of the above.

A toy manufacturer inspects boxes of toys before shipment. Each box contains 9 toys. The inspection procedure consists of randomly selecting three toys from the box. If one or more of the toys are defective, the box is not shipped. Suppose that a given box has two defective toys. What is the probability that it will be shipped?

a) 0.4365

b) 0.0833

c) 0.0714

d) 0.5833

e) 0.4167

f) None of the above.

Compute the probability distribution, expectation, and variance of the following random variable:

- Multipliying the result of rolling two dice.

Title: At the 99% confidence level, what is the proportion of teenagers who play tennis?

____ 3.- Out of a sample of 120 teenagers, 14 of them responded YES to the question “Do you play tennis?” To answer the question in the title:

We would calculate a confidence interval centered at p_hat with a margin of error of 2.576*sqrt(0.12*(1-0.12)/120).

We would calculate a confidence interval centered at p with a margin of error of 2.576*sqrt(0.12*(1-0.12)/120).

We would calculate a significance test with z=sqrt(0.12*(1-0.12)/120).

We would calculate a significance test with Ho: p_hat=0.12.

Both c and d.

Eric wants to estimate the percentage of elementary school children who have a social media account. He surveys 450 elementary school children and finds that 280 have a social media account.

Identify the values needed to calculate a confidence interval at the 99% confidence level. Then find the confidence interval.

Use the table of common z-scores above.

• Round the final answer to three decimal places.

1. Estimate the labor hours required for a household with a moving size of 2000 CuFt and 6 Large Furniture
2. Based on the model output, we can say that both the size of the move (CuFt) and number of large furniture moved are important considerations when estimating the total number of labor hours required. We can make this claim because

• The FSTAT (F in the ANOVA Table) = 228.80, p-value (Sig.) is 0.00 = True or False?
• p-value for the slope coefficient of number of large furniture is 0.00 = True or False?
• p-value for the slope coefficient of the size of the mode (CuFt) is 0.00 = True or False?

3. Two households have the same moving volume (Cu Ft). One house has 5 large furniture to move while the second house has 8 large furniture to move. The average extra labor hours required for the second house is:

The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days and a standard deviation of 14 days.

In what range would you expect to find the middle 50% of most pregnancies?
Between  and .

If you were to draw samples of size 60 from this population, in what range would you expect to find the middle 50% of most averages for the lengths of pregnancies in the sample?
Between  and .

Enter your answers as numbers. Your answers should be accurate to 1 decimal places.

3. What is resource leveling and what might be the benefits to the project of being able to resource level?

4. List and describe the key elements of an e effective group?

A psychology professor assigns letter grades on a test according to the following scheme. A: Top 10% of scores B: Scores below the top 10% and above the bottom 65% C: Scores below the top 35% and above the bottom 25% D: Scores below the top 75% and above the bottom 9% F: Bottom 9% of scores Scores on the test are normally distributed with a mean of 66.9 and a standard deviation of 9. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

The following table provides two risky assets for you to construct the investment opportunity sets based on the given correlation information.

Constructing investment opportunity sets

Complete the table of Risks and Returns of all the possible combinations.

For each correlation situation, insert a “Mean-Standard Deviation” chart and plotting the investment opportunity sets with varying weights on the two risky assets, then connecting the dots to show the curvature of each investment set.

Given a risk-free of 3%, draw a capital allocation line (CAL) to connect the risk-free rate and the “optimal portfolio” point on each curvature chart.

Please complete on excel and show work

An educational researcher wishes to know if there is a difference in academic performance for college freshmen that live on campus and those that commute. Data was collected from 267 students. Can we conclude that freshman housing location and academic performance are related? Location Average Below Average Above Average Total On campus 89 29 27 145 Off campus 36 43 43 122 Total 125 72 70 267 Copy Data Step 2 of 8 : Find the expected value for the number of students that live on campus and have academic performance that is average. Round your answer to one decimal place.

Project Questions

ANOVA

1. What type of experimental design is employed in this problem?

2. Identify the treatments and the dependent variable (Response).

3. Use a multiple boxplot in order to compare responses between different levels.

a. Are there differences between the mean of the responses in at least two of the levels?

b. Do you think this is the result of within-group variation or between-group variation?

4. State clearly the hypothesis that we are testing in this problem.

a. Set up the null and alternative.

5. Run ANOVA on the data and generate the output with plots.

a. Comment on the degree of freedom values for each source of variation. How do you calculate them?

b. Do we reject the hypothesis that we are testing? Why or why not?

i. If you reject, can you tell which level(s) is probably the one(s) that has the different mean? (Hint: use the boxplots from part 1a)

ii. If you are suspicious of only one level, repeat the ANOVA without that level and see if you fail to reject the null in the test.

b. Use the histogram of residuals to comment on the normality of error term (residuals) in this ANOVA model.

We roll two fair dice (a black die and a white die). Let
x = the number on the black die − the number on the white die,record x as the outcome of this random experiment.

(a) What is the probability space?