Evan Schwartz has six jobs waiting to be processed through his machine. Processing time (in days) and due date information for each job are as follows:

Sequence the jobs by FCFS, SPT, SLACK, and DDATE. Calculate the mean flow time and mean tardiness of the six jobs under each sequencing rule. Which rule would you recommend?

Overall, the amount of work-hours involved in the festival preparation is normally distributed around 50 hours with a standard deviation of 6 hours.

a) What’s the probability that the mean number of work-hours will be between 20 and 30?

b) The members at or below the 15%ile of number of worked-hours must attend a one-on-one meeting with their supervisor. At least how many work-hours you should have in order to avoid attending such session?

c) How likely (what is the probability) is it to have the number of involved work-hours below 50?

d) How likely (what is the probability) is it that some employee will have his/her involved work-hours between 48 and 53?

e) Compute the upper 10%ile.

(Please type answers if possible--handwriting is hard to read)

For each probability and percentile problem, draw the picture.

Let X ~ Exp(0.15).

a. Sketch a new graph, shade the area corresponding to P(X < 7), and find the probability. (Round your answer to four decimal places.)

b.Sketch a new graph, shade the area corresponding to P(2 < X < 7), and find the probability. (Round your answer to four decimal places.)

c. Sketch a new graph, shade the area corresponding to P(X > 7), and find the probability. (Round your answer to four decimal places.)

d. Sketch a new graph, shade the area corresponding to the 40th percentile, and find the value. (Round your answer to two decimal places.)

e. Find the average value of X. (Round your answer to two decimal places.)

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.7 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 870 samples is 7.6 ppm. Assume a population standard deviation of 1.1. Does the data support the researcher's claim at the 0.02 level?

Step 1 of 6: State the null and alternative hypotheses.

Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places.

Step 3 of 6: Specify if the test is one-tailed or two-tailed.

Step 4 of 6: Find the P-value of the test statistic. Round your answer to four decimal places.

Step 5 of 6: Identify the level of significance for the hypothesis test.

Step 6 of 6: Make the decision to reject or fail to reject the null hypothesis.

" time headway" in traffic flow is the elapsed time between the time that one car finishes passing a fixed point and the instant that the next car begins to pass that point. Let X=the time headway for two randomly chosen consecutive cars on a freeway during a period of heavy flow. Suppose that in a different traffic environment, the distribution of time headway has the form

f(x)={k/x^5, x>=2

{0, x<2.

a) Determine the value of k for which f(x) is a reasonable pdf.

b) obtain the cumulative distribution function.

c) Determine the probability that headway exceeds 5 sec.

d) Find the expected value and the standard deviation of headway

I would like to know what factors influence the annual income of a person. What are some of the variables you will look for? How would you collect data on these variables? Is the data qualitative or quantitative? Remember that for each person you find the income of, you should be able to identify the value of the variable you mention above, in order to run a regression. For example, you can say annual income depends on Education. If you think of education as a qualitative variable, one value of the variable "education" may be "Undergraduate degree". You could also think of Education as a quantitative variable in which case, one value of the variable could be 10 years of education, and so on. Another example is character. You could say income depends on the character or personality type. But this variable is going to be hard to measure and hence "useless" in predicting income. So, come up with variables that you can actually collect data on.

Let's say I run a regression with income as the dependent variable and race as the independent variable. My results indicate that race is a "significant" variable. Then, I run another regression, again with income as the dependent variable. But this time with both race and education as the independent variables. My results now indicate that race is NOT a "significant" variable, but education is a significant variable. What is your conclusion from these results I obtained? What will be your next step? Does Race really affect income, or it has no influence? Each regression suggests one way or the other. So, are regressions even reliable?

please do not use any other chegg answers. in own words thank you

Native American (#1) [8.50, 9.48, 8.65 ]

Caucasian (#2) [8.27, 8.20, 8.25, 8.14]

alpha = 0.15

b. Test the difference between the two group means using a permutation test.

You will go ahead with your planned marketing campaign to 1 million prospects, if you think you can get a 1% response rate. Past campaigns show that a 1% response rate is about the norm you can expect. You did a test of a special list with 10,000 people and 105 people responded. What do you do? Discuss

1/ You measure 34 turtles' weights, and find they have a mean weight of 67 ounces. Assume the population standard deviation is 4.7 ounces. Based on this, construct a 90% confidence interval for the true population mean turtle weight.
Give your answers as decimals, to two places
( )± ( ) ounces

2/ Assume that a sample is used to estimate a population mean μμ. Find the margin of error M.E. that corresponds to a sample of size 6 with a mean of 42.5 and a standard deviation of 11.5 at a confidence level of 80%.
Report ME accurate to one decimal place because the sample statistics are presented with this accuracy.
M.E. =
Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

3/The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 56.7 for a sample of size 664 and standard deviation 11.2.
Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level).
Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
( ) < μμ < ( )

4/ You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures:

Find the 80% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).

80% C.I. =
Answer should be obtained without any preliminary rounding.

Answer should be obtained without any preliminary rounding.

Given a minimization problem, when you add another decision variable to the problem, you expect the optimum objective function value to ________? (Explain clearly as to why)

a.) stay the same

b.) increase

c.) decrease

1. The weights of items produced by a company are normally distributed with a mean of 5 ounces and a standard deviation of 0.2 ounces. What is the proportion of items that weigh more than 4.6 ounces?

2. What is the minimum weight of the heaviest 30.85% of all items produced?

3. Determine specifications (in ounces) that are symmetric about the mean that includes 90% of the weight of all items produced.

Suppose that X₁, X₂, X₃, X₄ is a simple random (independent and identically distributed) sample of size 4 from a normal distribution with an unknown mean μ but a known variance 9. Suppose further that Y₁, Y₂, Y₃, Y₄, Y₅ is another simple random sample (independent from X₁, X₂, X₃, X₄ from a normal distribution with the same mean   μand variance 16. We estimate μ with
U = (bar{X}+bar{Y})/2.

where

bar{X} = (X₁ + X₂ + X₃ + X₄)/4

bar{Y} = (Y₁ + Y₂ + Y₃ + Y₄+ Y₅)/5
a. (6 points) Determine the distribution of U.
b. (4 points) Build a 99% confidence interval for μ.
c. (6 points) Compute the coefficient of correlation between U and X₁ .

In estimating the average price of a gallon of gasoline in a region we plan to select a random sample (independent and identically distributed) of size 10. Let X₁, X₂, ... , X₁₀ denote the selected sample. The two estimators for estimating the average price, μ, are:

U₁ = (X₁ + X₂ + X₃ + X₄ + X₅ + X₆ + X₇ + X₈ +X₉ + X₁₀)/10
U₂ = (X₁ + X₂ + X₃ + X₄ + X₅ + X₆ + X₇ + X₈ )/8 + X₁ - X₂ .

a. (6 points) which of the above estimators are unbiased? Fully justify your answer.
b. (14 points) Using the mean square error criterion, determine which estimator is better.

Consider the value of t such that 0.1 of the area under the curve is to the left of t.

Step 2 of 2: Assuming the degrees of freedom equals 11, determine the t value. Round your answer to three decimal places.