1.         Below are the scores of employees hired 6 months ago for their performance on a cognitive ability test and job performance over the last 6 months. Calculate the Pearson's correlation coefficient (bivariate correlation) in an excel spread sheet. Assess the validity coefficient to see if the cognitive ability test they used is valuable for predicting job performance…discuss why the test is or isn't valuable to be used for selection.

2.         Two applicants take a selection test with a mean of 70, a standard deviation of 8, and a standard error of measurement of 9.75. Applicant A scores a 90 on the test while Applicant B scores a 95. What is the standardized score for Applicant A? How do you interpret this number?

3.         What is the standardized score for Applicant B? How do you interpret this number?

4.         What is the standardized score for an applicant scoring 65 on the test? How do you interpret this score?

5.         A job applicant scores 1.42 standard deviations above the mean on a test that has a mean of 25 and a standard deviation of 1.50. What is the job applicant’s raw score?

6.         Baldridge runs a simple regression using the scores on the cognitive ability test as a predictor of their current employees’ job performance. They find that the best fitting equation is:

ŷ = -2.368 + .079 (Cognitive Ability)

Calculate the predicted performance for each of the following job applicants, and determine who would have the highest performance score:

Sequential Method Eilers Company has two producing departments and two support departments. The following budgeted data pertain to these four departments: Support Departments Producing Departments General Factory Receiving Assembly Finishing Direct overhead $500,000 $170,000 $45,000 $75,000 Square footage — 2,700 5,400 5,400 Number of receiving orders 300 — 1,680 1,020 Direct labor hours — — 25,000 40,000 The support departments are ranked in order of highest cost to lowest cost. Required: 1. Allocate the costs of the support departments using the sequential method. (Use the rounded values for subsequent calculations. Round allocation ratios to four significant digits. Round allocated costs to the nearest dollar. If an amount is zero, enter "0".) Allocation ratios: General Factory Receiving Assembly Finishing Square footage fill in the blank 1 fill in the blank 2 fill in the blank 3 fill in the blank 4 Number of receiving orders fill in the blank 5 fill in the blank 6 fill in the blank 7 fill in the blank 8 Allocations: General Factory Receiving Assembly Finishing Direct overhead cost $fill in the blank 9 $fill in the blank 10 $fill in the blank 11 $fill in the blank 12 Allocate: General Factory fill in the blank 13 fill in the blank 14 fill in the blank 15 fill in the blank 16 Receiving fill in the blank 17 fill in the blank 18 fill in the blank 19 fill in the blank 20 Total $fill in the blank 21 $fill in the blank 22 $fill in the blank 23 $fill in the blank 24 2. Using direct labor hours, compute departmental overhead rates. (Round to the nearest cent.) Overhead Rate Assembly fill in the blank 25 per direct labor hour Finishing fill in the blank 26 per direct labor hour

(Python or C++)

We are going to implement the following scheduling algorithms that we discussed in class:

1. First-Come First-Served (FCFS)

2. Shortest Remaining Time First (SRTF)

3. Highest Response Ratio Next (HRRN)

4. Round Robin, with different quantum values (RR)

We are interested to compute the following metrics, for each experiment:

_ The average turnaround time

_ The total throughput (number of processes done per unit time)

_ The CPU utilization

_ The average number of processes in the ready queue

we need to generate its arrival time and its requested service time. We can assume that processes arrive with an average rate _ that follows a Poisson process

We will vary lambda to simulate different loads while keeping the average service time fixed. Then simulator should stop after processing 10,000 processes to completion (without stopping the arrival process), then it should output the statistics

An event que shall be made and update the current state after events. A priority que shall be made to make sure that events are kept in the right order and named event queue and keeps a time of the first event. The simulator should take few command-line arguments. The first is to indicate the scheduler, a 1

through 4 value based on the list above.

Also, it should take other arguments such as the average arrival

rate, the average service time, and the quantum interval (for RR). Running the simulator with no arguments,

should display the parameters usage.

We will vary the average arrival rate, _, of processes from 10 process per second to 30 processes per second

(based on a Poisson process). The service time is chosen according to an exponential distribution with an

average service time of 0.04 sec.

The output should also be printed into a seperate file for easy interpretation.

Q.1:

Use the NumPy’s random number generation to create an array of five random integers that represent summertime temperatures in the range 60–100, then perform the following tasks:

a. Convert the array into the Series named temperatures and display it.

b. Determine the lowest, highest and average temperatures.

c. Produce descriptive statistics for the Series.

Q.2:

Given the following dictionary;

temps = {'Mon': [68, 89], 'Tue': [71, 93], 'Wed': [66, 82], 'Thu': [75, 97], 'Fri': [62, 79]}

perform the following tasks:

a. Convert the dictionary into the DataFrame named temperatures with Low and High as the indices, then display the DataFrame.

b. Use the column names to select only the columns for Mon through Wed.

c. Use the row index Low to select only the low temperatures for each day.

d. Set the floating-point precision to 2, then calculate the average temperature for each day.

e. Calculate the average low and high temperatures.

Q.3:

Given the following array:  

array([[ 1,  2,  3,  4,  5],

       [ 6,  7,  8,  9, 10],

       [11, 12, 13, 14, 15]])

write statements to perform the following tasks:

a. Select the second row.

b. Select the first and third rows.

c. Select the middle three columns.

Q.4:

Use NumPy function arange to create an array of 20 even integers from 2 through 40, then reshape the result into a 4-by-5 array.

Q.5:

Use NumPy random-number generation to create an array of twelve random grades in the range 60 through 100, then reshape the result into a 3-by-4 array. Calculate the average of all the grades, the averages of the grades in each column and the averages of the grades in each row.

A basketball player was an 84% free throw shooter.

a. At the moment you turn the game on he is 5 of 7 shooting from the free-throw line. What is the probability that he made 5 of his first 7 shots?
b. What is the probability that he made his 5th shot on his 7th attempt?
c. What is the probability that he made his first shot on his third attempt?

A bank has kept records of the checking balances of its customers and determined that the population average daily balance of its customers is $300 with a population standard deviation of $48. A random sample of 144 checking accounts is selected.

2. Cars which are passing an automatic toll are modeled by a Poisson process with rate of 10 cars per hour. Some cars may violate with the probability of 0.5.

a. Calculate the probability that exactly 10 cars pass within an hour and all 10 have no violations?

b. For any fixed x ≥ 10, find the probability that x cars pass during the hour, of which 10 have no violations?

A diagnostic test is being developed to diagnose a new virus that has infected 10% of the world's population. If a person is infected with the virus, the probability that the diagnostic test comes back positive is 0.9 and if a person is not infected with the virus, the probability that the diagnostic test comes back positive is 0.25. Suppose a randomly seleted person is given the diagnostic test. Given that the test came back negative, find the probability that the person is infected with the virus.

A corporation has 35 manufacturing plants. Of​ these, 28 are domestic and 7 are located outside of the country. Each year a performance evaluation is conducted for 6 randomly selected plants.

a. What is the probability that the evaluation will include no plants outside the​ country?

b. What is the probability that the evaluation will include at least 1 plant outside the​ country?

c. What is the probability that the evaluation will include no more than 1 plant outside the​ country?

Suppose the current measurements in a strip of wire are assumed to follow a normal distribution with a mean of 10 mA and a variance of 4 (mA)^2.

a. What is the probability that a measurement will exceed 13 mA?

b. What is the probability that a current measurement is between 9 and 11 mA?

c. Determine the value for which the probability that a current measurement is below this value is 0.98.

Please show all steps and explanations. Thank you