The pupil of the human eye can vary in diameter from 2.00 mm in bright light to 8.00 mm in dim light. The eye has a focal length of about 25 mm, and the visible spectrum extends from 390 nm (violet) to 750 nm (red). Note that the light-sensitive cells on the retina have radii ranging from 0.75 μm to 3.0 μm. What smallest Airy disk radius is possible for the eye? What largest Airy disk radius is possible for the eye?

Create the “Operating Section”of the statement of cash flows using the indirect method(ONLYTHE OPERATING SECTION).

Place your answer on this page(operating section only, indirect method).

Ques - Introduce the Hotelling’s rule using a two periods’ model and explain why it is in general dynamically efficient to follow the Hotelling’s rule. Explain everything with complete detail.

Consider the following simple script incorporating a for loop:

#!/bin/bash
RED='\033[0;31m'
NC='\033[0m'
clear; cd /home
for DIR in $HOME; do
#for DIR in *;do
CHK=$(grep -c "/home/$DIR" /etc/passwd)
if [ $CHK -ge 1 ]
then
echo -e "${NC}$DIR is good"
else
echo -e "${RED}ALERT! $DIR is NOT good!"
fi
done

What kind of script is presented above? How did you make your determination? What is the purpose of the script?

In lines #5/6, what is the type of $DIR?

In line #7, what is the value of $CHK?

In line #8, what are the instructions contained with the brackets known as?

Why are there two lines containing the word "for"? Which line will execute? Will that line execute correctly?

What should you do before running the script?

How could the script be factored into your duties as a sysadmin?

Researchers studying anthropometry collected body girth measurements

and skeletal diameter measurements, as well as age, weight, height and gender, for 507 physically

active individuals. The histogram below shows the sample distribution of heights in centimeters.

(a) What is the point estimate for the average height of active individuals? What about the

median?

(b) What is the point estimate for the standard deviation of the heights of active individuals?

What about the IQR?

(c) Is a person who is 1m 80cm (180 cm) tall considered unusually tall? And is a person who is

1m 55cm (155cm) considered unusually short? Explain your reasoning.

(d) The researchers take another random sample of physically active individuals. Would you

expect the mean and the standard deviation of this new sample to be the ones given above.

Explain your reasoning.

(e) The samples means obtained are point estimates for the mean height of all active individuals,

if the sample of individuals is equivalent to a simple random sample. What measure do we use

to quantify the variability of such an estimate? Compute this quantity using the data from

the original sample under the condition that the data are a simple random sample.

Use the AD/AS model to explain how a tax cut without a government spending decrease affects the economy in the short run and adjustment back to the steady state.

Please label your work correctly and make them as visible and coherent as possible.

1)In your own words, explain the Simpsons Paradox.

2)How does the coefficient of determination differ from the correlation coefficient?

3)Explain the difference between the empirical method and the classical method of calculating probabilities.

4) In your own words, describe what it means for two events to be mutually exclusive, or disjoint. Give an example of two events that are mutually exclusive/disjoint.

5) Explain the difference between correlation and causation. When is it appropriate to state that the correlation implies causation?

The statistics for the following examples can be computed by hand or using a statistical package. Gina and Ariely (2012) found in a series of studies that creativity was positively related to dishonest behavior, both when people are naturally creative and when they are stimulated to be creative. Suppose you want to know whether creativity is negatively related to integrity in an educational setting. You have students complete a creativity measure and report on their academic honesty (no plagiarism, completing work according to guidelines, no cheating on tests, supporting the institution’s honor code, etc.) The following table presents the data for your sample:

Table: Student ID 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15

Creativity 22,45,36,40,28,32,39,18,26,22,30,34,28,17,40

Academic Honesty 21.18.15.18.21.17.10.23.19.15.16.9.13.19.7

0. 1. After entering the data, graph the data in a scatterplot. What does the graph suggest about the relationship between creativity and academic honesty?
   2. Compute the appropriate test to determine whether self-reported creativity and academic honesty are negatively related.
   3. Can you reject the null hypothesis? Why or why not?
   4. What is the probability of a Type 1 error? Type II error?
1. Write a Results section for your findings. Include the descriptive statistics, statistical tests, and results of the tests.

10. Write a Discussion section for your findings. Include the findings, interpretation/explanation/implication of the findings, and possible next studies.