The price of a share of stock divided by the company's estimated future earnings per share is called the P/E ratio. High P/E ratios usually indicate "growth" stocks, or maybe stocks that are simply overpriced. Low P/E ratios indicate "value" stocks or bargain stocks. A random sample of 51 of the largest companies in the United States gave the following P/E ratios†.

(a) Use a calculator with mean and sample standard deviation keys to find the sample mean x and sample standard deviation s. (Round your answers to one decimal place.)

(b) Find a 90% confidence interval for the P/E population mean μ of all large U.S. companies. (Round your answers to one decimal place.)

(c) Find a 99% confidence interval for the P/E population mean μ of all large U.S. companies. (Round your answers to one decimal place.)

The price of a share of stock divided by the company's estimated future earnings per share is called the P/E ratio. High P/E ratios usually indicate "growth" stocks, or maybe stocks that are simply overpriced. Low P/E ratios indicate "value" stocks or bargain stocks. A random sample of 51 of the largest companies in the United States gave the following P/E ratios†.

(a) Use a calculator with mean and sample standard deviation keys to find the sample mean x and sample standard deviation s. (Round your answers to one decimal place.)

(b) Find a 90% confidence interval for the P/E population mean μ of all large U.S. companies. (Round your answers to one decimal place.)

(c) Find a 99% confidence interval for the P/E population mean μ of all large U.S. companies. (Round your answers to one decimal place.)

You are the newly appointed assistant administrator at a local hospital, and your first project is to investigate the quality of the patient meals put out by the food-service department. You conducted a 10-day survey by submitting a simple questionnaire to the 400 patients with each meal, asking that they simply check off that the meal was either satisfactory or unsatisfactory. For simplicity in this problem, assume that the response was 1,000 returned questionnaires from the 1,200 meals each day. The results are as follows:

a. Determine the p⎯⎯p¯ , S_p, UCL and LCL based on the questionnaire results, using a confidence interval of 95.5 percent, which is two standard deviations. (Round your answers to 4 decimal places.)

A program for generating random numbers on a computer is to be tested. The program is instructed to generate 100 single-digit integers between 0 and 9. The frequencies of the observed integers were as follows. At the 0.05 level of significance, is there sufficient reason to believe that the integers are not being generated uniformly?

(a) Find the test statistic. (Round your answer to two decimal places.)


(b) Find the p-value. (Round your answer to four decimal places.)

A cognitive psychologist is investigating the effects of giving imagery instructions on free recall. Eight subjects are given a free recall test with no imagery instructions, and another eight are given the same test after instructions on how to use imagery to link the words together. The number of words recalled for each group are as follows:
No Imagery: 8, 11, 7, 10, 9, 12, 8, 10
Imagery: 14, 15, 9, 16, 9, 13, 7, 12
What is the two-group t value for testing the null hypothesis that the population means for imagery instructions and no imagery instructions are the same?

Using Python:

1. Compute the difference of differences between consecutive numbers of a series:

input 
ser = pd.Series([1, 3, 6, 10, 15, 21, 27, 35])
 
output:
[nan, 2.0, 3.0, 4.0, 5.0, 6.0, 6.0, 8.0]
[nan, nan, 1.0, 1.0, 1.0, 1.0, 0.0, 2.0]

2. Compute the euclidean distance between two series:

Input: 

p = pd.Series([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
q = pd.Series([10, 9, 8, 7, 6, 5, 4, 3, 2, 1])

Desired Output: 

18.165

In C++

Write a function which takes two parameters: an array of ints and an int size of the array and prints every element greater than 5 to the screen. As an example, if the array has the following 10 elements: 2 5 8 9 7 1 0 2 6 3, your function should print out 8 9 7 6. You may assume that the parameters passed to the function are valid. Your function must have the following signature:

void printSome(const int array[], int size);

You do not need to demonstrate calling this function from main().

You are the manager of a new primary care clinic located about twenty five (25) miles outside of a small city (population of 50,000). With five (5) family physicians, two (2) nurse practitioners, two (2) physicians’ assistants (PAs), and twenty (20) clinical support staff consisting of RNs, LPNs, and CMAs, the clinic provides primary care services to a diverse community of people living and working outside the city limits. Originally a rural area, the community has been growing and now includes promising opportunities in employment, education, and comfortable living spaces for young families. However, there are still many residents who struggle to make ends meet with older farms that have belonged to families for generations. The central city includes two (2) large acute care facilities, and one (1) tertiary care facility that is known for its excellent pulmonary care. Both acute care hospitals provide the usual services such as labor and delivery, outpatient surgery, chronic diseases care, etc. and have fully equipped ancillary departments, such as lab and radiology. Up until this point, the residents have used the facilities’ emergency departments for routine illnesses and conditions when their private physicians were not readily available. Write a five to seven (5-7) page paper in which you: Analyze some of the key social, political, and economic factors that have led to the proliferation of urgent care facilities and primary care practices over the last 20-30 years. Create a comprehensive mission statement for the clinic, and discuss how it will facilitate the provision of quality services. Analyze and discuss one (1) or more directions the clinic might take to grow its business. Determine what factors you would consider when deciding what services to provide in-house and which ones to affiliate with other institutions. Decide how you will determine if the clinic is meeting its goals. Identify three (3) performance measurements you could use to evaluate the success of the clinic’s services. Begin by naming a goal, and then identify a quantifiable measurement you could use for each to determine if you are coming close or falling short of the goal. Determine how you would then address whatever opportunities for improvement seem to exist and what processes you would put in place. Use at least three (3) quality resources in this assignment. Note: Wikipedia and similar Websites do not qualify as quality resources. Format your assignment according to the following formatting requirements: Typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides. Include a cover page containing the title of the assignment, the student’s name, the professor’s name, the course title, and the date. The cover page is not included in the required page length. Include a reference page. Citations and references must follow APA format. The reference page is not included in the required page length.

Problem 4. Boral is the material composed of 50 % Al, 40 % B, and 10 % C by weight. Its density is 2.56 g/cm³. A beam of 0.025-eV neutrons with intensity of 5´10⁶neutrons/(cm²×s) strikes a target of 2.5 cm² in area made of the boral.

1. Calculate the atom densities of Al, B, and C in boral.
2. Calculate the macroscopic cross-sections S_a, S_s, and S_t for boral at the neutron energy 0.025 eV.
3. How thick must the boral target be in order to reduce the intensity of such neutron beam by a factor of 7 ?

It is known that 40% of American Idol winners become famous. A sample of 50 American Idol winners are randomly selected.

(a) [1] What is the probability that exactly 25 of them become famous?

(b) [1] Find the probability that at least 20 of them become famous.

(c) [2] What is the probability that between 17 and 27 (including both 17 and 27) of them become famous.

(d) [2] Find the expected number of American Idol winners become famous in this sample and its standard deviation.