Study the data below and draw four charts to represent the data. Also calculate the descriptive statistics for the data and analyse the results. Also generate frequency curve graphs for income distribution of each ethnicity.                                                                                                                                

Further answer the following questions:                                                                               

1. Find the probability of a random participant picked from this group having an income of 75,000-100,000.
2. Find the probability of picking a random participant and finding that it is an Asian or a Hispanic.
3. Find the probability of picking a random participant who happens to belong in the income group of 150,000 to 200,000, being a Caucasian.
4. Find the probability distribution for the race of a random individual picked from the group with an income between 15,000 to 35,000
5. Find the probability of picking a random participant who belong to either the African American or Asian group, having an income between 50,000 to 200,000.

(All Data calculations must be done strictly on excel)

Consider a generalization of the inventory model of Sec. 3.2 in which unfilled orders may be backlogged indefinitely with a cost of b(u) if u units are backlogged for one period. Assume revenue is received at the end of the period in which orders are placed and that backlogging costs are charged only if a unit is backlogged for an entire month, in which case the backlogging cost is incurred at the beginning of that month. a. Identify the state space and derive transition probabilities and expected rewards.

An​ airline's public relations department says that the airline rarely loses​ passengers' luggage. It further claims that on those occasions when luggage is​ lost, 92 % 92% is recovered and delivered to its owner within 24 hours. A consumer group who surveyed a large number of air travelers found that only 137 of 169 people who lost luggage on that airline were reunited with the missing items by the next day. Does this cast doubt on the​ airline's claim? Explain

Indicate if the variable is discrete or continuous.

a) Total full-time employees

b) Agency name

c) The movie rating system (viz., G, PG, PG-13, etc.)

d) Health rating (0-100) for a restaurant

e) Hurricane level (1-5)

f) Ground wind speed of a hurricane

g) A final exam score for a class

h) Land use classification (such as residential, commercial, mixed use)

i) Drug treatment center name

j) Building permits filed by year

k) Property tax rate (millage)

l) Amount of lead in drinking water

m) Level of government (local, state, federal)

n) Number of visitors to a state park

o) Degree of a felony charge (1st, 2nd, 3rd)

p) Form of municipal government (commission, mayor-council, council-manager)

q) Management level (front, middle, senior)

r) Highest degree of education

s) Average training cost per employee

t) A state government’s bond rating

u) The inflation rate

v) Federal disaster area designation

A farmer wants to determine the mean number of eggs produced per month. A sample of 20 chickens shows they produce an average of 20 eggs per month with a sample Standard Deviation of 2 eggs per month. A. What is the point estimate of the population mean ? B. Why is a t distribution necessary? C. What assumptions must be made to use the t distribution? D. What is the value of t for a confidence interval ?e. What is the 95% confidence interval? F. Is it necessary to assume the population mean is 21 eggs? & why or why not ?

2. The strength of an association is one of the criteria for evaluating the cause and effect relationship between an exposure and outcome. Which of the following is a measure of the strength of association? (Choose one best answer and PROVIDE RATIONALE). (ONE POINT) A. odds of disease among exposed relative to the prevalence of exposure in the source population B. cumulative incidence among the exposed C. the ratio of odds of exposure among cases to the odds of exposure among the non-cases D. incidence rate among the exposed E. none of the above

4. Indicate which variable is the independent and dependent for each pair. If either could be the independent, answer “reciprocal.” If the two variables do not seem related, answer “unrelated.”

a) Property inspections completed, number of inspectors

b) Property tax rate, property value

c) Consumption of ice cream in a month, average daily temperature in a month

d) Satisfaction with local services, voting in a local election

e) Work commute time, time of day

f) Merit pay, work productivity

g) Flu cases per capita, average age of population

h) Road miles constructed, number of commuters

i) Husband’s income, wife’s income

j) Visitors to a state park, visitors to a nearby national park

k) Season of the year, number of animals dropped at a shelter

l) Drop-out rate from high school, teenage pregnancy rate

m) Donations to a local ballet, Sales tax rate

Have to answer a lab question on confidence intervals in health sciences. In using confidence intervals to make a decision or solve a problem in my job (nursing), or a life situation, include the following elements: Description of the problem or decision, how the interval would impact the decision and what level of confidence would be the most appropriate and why, and what data would be collected and how would you collect the data?

An investigation of past consumer surveys done by a company reveals that 2/3 of customers contacted respond to the survey. The marketing manager wants to do a new survey and plans to contact 198 customers.

(a) How many responses should the manager expect to receive?

(b) Give an approximation of the probability that 140 or more customers will respond.

(c) Give an approximation of the probability that 135 to 150 customers will respond.

(d) Give an approximation of the probability that 130 or less customers will respond.

(e) Compare your approximate answers with the exact probability values obtained on Excel.

Consider a sample space with 3 A’s and 2 B’s. Assume that each sample point is equally likely to be selected.

(a) What is the probability that a randomly selected set of 2 items will include all B’s?

(b) What is the probability that a randomly selected set of 3 items will include all A’s? 1

(c) What is the probability that a randomly selected set of 2 items will include 1 A and 1 B?

(d) What is the probability that a randomly selected set of 3 items will include 2 A’s and 1 B?

A random sample is selected from a population with mean μ = 102 and standard deviation σ = 10. Determine the mean and standard deviation of the x sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.)

(a) n = 11
μ =  
σ =  

(b) n = 14
μ =  
σ =  

(c) n = 37
μ =  
σ =  

(d) n = 65
μ =  
σ =  

(f) n = 130
μ =  
σ =  

(e) n = 520
μ =  
σ =