According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $109.54. Assume the amounts are normally distributed with standard deviation $25.00. Use the TI-84 Plus calculator to answer the following.

(a) What proportion of bills are greater than $132?

(b) What proportion of bills are between $90 and $145?

(c) What is the probability that a randomly selected household had a monthly bill less than

$129? Round the answers to at least four decimal places.

The weight of male babies less than 2 months old in the United States is normally distributed with mean 12.3 pounds and standard deviation 3.8 pounds.

(a) Find the 84 th percentile of the baby weights.

(b) Find the 11 th percentile of the baby weights.

(c) Find the third quartile of the baby weights.

Use the TI-84 Plus calculator and round the answers to at least two decimal places.

The data below is a random sample of 3 observations drawn from the United States population. Use the data to answer the following questions

i. Find 95% confidence intervals of the population mean of experience and wage.

ii. Estimate ρe,w, the correlation between the variables experience and wage.

iii. Find βˆ 1 and βˆ 0, the estimates of the parameters in the following regression equation wage = β0 + β1education + ϵ

iv. Predict wages for a person with 15 years of education using your regression estimate.

v. Find the R2

wage education

16.20 12

12.36 13

14.40 12

12.00 12

Please show work

The unemployment rates in the United States during

1. A ten year period is given in the following table. Use exponential smoothing to find the best forecast for next year. Use smoothing constants of 0.2, 0.4, 0.6, and 0.8. Which one had the lowest MAD?

Examine two (2) efforts at health reform in the United States that occurred during the 1900s. Determine the major political and social factors that influenced the outcomes for each. Support your rationale with specific examples of such influence.

Compare and contrast at least two (2) pros and cons of developing a state health insurance exchange. Speculate on which exchange you believe would be most beneficial for the majority of the insured in your state. Provide support for your rationale.

Provide references

16. In the United States, there has historically been a strong relationship between smoking and education, with well-educated people less likely to smoke. To examine whether this pattern has changed, a sample of 187 high school graduates, a sample of 139 College graduates, and a third sample of 133 graduate school graduates were selected at random from those who had visited a health center for a routine check-up over the course of the past year. Smoking Status Education Nonsmoker Former Moderate Heavy Total High School 56 54 41 36 187 College 37 43 27 32 139 Graduate 53 28 36 16 133 Total 146 125 104 84 459

What type of the chi-square test for this two-way table should be conducted?

What are the degrees of freedom for the chi-square test for this two-way table? What is the p-value and test statistic for the chi-square test for this two-way table? What conclusion can you make?

According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $108.99 . Assume the amounts are normally distributed with standard deviation $19.00 .

(a) What proportion of bills are greater than $133 ?

(b) What proportion of bills are between $82 and $140 ?

(c) What is the probability that a randomly selected household had a monthly bill less than $119 ? Round the answers to at least four decimal places.

9.) Taxation, Distribution of Income and Resource Allocation

The United States declared a “War on Poverty” in 1964, and within a decade the fraction of families below the official poverty line had dropped substantially. Today, the richest 20 percent of households receive more than 50 percent of the income, whereas the poorest 20 percent of households receive less than 3.5 percent. In what ways do individual incomes differ? Why has the poverty rate increased since the 1970?

2. A team of market researchers conducted a study involving 200 inhabitants of the United States to determine what people fear most. The gender of each person polled was noted, and then each was asked which of the following was his or her greatest fear: speaking before a group, heights, bugs/insects, financial problems, sickness/death, and other. The results of the poll are given in the table. Do the data provide sufficient evidence to indicate a relationship between gender and greatest fear? Test at the a=.05 level.