# Numerical analysis homework help

## Lilly collects data on a sample of 40 high school students to evaluate whether the proportion of

**Lilly collects data on a sample of 40 high school students to evaluate whether the proportion of female high school students who take advanced math courses in high school varies depending upon**

## A car manufacturer claims that its vehicles average at least 24 miles per gallon, with a population standard

(1) A car manufacturer claims that its vehicles average at least 24 miles per gallon, with a population standard deviation of σ=3. We take a sample of n=16 cars to test fuel efficiency, and with to performance a one-sided hypothesis test of the manufacturer’s claim at a level of α=.025.

a. What is the critical value for the sample mean?

b. Suppose the answer to part a is 23 (it is not, but assume it is to do part b). If the true value of efficiency in the population is 22.5, what is the power of this hypothesis test?

## Suppose your instructor randomly surveyed his or her performance (i.e., students "graded" the teacher) this

**Suppose your instructor randomly surveyed his or her performance (i.e., students "graded" the teacher) this semester. The frequency of ratings are as follows: • A: 10 • B: 6 • C: 6 • D: 3 • F: 2 Please answer the following: a. Did your instructor, over many years of teaching, perform outstandingly? Why or why not? Provide analysis. b. Can you describe a chi-squared application in your profession?**

## Suppose there are two types of Penn State Sports fans: Rabid (R), and Casual (R’). These fans either view a

(1) Suppose there are two types of Penn State Sports fans: Rabid (R), and Casual (R’). These fans either view a big game Live (L) or at Home (L’). Suppose 60% of Penn State fans are both Casual and watch the games at Home. If a fan watches at Home, the probability that he/she is Casual is 95%. Finally, suppose 10% of fans are Rabid.

a. What is the probability of any fan watching the game at Home?

## Employee Salary Data Set - Week 3

Complete the problems included in the resources below and submit your work in an Excel document. Be sure to show all of your work and clearly label all calculations.

All statistical calculations will use the Employee Salary Data Set and the Week 3 assignment sheet.

Tanner, D. E., & Youssef–Morgan, C. M. (2013). Statistics for Managers. San Diego, CA: Bridgepoint Education, Inc. (book used for this course)

## Explore Correlation and Regression

You will submit one Word document. You will create this Word document by cutting and pasting SPSS output into Word. Please answer the questions first and include all output at the end of the activity in an Appendix.

Part A. SPSS Assignment

Part A of Assignment #3 has you familiarizing yourself with a set of data, providing you the opportunity to perform statistical tests and then interpret the output. You will rely on all you have learned to this point and add correlation and regression strategies to your skill set.

## Suppose there are two events, A and B. A and B are mutually exclusive. P(A)=.4, P(B)=.5. What is P(A’∩B’)

1.)Suppose there are two events, A and B. A and B are mutually exclusive. P(A)=.4, P(B)=.5. What is P(A’∩B’)?

2.)Suppose there are two elementary schools in a county. One school (A) loans all its students a laptop computer for use in classes. The other (B) does not. We would like to compare performance on a standardized test for the two groups of students.

## The Environmental Protection Agency releases figures on urban air soot in selected cities in the

The Environmental Protection Agency releases figures on urban air soot in selected cities in the

## Epidemiologists determined that source of an outbreak of food borne illness due to salmonella was ice cream

Epidemiologists determined that source of an outbreak of food borne illness due to salmonella was ice cream. They sampled 9 production runs from a company that produces ice cream and found that the sample mean and standard deviation of the level of salmonella in ice cream (MPN per gram) were .456 and .2128, respectively. Experience has shown that the level of salmonella is normally distributed, so they did a test of hypothesis to determine whether the mean level of salmonella in ice cream is greater than .3.

what is the appropriate test of hypothesis?

## According to the center for disease control and prevention, 20.6% of the U.S. population smoked in 2008. In 2010

According to the center for disease control and prevention, 20.6% of the U.S. population smoked in 2008. In 2010, a random sample of 650 American was selected, 124 of whom smoked.

Construct a 90% confidence interval to estimate the actual proportion of people who smoked in the United States in 2010.