Question ONE:

firstsecondthirdTotal

cooks25302075

26.6725.0023.33

0.1041.0000.476

cleaning35202075

26.6725.0023.33

2.6041.0000.476

Waiters20253075

26.6725.0023.33

1.6670.0001.905

Total807570225

Chi-Sq = 9.232, DF = 4, P-Value = 0.056

A researcher is interested in whether or not a significant trend exists regarding the popularity of certain work shifts among her employees: cooks, cleaning, and wait-staff. A random sample of 75 from each job category is selected. The responders are asked to indicate which of three work shifts they preferred. The results are given above for each shift by job category. Do the results deviate significantly from what would be expected due to chance?Show your work. Explain your answer.

Question TWO:

3000 on campus apartments are available for newly enrolled students. Of the 10,000 students enrolled 85% are from the state "resident" and 15% are listed as "non-resident".You want to know if an equal portion of incoming resident and non-resident students newly enrolled request on campus housing.

Write the null and alternate hypothesis.

Ho:

Ha:

Question THREE:

Given the mean height of centennial rose bushes is feet and the standard deviation is feet: write the null and alternative hypotheses you would test to answer whether the mean height for all centennial rose bushes is now more than 4 feet.

Ho:

Ha:

Question FOUR:

Your printer has skipped - you are to fill in the missing values on the chart below:

source

DF

SS

MS

F

P

factor

1

326780

error

773135

total

29

1099916

Question Five:

List the Assumptions for Linear Regression

State whether a linear model is appropriate for based on the Residual Plots below. (Explain in detail why/why not).