Test a Hypothesis Regarding Three or More Means Using One $\mathrm { H } _ { 0 } : \mu _ { \mathrm { green } } = \mu _ { \mathrm { blue } } = \mu _ { \mathrm { gray } } = \mu _ { \mathrm { red } }$

question 3

Multiple Choice

Test a Hypothesis Regarding Three or More Means Using One -Way ANOVA
-An industrial psychologist is investigating the effects of work environment on employee attitudes. A group of 20 recently hired sales trainees were randomly assigned to one of four different "home rooms" - five trainees per room. Each room is identical except for wall color. The four colors used were light green, light blue, gray and red. The psychologist wants to know whether room color has an effect on attitude, and, if so, wants to compare the mean attitudes of the trainees assigned to the four room colors. At the end of the training program, the attitude of each trainee was measured on a 60 -pt. scale (the lower the score, the poorer the attitude) . The data was subjected to a one-way analysis of variance. Give the null hypothesis for the ANOVA F test shown on the printout.

• A) \(\mathrm { H } _ { 0 } : \mu _ { \mathrm { green } } = \mu _ { \mathrm { blue } } = \mu _ { \mathrm { gray } } = \mu _ { \mathrm { red } }\), where the \(\mu _ { \text {'s represent mean attitudes for the four rooms } }\)
• B) \(\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 } = \mu _ { 3 } = \mu _ { 4 } = \mu _ { 5 }\), where the \(\mu _ { \mathrm { i } }\) represent attitude means for the ith person in each room
• C) \(\mathrm { H } _ { 0 } : \mathrm { x } _ { 1 } = \mathrm { x } _ { 2 } = \mathrm { x } _ { 3 } = \mathrm { x } _ { 4 }\), where the \(\mathrm { x } ^ { \prime }\) s represent the room colors
• D) \(\mathrm { H } _ { 0 } :\) Pgreen \(^ { \text {g } }\) Pblue \(=\) pgray \(^ { \text {gre } }\) pred, where the p's represent the proportion with the corresponding attitude

---

Definitions:

Market Price

The current exchange price for an asset or service in the marketplace.

Discount Rate

The interest rate used to determine the present value of future cash flows or to discount future obligations.

Maturity

The predetermined date on which a financial instrument, loan, or security reaches its final payment, at which point the principal amount must be repaid.

Zero-Coupon Bond

A debt security that doesn't pay periodic interest, sold at a discount from its face value, and repays the face value at maturity.