Test whether there are any significant differences

Reference no: EM13154894

2. A developmental psychologist is examining problem-solving ability for grade school children. Random samples of 5-year-old, 6-year-old, and 7-year-old children are obtained with n =three in each sample. Each child is given a standardized problem-solving task, and the psychologist records the number of errors. The data are as follows:

________________________________________________
___5-year-olds________6-year-olds______7-year-olds____
5 6 0
4 4 1 G=30
6 2 2 ΣX2 = 138
________________________________________________
T = 15 T = 12 T = 3
SS = 2 SS = 8 SS = 2
________________________________________________

a. Use these data to test whether there are any significant differences among the three age groups. Use α = .05.
SSbetween= ? T2/n - G2/N
= 152/3 + 122/3 + 32/3 - 302/9
=75+48+3 -100
=26

MSbetween=26/2=13
SSwithin = 2+8+2=12
MSwithin = 12/6=2
F=13/2=6.5
Fcritical = 5.14
6.5>5.14

Therefore, these data are sufficient to conclude that there are significant differences among the three ages at α = .05
b. Use the Scheffé test to determine which groups are different.

Reference no: EM13154894

Questions Cloud

How much will this firm produce : Now suppose one big firm comes and buys out all of the firms in the cartel. This monopoly somehow miraculously is able to perfectly price discriminate. How much will this firm produce? What will be the deadweight loss created by this monopoly?

How an organization plans strategically : What analysis might a manager do to learn more about a specific company or industry? Please provide at least three examples. What role does trade have pertinent to how an organization plans strategically?

Prepare the journal entry : Jurassic Company owns equipment that cost $1,867,500 and has accumulated depreciation of $788,500. The expected future net cash flows from the use of the asset are expected to be $1,037,500. The fair value of the equipment is $830,000.

A manufacturer of computers claims : A manufacturer of computers claims its batteries last an average of 3.5 hours before needing recharging. For a sample of 10 batteries, the mean life was 3 hours and the standard deviation

Test whether there are any significant differences : Use these data to test whether there are any significant differences among the three age groups. Use α = .05. SSbetween= ? T2/n - G2/N = 152/3 + 122/3 + 32/3 - 302/9

Three primary causes of cash flow problems : 1. What are the three primary causes of cash flow problems faced by a small business? Explain cash flow management using the cash-to-cash cycle. What are the three sources from which cash can be obtained for a business?

There is significant evidence : There is significant evidence, alpha =0.05, to show that there is a difference in the proportions of patients who show improvement between treatments 1 and 2

Determine the cost of head lamps : Determine the cost of head lamps that would appear in each of the following accounts at September 30, 2011: Raw Materials, Work in Process, Finished Goods, Cost of Goods Sold, and Selling Expenses.

Determining liability for outstanding premiums : In 2008, the company sold 675,000 boxes of Frosted Flakes and customers redeemed 330,000 box tops receiving 110,000 bowls. If the bowls cost Milner Company $2.50 each, how much liability for outstanding premiums should be recorded at the end of 20..

User Account

All Pages