Question

PROBLEM #1 Suppose Henry’s Caps and Tops has designed a new Spring Break shirt with a...

PROBLEM #1

Suppose Henry’s Caps and Tops has designed a new Spring Break shirt with a choice of four different marine life on the back of the shirts.  His marketing managers would like to conduct a test to determine the customers’ preferences of marine life.  Six people were asked to look at the designs and rate each design on a scale of 1-20.  The results are as follows:

Marine Life

Person

Shark

Turtle

Dolphin

Manatee

1

19

20

12

17

2

18

17

17

18

3

17

18

16

19

4

13

19

12

14

5

10

13

7

18

6

13

12

11

16

The table below represents the partial results of a Random Block ANOVA computed in Excel
using an α = 0.05.  

Use the table as your guide to calculate the missing values requested in the following questions.

Source

Sum of

Squares

Degrees of

Freedom

Mean Sum of

Squares

F

P-value

F crit

Column/

Treatments

73.5

3

0.0175

Row/Blocks

117.5

5

0.0111

Error

Total

270.5

23

  1. The Sum of Squares Error (SSE) for this ANOVA procedure is __________.

  1. The total number of observations (nT) for this ANOVA procedure is __________.

  1. The degrees of freedom for the sum of squares error for this ANOVA procedure is ______________.
  1. The Mean Square between Treatments (MSTR) for this ANOVA procedure is __________.

  1. The Mean Square Block (MSBL) for this ANOVA procedure is __________.

  1. The Mean Square Error (MSE) for this ANOVA procedure is __________.

  1. The number of main treatments / populations being compared for this ANOVA procedure is __________.

  1. The number of blocks being compared for this ANOVA procedure is __________.

  1. The main treatment F-test statistic for this ANOVA procedure is ________.

  1. Using α = 0.05, the critical F-score for the main factor for this ANOVA is ________.

  1. Setup the appropriate main treatment Hypothesis test

H0:

HA:

  1. Using all the data above, interpret the results

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
You are given an ANOVA table below with some missing entries. Source of Variation Sum of...
You are given an ANOVA table below with some missing entries. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between treatments 3 1,198.8 Between blocks 5,040 6    840.0 Error 5,994 18 Total 27 ​ a. State the null and alternative hypotheses (Hint: Use the number of treatments k). b. Compute the sum of squares between treatments. c. Compute the mean square due to error. d. Compute the total sum of squares. e. Compute the test statistic...
Consider the experimental results for the following randomized block design. Make the calculations necessary to set...
Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatment A B C 1 10 10 9 2 13 6 6 Blocks 3 18 16 15 4 21 18 19 5 8 8 9 Use = .05 to test for any significant differences. Show entries to 2 decimals, if necessary. If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean...
Problem 1: 25 patients with blisters were randomly assigned to treatment A, treatment B and Placebo;...
Problem 1: 25 patients with blisters were randomly assigned to treatment A, treatment B and Placebo; the number of days until the blisters heal were recorded. Are these treatments significantly different? Use α = 5%. Treatment A 5 6 6 7 7 8 9 10 Treatment B 7 7 8 9 9 10 10 11 Placebo 7 9 9 10 10 10 11 12 13 Sample size (n) Median Mean Standard Deviation (S) Treatment A 8 7 7.250 1.669 Treatment...
In an experiment designed to test the output levels of three different treatments, the following results...
In an experiment designed to test the output levels of three different treatments, the following results were obtained: SST= 420 SSTR=150 NT=19. Set up the ANOVA table and test for any significant difference between the mean output levels of the three treatments. Use A=.05. Source of Variation Sum of Squares Degrees of Freedom Mean Square (to 2 decimals) (to 2 decimals) -value (to 4 decimals) Treatments 150 Error Total 420 The P-value is - Select your answer -less than .01between...
Consider the experimental results for the following randomized block design. Make the calculations necessary to set...
Consider the experimental results for the following randomized block design. Make the calculations necessary to set up the analysis of variance table. Treatment A B C 1 11 10 9 Blocks 2 12 6 6 3 18 16 14 4 21 18 19 5 8 8 9 Use = .05 to test for any significant differences. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your answer is zero enter "0". Source of Variation Sum...
An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of...
An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary). If answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 700 Blocks 400 Error Total 1,500 Use alpha= .05 to test for any significant differences.
A study measuring the fatigue of air traffic controllers resulted in proposals for modficiation and redesign...
A study measuring the fatigue of air traffic controllers resulted in proposals for modficiation and redesign of the controllers' workstation. After consideration of several designs for the workstation, three specific alternatives are selected as having the best potential for reducing controller stress. The key question is: To what extent do the three alternatives differ in terms of their effect on controller stress? A randomized block design is used to test the hypothesis of no difference in stress levels for the...
An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of...
An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table (to 2 decimals, if necessary and p-value to 4 decimals). If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,100 Blocks 500 Error Total 2,000 Use = .05 to test for any significant differences. The p-value is What is your conclusion
Consider the partial ANOVA table shown below. Let a = .01 Source of Variation DF SS...
Consider the partial ANOVA table shown below. Let a = .01 Source of Variation DF SS MS F Between Treatments 3 180 Within Treatments (Error) Total 19 380 If all the samples have five observations each: there are 10 possible pairs of sample means. the only appropriate comparison test is the Tukey-Kramer. all of the absolute differences will likely exceed their corresponding critical values. there is no need for a comparison test – the null hypothesis is not rejected. 2...
A factorial experiment was designed to test for any significant differences in the time needed to...
A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours. Language Spanish French German System 1 9 13 13 13 17 17 System 2 7 18 15 11...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT