A randomized block design yielded the following Analysis of…
A randomized block design yielded the following Analysis of Variance table: Source df SS MS F Total 14 836 Treatments 4 501 125.25 Blocks 2 225 112.50 Error 8 110 13.75 Find the critical F value from the F tables that should be used to compare to the calculated F value for blocks. Assume that we will use a significance level (α) of 0.05.
Read DetailsA Randomized Block Design is used to compare fleece weights…
A Randomized Block Design is used to compare fleece weights of three breeds of sheep – Merino, Suffolk, and Dorset (we can think of the three breeds as being the three treatments). The sheep are divided into two weight classes (i.e., two blocks). Block one contains sheep weighing less than 150 lb and block two contains sheep weighing more than 150 lb. The fleece weights (in pounds) are as follows: Merino Suffolk Dorset Block 1 13 8 9 Block 2 14 9 11 The partially completed ANOVA table for this experiment is as follows: Source df SS MS F Total 29.33333 Breed 26.33333 13.16667 79.00003 Block Error 0.33333 0.16667 We want to test the null hypothesis that the three breed means are equal vs. the alternative hypothesis that at least two of the breed means are different. Using a signficance level of 0.05, which one of the following statements is the correct conclusion?
Read DetailsAn industrial psychologist is investigating the effects of w…
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 4 different “home rooms” with 5 trainees per room. Each room was identical except for the color of the walls. The 4 colors used were light green, light blue, gray, and red. Therefore, in this experiment the 4 treatments were the 4 room colors. The psychologist wants to compare the mean attitudes of the trainees assigned to the 4 rooms with different colors. At the end of the training program, the attitude of each trainee was measured on a 60 point scale (the lower the score, the poorer the attitude). The data were subjected to an analysis of variance. The partially completed Analysis of Variance (ANOVA) table was as follows: Source df SS MS F Total 1,829.75 Treatments 1,678.15 Error 151.60 Find the Mean Squares for treatments.
Read DetailsFrame score in beef cattle is based on height at the hips an…
Frame score in beef cattle is based on height at the hips and is used as a measure of skeletal size. Frame scores range from 1 to 10 with a higher number indicating a taller animal. Independent random samples of frame scores were selected from the Angus and Simmental breeds of beef cattle with the following results: Angus Simmental 5 7 6 7 7 8 5 6 7 7 6 Calculate the Breed Sum of Squares.
Read DetailsIn the 1970’s it was generally assumed that the mean birth w…
In the 1970’s it was generally assumed that the mean birth weight of Angus beef cattle was 75 lb. A researcher believes that, due to selection for increased size and growth rate in Angus, the average birth weight is now greater than 75 lb. He obtains a random sample of n = 144 birth weights of Angus calves and calculates a sample mean of 85 lb and a sample standard deviation of 10 lb. Calculate the test statistic needed to test the null hypothesis.
Read Details