queenx1xshay
13.08.2020 •
Mathematics
A study was conducted to compare the effect of three diet types on the milk yield of cows (in lbs). The sample size, sample mean, and sample variance for each method are given below.
Diet A: n1 = 9, X1 = 39.1, s21 = 24.6
Diet B: n2 = 8, X2 = 29.9, s22 = 16.4
Diet C: n3 = 10, X3 = 45.9, s21 = 10.3
(a) Construct an ANOVA table including all relevant sums of squares, mean squares, and degrees of freedom.
(b) Perform an overall F test to determine whether the population means of milk yield are the same or not among the three diet types.
Solved
Show answers
More tips
- C Computers and Internet Keep Your Mouse Pad Clean: The Right Way to Clean It?...
- F Food and Cooking Homemade French Fries: The Ultimate Guide...
- D Dating, Love, Relationships How Long Can Love Last?...
- A Auto and Moto Mastering One-Movement Parking: All You Need to Know...
- C Computers and Internet How to Properly Order Clothing from International Online Stores...
- H Health and Medicine Headache: A Comprehensive Guide to Treatment...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- A Auto and Moto Discovering the Leader: What is the Most Expensive Car in the World?...
- F Food and Cooking How to Quickly Put your Child to Sleep?...
- C Computers and Internet How to Create a Website for Free and Easy?...
Answers on questions: Mathematics
- M Mathematics 11090 rounded to the nearest hundred...
- M Mathematics PLSS I NEEED HELP ON THIS QUESTION.....
- M Mathematics Seeemy new range roverhow is it...
- M Mathematics The double number line below shows the number of students in Mr. Fulton s class. It shows the number of students that represents $40\%$ of students in Mr. Fulton s class. The...
- S Spanish Lupe Zarzuela es enter answer una persona inteligente. Ella estudia economía, biología y arte en enter answer UAG, que es enter answer...
Ответ:
(a) Anova table is attached below.
(b) The population means of milk yield are different among the three diet types
Step-by-step explanation:
In this case we need to perform a One-way ANOVA to determine whether the effect of three diet types on the milk yield of cows are significantly different or not.
The hypothesis can be defined as follows:
H₀: The effect of three diet types on the milk yield of cows are same.
Hₐ: The effect of three diet types on the milk yield of cows are significantly different.
(a)
The formulas are as follows:
The F critical value is computed using the Excel formula:
F critical value=F.INV.RT(0.05,2,24)
The ANOVA table is attached below.
(b)
The rejection region is defined as follows:
F > F (2, 24) = 3.403
The computed F statistic value is:
F = 34.069
F = 34.269 > F (2, 24) = 3.403
The null hypothesis will be rejected.
Thus, concluding that the population means of milk yield are different among the three diet types
Ответ:
C
Step-by-step explanation:
The answer is C
I dont surely