Question

A company makes dog food at four different plants and in four different formulas. One of...

A company makes dog food at four different plants and in four different formulas. One of the ingredients with a particular importance is crude fat. To discover if there is a difference in the average percent of crude fat among the four formulas and among the production​ sites, ​ two-way ANOVA analysis is performed and the output is given​ below:   Two Way Analysis of​ Variance​ results:

Source  DF SS MS ​F-stat ​P-value

Plant    3 73.25 24.4167 4.4904 0.0181

Formula 3 144.25 48.0833 8.8429 0.0011

Interaction 9 45 5 0.9195 0.5332

Error 16 87 5.4375

Total 31 349.50

1- The number of treatments in this analysis​ is:

A.8

B.12

C.16

D.9

2-

Which of the following is the number of observations per treatment​ used?

A.4

B.6

C.2

D.3

3-Which of the following is the null and alternate hypotheses to determine if there is interaction between the formulas and the plant sites where they are​ produced?  

a

HO Formula and plant do not interact to affect the average crude fat percentage

HA Formula and plant do not interact to affect the average crude fat percentage

b-

HO Formula and plant do interact to affect the average crude fat percentage

HA Not all formula and plant means are equal

c-

HO Formula and plant do not interact to affect the average crude fat percentage

HA Not all formula and plant means are equal

d-

HOFormula and plant do interact to affect the average crude fat percentage

HA Formula and plant do not interact to affect the average crude fat percentage

4-   

W​hat’s

the conclusion using 0.05 level of significance for the test that determines if there is interaction between the formulas and the plant sites where they are​ produced?

a-Do not reject H0. There is insufficient evidence to conclude that the formula and plant do interact to affect the average crude fat percentage.

b-Do not reject H0.There is sufficient evidence to conclude that the formula and plant do interact to affect the average crude fat percentage.

c-Reject H0. There is insufficient evidence to conclude that the formula and plant do interact to affect the average crude fat percentage.

d-Reject H0. There is sufficient evidence to conclude that not all formula and plant means are equal.

5-

What’s the conclusion using 0.05 level of significance for the test that determines if there is a difference in the average percentage of crude fat in the four​ formulas?

a- Reject H0 There is insufficient evidence to indicate that at least 2 formulas have different averages of percentage of crude fat.

b- Reject H0 There is sufficient evidence to indicate that at least 2 formulas have different averages of percentage of crude fat.

c- DNR H0 There is sufficient evidence to indicate that at least 2 formulas have different averages of percentage of crude fat.

d- DNR H0 There is insufficient evidence to indicate that at least 2 formulas have different averages of percentage of crude fat.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

A.8

..........

2)

A.4

.

3)

HO Formula and plant do not interact to affect the average crude fat percentage

HA Formula and plant do interact to affect the average crude fat percentage

4)

p valu>0.05

a-Do not reject H0. There is insufficient evidence to conclude that the formula and plant do interact to affect the average crude fat percentage.

.............

5)

p value<0.05

b- Reject H0 There is sufficient evidence to indicate that at least 2 formulas have different averages of percentage of crude fat.

.............

Please let me know in case of any doubt.

Thanks in advance!


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