link for data https://drive.google.com/open?id=0B4XQhcmrtmtPbW9KQ3ZiTE9KdzQ Kudz

Question

link for data

https://drive.google.com/open?id=0B4XQhcmrtmtPbW9KQ3ZiTE9KdzQ

Kudzu is a plant that was imported to the United States from Japan and now covers over seven million acres in the South. The plant contains chemicals called isoflavones that have been shown to have beneficial effects on bones. One study used three groups of rats to compare a control group with rats that were fed either a low dose or a high dose of isoflavones from kudzu. One of the outcomes examined was the bone mineral density in the femur (in grams per square centimeter). The data is recorded in Bone_Mineral_Data.xlsx.

Researchers would like to test if the mean bone mineral density is different for the three different groups. Conduct an ANOVA test to determine if there is a difference in the means of the 3 groups. Use a level of significance of =0.05

What are the null and alternative hypotheses?

Question 1 options:

H0:All the means are equal{"version":"1.1","math":"H_0: ext{All the means are equal}"}

Ha:At least one of the means differs{"version":"1.1","math":"H_a: ext{At least one of the means differs}"}

H0:At least one of the means differs{"version":"1.1","math":"H_0: ext{At least one of the means differs}"}

Ha:All the means are equal{"version":"1.1","math":"H_a: ext{All the means are equal}"}

H0:All the means are equal{"version":"1.1","math":"H_0: ext{All the means are equal}"}

Ha:One of the means is greater than the others{"version":"1.1","math":"H_a: ext{One of the means is greater than the others}"}

H0:All the means are equal{"version":"1.1","math":"H_0: ext{All the means are equal}"}

Ha:Two or more of the means are not equal to the others

Check that the requirements for this data are met. Check that data are normally distributed in each group and that the variances are equal for each group. Which of the following statements is true?

Question 2 options:

The data are approximately normal for each group, the variances are equal for each group.

The data are clearly not normal for each group, the variances are equal for each group.

The data are approximately normal for each group, the variances are not equal for each group.

The data are clearly not normal for each group, the variances are not equal for each group.

Question 3

Give the test statistic accurate to 3 decimal places. (Example: 4.567)

Question 4)

Input the degrees of freedom.

a)

b)

Question 5)

Give the P-value for this test. Round your answer to three decimal places (Example: 0.032)

Question 6)

Based on the decision rule, what do you conclude?

Question 6 options:

Fail to reject the null. There is sufficient evidence to suggest that there is a difference in the means of one or more of the groups from the others.

Fail to reject the null. There is insufficient evidence to suggest that there is a difference in the means of one or more of the groups from the others.

Reject the null. There is sufficient evidence to suggest that there is a difference in the means of one or more of the groups from the others.

Reject the null. There is insufficient evidence to suggest that there is a difference in the means of one or more of the groups from the others.

H0:All the means are equal{"version":"1.1","math":"H_0: ext{All the means are equal}"}

Ha:At least one of the means differs{"version":"1.1","math":"H_a: ext{At least one of the means differs}"}

H0:At least one of the means differs{"version":"1.1","math":"H_0: ext{At least one of the means differs}"}

Ha:All the means are equal{"version":"1.1","math":"H_a: ext{All the means are equal}"}

H0:All the means are equal{"version":"1.1","math":"H_0: ext{All the means are equal}"}

Ha:One of the means is greater than the others{"version":"1.1","math":"H_a: ext{One of the means is greater than the others}"}

H0:All the means are equal{"version":"1.1","math":"H_0: ext{All the means are equal}"}

Ha:Two or more of the means are not equal to the others

Check that the requirements for this data are met. Check that data are normally distributed in each group and that the variances are equal for each group. Which of the following statements is true?

Question 2 options:

The data are approximately normal for each group, the variances are equal for each group.

The data are clearly not normal for each group, the variances are equal for each group.

The data are approximately normal for each group, the variances are not equal for each group.

The data are clearly not normal for each group, the variances are not equal for each group.

Question 3

Give the test statistic accurate to 3 decimal places. (Example: 4.567)

Question 4)

Input the degrees of freedom.

a)

b)

Question 5)

Give the P-value for this test. Round your answer to three decimal places (Example: 0.032)

Question 6)

Based on the decision rule, what do you conclude?

Question 6 options:

Fail to reject the null. There is sufficient evidence to suggest that there is a difference in the means of one or more of the groups from the others.

Fail to reject the null. There is insufficient evidence to suggest that there is a difference in the means of one or more of the groups from the others.

Reject the null. There is sufficient evidence to suggest that there is a difference in the means of one or more of the groups from the others.

Reject the null. There is insufficient evidence to suggest that there is a difference in the means of one or more of the groups from the others.

Explanation / Answer

Question 1 :

Answer (Option 1) H0 : All the means are equal.

H1 : Atleast one of the means differs

Question 2 :

Answer (Option 3) The data are approximately normal for each group, the variances are not equal for each group.

Question 3 :

Answer Test statistic F = 6.192

Question 4 :

Answer a) 2

   b) 39

Question 5 :

Answer P-value = 0.005

Question 6 :

Answer (Option 1) Fail to reject the null hypothesis. There is sufficient evidence to suggest that there is a difference in the means of one or more of the groups from the others.

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