The following is sample information. We are asked to test the hypothesis at the 5% significance level that the treatment means are equal. Assume that the treatment results for each type of treatment are normally distributed with equal standard deviations (and variances).Treatment ITreatment IITreatment III9131072091114159131412 15101.) State the null hypothesis.A.) ?0H0 : ?1=?2=?3μ1=μ2=μ3orB.)?0H0 : At least two of the group means ?1,?2,?3μ1,μ2,μ3 are not equal.2.) State the alternative hypothesis.A.) ??HA : At least two of the group means ?1,?2,?3μ1,μ2,μ3 are not equal orB.)??HA : ?1=?2=?3μ1=μ2=μ33.) What is the degrees of freedom for the denominator?A.) 12B.) 2C.) 3D.) 15 4.) What is the degrees of freedom for the numerator?A.) 2B.) 3C.) 12D.) 15

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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The following is sample information. We are asked to test the hypothesis at the 5% significance level that the treatment means are equal. Assume that the treatment results for each type of treatment are normally distributed with equal standard deviations (and variances).

Treatment I	Treatment II	Treatment III
9	13	10
7	20	9
11	14	15
9	13	14
12		15
10

1.) State the null hypothesis.

A.) ?0H0 : ?1=?2=?3μ1=μ2=μ3

B.)?0H0 : At least two of the group means ?1,?2,?3μ1,μ2,μ3 are not equal.

2.) State the alternative hypothesis.

A.) ??HA : At least two of the group means ?1,?2,?3μ1,μ2,μ3 are not equal

B.)??HA : ?1=?2=?3μ1=μ2=μ3

3.) What is the degrees of freedom for the denominator?

A.) 12

B.) 2

C.) 3

D.) 15

4.) What is the degrees of freedom for the numerator?

A.) 2

B.) 3

C.) 12

D.) 15

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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