A client wants to determine whether there is a significant difference in the time required to complete a program evaluation with the three different methods that are in common use. Suppose the times (in hours) required for each of 18 evaluators to conduct a program evaluation follow. Method 1 Method 2 Method 3 65 64 55 72 71 68 69 79 66 77 65 58 78 74 56 74 70 64 Use ? = 0.05 and test to see whether there is a significant difference in the time required by the three methods. State the null and alternative hypotheses. 1. H0: All populations of times are identical. Ha: Not all populations of times are identical. 2. H0: Median1 ≠ Median2 ≠ Median3 Ha: Median1 = Median2 = Median3 3. H0: Median1 = Median2 = Median3 Ha: Median1 > Median2 > Median3 4. H0: Median1 = Median2 = Median3 Ha: Median1 ≠ Median2 ≠ Median3 5 .H0: Not all populations of times are identical. Ha: All populations of times are identical. Find the value of the test statistic. (Round your answer to two decimal places.) ( ) Find the p-value. (Round your answer to three decimal places.) p-value = ( ) State your conclusion. 1. Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods. 2. Reject H0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. 3. Do not reject H0. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. 4. Reject H0. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.6: Rational Functions

Problem 11SC: Find the mean hourly cost when the cell phone described above is used for 240 minutes.

See similar textbooks

Related questions

Question

A client wants to determine whether there is a significant difference in the time required to complete a program evaluation with the three different methods that are in common use. Suppose the times (in hours) required for each of 18 evaluators to conduct a program evaluation follow.

Method 1	Method 2	Method 3
65	64	55
72	71	68
69	79	66
77	65	58
78	74	56
74	70	64

Use ? = 0.05 and test to see whether there is a significant difference in the time required by the three methods.

State the null and alternative hypotheses.

1. H₀: All populations of times are identical.
H_a: Not all populations of times are identical.

2. H₀: Median₁ ≠ Median₂ ≠ Median₃
H_a: Median₁ = Median₂ = Median₃

3. H₀: Median₁ = Median₂ = Median₃
H_a: Median₁ > Median₂ > Median₃

4. H₀: Median₁ = Median₂ = Median₃
H_a: Median₁ ≠ Median₂ ≠ Median₃

5 .H₀: Not all populations of times are identical.
H_a: All populations of times are identical.

Find the value of the test statistic. (Round your answer to two decimal places.)

( )

Find the p-value. (Round your answer to three decimal places.)

p-value = ( )

State your conclusion.

1. Do not reject H₀. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.

2. Reject H₀. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods.

3. Do not reject H₀. There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods.

4. Reject H₀. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Anova and Design of Experiments$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.