A Pew Research study conducted in 2017 found that approximately 75% of Americans believe that robots and computers might one day do many of the jobs currently done by people.† Suppose we have the following data collected from nurses, tax auditors, and fast-food workers in which a higher score means the person feels his or her job is more likely to be automated. Nurse Tax Auditor Fast-Food Worker 4 4 5 4 5 8 5 6 6 2 3 8 2 6 5 3 3 6 4 5 5 6 2 5 (a)Use ? = 0.05 to test for differences in the belief that a person's job is likely to be automated for the three professions. State the null and alternative hypotheses. 1. H0: μNurse = μTax auditor = μFast-food worker Ha: Not all the population means are equal. 2. H0: Not all the population means are equal. Ha: μNurse = μTax auditor = μFast-food worker 3. H0: At least two of the population means are equal. Ha: At least two of the population means are different. 4. H0: μNurse ≠ μTax auditor ≠ μFast-food worker Ha: μNurse = μTax auditor = μFast-food worker 5. H0: μNurse = μTax auditor = μFast-food worker Ha: μNurse ≠ μTax auditor ≠ μFast-food worker 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 difference in mean scores for the three professions. 2. Reject H0. There is sufficient evidence to conclude that there is a difference in mean scores for the three professions. 3. Reject H0. There is not sufficient evidence to conclude that there is a difference in mean scores for the three professions. 4. Do not reject H0. There is sufficient evidence to conclude that there is a difference in mean scores for the three professions. (b) Use Fisher's LSD procedure to compare the belief that a person's job will be automated for nurses and tax auditors. (Use ? = 0.05.) Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for nurses and tax auditors. /xNurse − xTax auditor/ = What conclusion can you draw after carrying out this test? 1. There is a significant difference between the means for nurses and tax auditors. 2. There is not a significant difference between the means for nurses and tax auditors.

A Pew Research study conducted in 2017 found that approximately 75% of Americans believe that robots and computers might one day do many of the jobs currently done by people.† Suppose we have the following data collected from nurses, tax auditors, and fast-food workers in which a higher score means the person feels his or her job is more likely to be automated. Nurse Tax Auditor Fast-Food Worker 4 4 5 4 5 8 5 6 6 2 3 8 2 6 5 3 3 6 4 5 5 6 2 5 (a)Use ? = 0.05 to test for differences in the belief that a person's job is likely to be automated for the three professions. State the null and alternative hypotheses. 1. H0: μNurse = μTax auditor = μFast-food worker Ha: Not all the population means are equal. 2. H0: Not all the population means are equal. Ha: μNurse = μTax auditor = μFast-food worker 3. H0: At least two of the population means are equal. Ha: At least two of the population means are different. 4. H0: μNurse ≠ μTax auditor ≠ μFast-food worker Ha: μNurse = μTax auditor = μFast-food worker 5. H0: μNurse = μTax auditor = μFast-food worker Ha: μNurse ≠ μTax auditor ≠ μFast-food worker 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 difference in mean scores for the three professions. 2. Reject H0. There is sufficient evidence to conclude that there is a difference in mean scores for the three professions. 3. Reject H0. There is not sufficient evidence to conclude that there is a difference in mean scores for the three professions. 4. Do not reject H0. There is sufficient evidence to conclude that there is a difference in mean scores for the three professions. (b) Use Fisher's LSD procedure to compare the belief that a person's job will be automated for nurses and tax auditors. (Use ? = 0.05.) Find the value of LSD. (Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for nurses and tax auditors. /xNurse − xTax auditor/ = What conclusion can you draw after carrying out this test? 1. There is a significant difference between the means for nurses and tax auditors. 2. There is not a significant difference between the means for nurses and tax auditors.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Nurse	Tax Auditor	Fast-Food Worker
4	4	5
4	5	8
5	6	6
2	3	8
2	6	5
3	3	6
4	5	5
6	2	5

(a)Use ? = 0.05 to test for differences in the belief that a person's job is likely to be automated for the three professions.

State the null and alternative hypotheses.

1. H₀: μ_Nurse = μ_{Tax auditor} = μ_{Fast-food worker}
H_a: Not all the population means are equal.

2. H₀: Not all the population means are equal.
H_a: μ_Nurse = μ_{Tax auditor} = μ_{Fast-food worker}

3. H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.

4. H₀: μ_Nurse ≠ μ_{Tax auditor} ≠ μ_{Fast-food worker}
H_a: μ_Nurse = μ_{Tax auditor} = μ_{Fast-food worker}

5. H₀: μ_Nurse = μ_{Tax auditor} = μ_{Fast-food worker}
H_a: μ_Nurse ≠ μ_{Tax auditor} ≠ μ_{Fast-food worker}

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 difference in mean scores for the three professions.

2. Reject H₀. There is sufficient evidence to conclude that there is a difference in mean scores for the three professions.

3. Reject H₀. There is not sufficient evidence to conclude that there is a difference in mean scores for the three professions.

4. Do not reject H₀. There is sufficient evidence to conclude that there is a difference in mean scores for the three professions.

(b) Use Fisher's LSD procedure to compare the belief that a person's job will be automated for nurses and tax auditors. (Use ? = 0.05.)

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

LSD =

Find the pairwise absolute difference between sample means for nurses and tax auditors.

/x_Nurse − x_{Tax auditor/}=

What conclusion can you draw after carrying out this test?

1. There is a significant difference between the means for nurses and tax auditors.

2. There is not a significant difference between the means for nurses and tax auditors.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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

$Research Ethics$

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.