The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). We are testing the claim that position is a factor in starting salaries for new college graduates. at α=0.2α=0.2 given the following data Group 1: Internship Group 2: Co-op Group 3: Work Study 13 14.5 9.5 10.75 8.75 11.25 13.25 8.5 14 13 10.25 11.5 12 9.75 14 8.25 13 14.25 11.25 9.5 13.25 10.25 12.25 15.75 Your friend Danielle helped you with the null and alternative hypotheses... H0: μ1=μ2=μ3H0: μ1=μ2=μ3 H1:H1: At least two of the means differ from each other. For this study, we should use The test-statistic for this data = (Please show your answer to 3 decimal places.) The p-value for this sample = (Please show your answer to 4 decimal places.) The p-value is αα Base on this, we should hypothesis As such, the final conclusion is that... There is insufficient evidence to support the claim that position is a factor in starting salaries for new college graduates. There is sufficient evidence to support the claim that position is a factor in starting salaries for new college graduates.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). We are testing the claim that position is a factor in starting salaries for new college graduates. at α=0.2α=0.2 given the following data

Group 1: Internship	Group 2: Co-op	Group 3: Work Study
13	14.5	9.5
10.75	8.75	11.25
13.25	8.5	14
13	10.25	11.5
12	9.75	14
8.25	13	14.25
11.25	9.5	13.25
10.25	12.25	15.75

Your friend Danielle helped you with the null and alternative hypotheses...
H0: μ1=μ2=μ3H0: μ1=μ2=μ3
H1:H1: At least two of the means differ from each other.
For this study, we should use
The test-statistic for this data = (Please show your answer to 3 decimal places.)
The p-value for this sample = (Please show your answer to 4 decimal places.)
The p-value is αα
Base on this, we should hypothesis
As such, the final conclusion is that...
- There is insufficient evidence to support the claim that position is a factor in starting salaries for new college graduates.
- There is sufficient evidence to support the claim that position is a factor in starting salaries for new college graduates.

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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