Sample statistics for annual earning: High school diploma Bachelor's degree or higher X1= $27,136 X2= $34,329 %3D S1 = $2318 S2 = $4962 %3D n1 = 15 %3D n2 = 12 %3D The annual earnings of 15 people with a high school diploma and 12 people with a bachelor's degree or higher are shown above. Can you conclude that there is a difference in the mean annual earnings based on level of education? Use a = 0.01. Assume the populations are normally distributed and the population variances are not equal. a. Identify the claim and state Ho and Ha b. Identify the level of significance a and the degrees of freedom. c. Find the critical values and identify the rejection regions. d. Find the standardized test statistic t. Sketch a graph. e. Decide whether to reject the null hypothesis. f. Interpret the decision in the context of the original claim.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Sample statistics for annual earning:
High school
diploma
Bachelor's degree
or higher
X1= $27,136
X2= $34,329
%3D
S1 = $2318
S2 = $4962
%3D
n1 = 15
%3D
n2 = 12
%3D
The annual earnings of 15 people with a high school diploma and 12 people with a bachelor's
degree or higher are shown above. Can you conclude that there is a difference in the mean annual
earnings based on level of
education? Use a = 0.01. Assume the populations are normally distributed and the population
variances are not equal.
a. Identify the claim and state Ho and Ha
b. Identify the level of significance a and the degrees of freedom.
c. Find the critical values and identify the rejection regions.
d. Find the standardized test statistic t. Sketch a graph.
e. Decide whether to reject the null hypothesis.
f. Interpret the decision in the context of the original claim.
Transcribed Image Text:Sample statistics for annual earning: High school diploma Bachelor's degree or higher X1= $27,136 X2= $34,329 %3D S1 = $2318 S2 = $4962 %3D n1 = 15 %3D n2 = 12 %3D The annual earnings of 15 people with a high school diploma and 12 people with a bachelor's degree or higher are shown above. Can you conclude that there is a difference in the mean annual earnings based on level of education? Use a = 0.01. Assume the populations are normally distributed and the population variances are not equal. a. Identify the claim and state Ho and Ha b. Identify the level of significance a and the degrees of freedom. c. Find the critical values and identify the rejection regions. d. Find the standardized test statistic t. Sketch a graph. e. Decide whether to reject the null hypothesis. f. Interpret the decision in the context of the original claim.
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