How do the average weekly incomes of lawyers and architects compare? A random sample of 18 regions in the United States gave the following information about average weekly incomes (in dollars). (Reference: U.S. Department of Labor, Bureau of Labor Statistics.) Region 1 2 3 4 5 6 7 8 9 Lawyers 705 897 849 1045 1327 1166 1122 865 1032 Architects 853 935 886 1108 1374 1296 1033 861 1011 Region 10 11 12 13 14 15 16 17 18 Lawyers 712 833 1194 995 1131 928 1395 879 1143 Architects 792 909 1153 1035 1196 934 1129 918 1179 Does this information indicate that architects tend to have a larger average weekly income? Use α = 0.05. (a) What is the level of significance? (b) Compute the sample test statistic. (Use 2 decimal places.) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
icon
Related questions
Topic Video
Question

How do the average weekly incomes of lawyers and architects compare? A random sample of 18 regions in the United States gave the following information about average weekly incomes (in dollars). (Reference: U.S. Department of Labor, Bureau of Labor Statistics.)

Region 1 2 3 4 5 6 7 8 9
Lawyers 705 897 849 1045 1327 1166 1122 865 1032
Architects 853 935 886 1108 1374 1296 1033 861 1011

Region 10 11 12 13 14 15 16 17 18
Lawyers 712 833 1194 995 1131 928 1395 879 1143
Architects 792 909 1153 1035 1196 934 1129 918 1179

Does this information indicate that architects tend to have a larger average weekly income? Use α = 0.05.

(a) What is the level of significance?
(b) Compute the sample test statistic. (Use 2 decimal places.)
(c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill