4. The monthly income (in RM'000) of husbands and wives in 12 households is as below: | Household | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | | Husband | 2.5 | 4.7 | 3.5 | 7.6 | 10.6 | 4.7 | 5.6 | 12.7 | 15.6 | 4.5 | 5.5 | 12.5 | | Wife | 2.6 | 4.0 | 4.0 | 7.9 | 5.8 | 1.6 | 6.0 | 3.0 | 15.8 | 4.5 | 6.5 | 8.5 | a. State your hypotheses. b. Test if there is a difference in income between the husbands and wives in the 12 households at 0.05 significant level.
Added by David W.
Close
Step 1
State the null hypothesis (H0) and alternative hypothesis (H1): H0: There is no difference in income between husbands and wives (Β΅1 = Β΅2) H1: There is a difference in income between husbands and wives (Β΅1 β Β΅2) Show moreβ¦
Show all steps
Your feedback will help us improve your experience
Madhur L and 63 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A study is made of working couples. The regression equation for predicting wife's income from husband's income is wife's income $=0.1667 \times$ husband's income $+\$ 24,000.$ Another investigator solves this equation for husband's income, and gets husband's income $=6 \times$ wife's income $-\$ 144,000.$ True or false, and explain: the second investigator has found the regression equation for predicting husband's income from wife's income. If you want to compute anything, $$\begin{aligned} \text { husband's average income } &=\$ 54,000, \quad S D=\$ 39,000 \\ \text { wife's average income } &=\$ 33,000, \quad S D=\$ 26,000, \quad r=0.25 \end{aligned}$$
The table shows the percents of wives in two-income families who earned more than their husbands in the United States from 2000 through 2012. Construct a line graph for the data. Write a brief statement describing what the graph reveals. (Source: U.S. Bureau of Labor Statistics) $$\begin{array}{|c|c|} \hline \text { Year } & \text { Percent } \\ \hline 2000 & 23.3 \\ 2001 & 24.1 \\ 2002 & 25.0 \\ 2003 & 25.2 \\ 2004 & 25.3 \\ 2005 & 25.5 \\ 2006 & 25.7 \\ 2007 & 25.9 \\ 2008 & 26.6 \\ 2009 & 28.9 \\ 2010 & 29.2 \\ 2011 & 28.1 \end{array}$$
Prerequisites
Representing Data Graphically
The following data represent the living situation of newlyweds in a large metropolitan area and their annual household income. Find the marginal frequency for newlyweds who rent their home.
Sandra K.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD