(SHOW ALL WORK) Household income is one of the measures of socioeconomic status
ID: 3154729 • Letter: #
Question
(SHOW ALL WORK)
Household income is one of the measures of socioeconomic status (SES). A college student wants to see if there is a significant difference in mean household incomes for students from several Rocky Mountain states. After the data were collected, the student performed an appropriate test of hypothesis, and found that with the between groups degrees of freedom of 5, the test statistic was 2.848, and the p-value was 0.0515.
(a) Identify the test of hypothesis by name. How many different groups (samples) are being compared? Hint: What does the between groups degrees of freedom tell us?
(b) State the research question (or claim).
(c) State the hypotheses.
(d) Based on the p-value, what should be the student's conclusion? How strong is this conclusion?
(e) Are place of residence and mean household income related? Why or why not?
Explanation / Answer
a) The test of hypothesis is ANOVA. The df (between)=5, k-1=5, therefore, k=6, 6 groups have been compared.
b) Do the data provide sufficient sample evidence to conclude that there is significant difference in mean household income of student sfrom 6 Roky Mountain states.
c) H0: mu1=mu2=mu3=mu4=mu5=mu6
H1:Atleast 1 of the population mean is differnt.
d) The p value is not less than 0.05. Fail to reject null hypothesis. There is no sufficient sample evidence to conclude that at least one mean is different from the other.
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