Question 1 Suppose you carry out a one-way ANOVA to test whether the mean sellin

Question

Question 1     
Suppose you carry out a one-way ANOVA to test whether the mean selling prices of houses in three cities are the same. The three-sample means are as follows:
City 1: $365,880
City 1: $365,900
City 1: $366,054

The p-value is 0.04.

Part (a)           
Are the differences between these means statistically significant? Justify your answer.

Part (b)           
Are the differences between these means of practical significance? Justify your answer.

Question 2     
The covariance between variables A and B is 14.73. The correlation coefficient between variables C and D is 0.78. Is it possible to tell which pair of variables is more strongly correlated? Explain your answer.

Question 3     
A researcher would like to find out what makes people decide to start a family. He notices that in many cases, people buy a car seat for infants and then just a few weeks later their baby is born. Hence he suggests that the act of buying a car seat causes women to have babies. Do you agree that such causation exists? Explain your answer.

Explanation / Answer

given that p value is 0.04

In the majority of analyses, an alpha of 0.05 is used as the cutoff for significance. If the p-value is less than or equal to 0.05, we reject the null hypothesis and statistically significant.

here p=0.04<alpha=0.05

therfore,

we reject the null hypothesis and statistically significant.

the differences between these means statistically significant

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.