Assignment 3 Question 1 (4 points) Suppose you carry out a one-way ANOVA to test
ID: 3310859 • Letter: A
Question
Assignment 3 Question 1 (4 points) 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: S365,900 City 1: $366,054 The p-value is 0.04. Part (a) (2 points) Are the differences between these means statistically significant? Justify your answer. Part (b)(2 points) Are the differences between these means of practical significance? Justify your answer. ***Continued on p. 2.*** Question 2 (3 points) 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 (3 points) 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
Result:
Q1.
a). since p value is < 0.05 level, means are statistically significantly different.
b). since means are very close, it seems there is no practical significance.
Q2).
It is not possible to to tell which pair is strongly correlated because variances of the A and B are not known.
Q3).
We are not agree that the causation exist. Because the present of pregnancy, people buy car seat for infants.