Question

The dataset HomesForSale has data on houses available for sale in three Mid-Atlantic states (NY, NJ, and PA). Table 1 shows the mean and standard deviation from the three Mid-Atlantic states, in thousands of dollars. Use this table, the knowledge that within the US the average house sells for about 265 thousand dollars1, and a 5% significance level to answer the following questions.

State	n	Mean	Std. Dev.
New York	30	565.6	697.6
New Jersey	30	388.5	224.7
Pennsylvania	30	249.6	179.3

Table 1 Mean housing prices for New York, New Jersey, and Pennsylvania


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1According to the US Census in April 2011.

(a) Test whether the average cost of a house in New York is significantly greater than the US average.

Give the test statistic and the p-value.

Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.

test statistic = Enter your answer in accordance to item (a) of the question statement

p-value = Enter your answer in accordance to item (a) of the question statement

Is the average cost of a house in New York significantly greater than the US average?

Choose the answer from the menu in accordance to item (a) of the question statementChoose the answer from the menu in accordance to item (a) of the question statement  YesNo

(b) Test whether the average cost of a house in New Jersey is significantly greater than the US average.

Give the test statistic and the p-value.

Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.

test statistic = Enter your answer in accordance to item (b) of the question statement

p-value = Enter your answer in accordance to item (b) of the question statement

Is the average cost of a house in New Jersey significantly greater than the US average?

Choose the answer from the menu in accordance to item (b) of the question statementChoose the answer from the menu in accordance to item (b) of the question statement  YesNo

(c) Test whether the average cost of a house in Pennsylvania is significantly greater than the US average.

Give the test statistic and the p-value.

Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.

test statistic = Enter your answer in accordance to item (c) of the question statement

p-value = Enter your answer in accordance to item (c) of the question statement

Is the average cost of a house in Pennsylvania significantly greater than the US average?

Choose the answer from the menu in accordance to item (c) of the question statementChoose the answer from the menu in accordance to item (c) of the question statement  YesNo

(d) Which state shows the most evidence that the state average is greater than the US average?

New York

New Jersey

Pennsylvania

Answer 1

(a)

Answer: Yes

(b)

Answer: Yes

(c)

Answer: No

(d)

New Jersey