Open House_Price data. Test if there is a significant difference in number of ro

Question

Open House_Price data. Test if there is a significant difference in number of rooms for houses with one bathroom if compared to houses with more than one bathroom. Answer the questions for Assessment. (Pick the closest answer) 1. What is the P-value? a. 0.000230819 b. 1.85525E-07 c. 0.002738669 d. 0.012514806 2. What is the Statistical interpretation? a. The P-value is too small to have a conclusive answer. b. The P-value is much smaller than 5% thus we are very certain that houses have different number of rooms. c. The P-value is much smaller than 5% thus the answer is inconclusive. d. None of these. 3. What is the conclusion? a. Statistical interpretation agrees with the intuition: there is a difference in the number of rooms due to the number of bathrooms in the house. b. The statistics does not conform to the intuition that there is a difference in the number of rooms since one would expect the number of overall rooms changes due to the number of bathrooms in the house. c. Since the test is inconclusive the conclusion is inconclusive as well. d. The test is inconclusive and more data is needed. DATA:ge #Bathrooms #Rooms #BedRooms #FirePlaces sellingPrice in $100000 42 1 7 4 0 4.9176 62 1 7 4 0 5.0208 40 1 6 3 0 4.5429 54 1 6 3 0 4.5573 42 1 6 3 0 5.0597 56 1 6 3 0 3.891 51 1 7 3 1 5.898 32 1 6 3 0 5.6039 32 1 6 3 0 5.8282 30 1 6 3 0 5.3003 30 1 5 2 0 6.2712 32 1 6 3 0 5.9592 32 1 6 3 0 5.6039 50 1.5 8 4 0 8.2464 17 1.5 6 3 0 7.7841 23 1 7 3 0 9.0384 22 1.5 6 3 0 7.5422 44 1.5 6 3 0 6.0931 3 1 7 3 0 8.14 31 1.5 8 4 0 9.1416 42 2.5 10 5 1 16.4202 14 2.5 9 5 1 14.4598 46 1 5 2 1 5.05 22 1.5 7 3 1 6.6969 40 1 6 3 1 5.9894 50 1.5 8 4 1 8.7951 48 1.5 8 4 1 8.3607 30 1.5 6 3 1 12

Explanation / Answer

1. What is the P-value?

Answer: c. 0.002738669

2. What is the Statistical interpretation?

Answer: b. The P-value is much smaller than 5% thus we are very certain that houses have different number of rooms.

3. What is the conclusion?

Answer: a. Statistical interpretation agrees with the intuition: there is a difference in the number of rooms due to the number of bathrooms in the house.

Explanation:

A 2 sample t test was performed considering two cases

For this case,

mean = 6.18,

number of sample = N1=17

Sample variance = s21 = 0.4

For this case,

mean = 7.45,

number of sample = N1=11

Sample variance = s21 = 1.87

Calculated t-value = -3.36

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