Test if there is a significant difference in house prices for houses with 4 or more bedrooms, if compared to houses with 3 or less bedrooms. Answer the questions for Assessment. (Pick the closest answer)

1. What is the P-value?

a. 0.074081031
b. 1.85525E-07
c. 0.002738669
d. 0.000144083

Age #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

c. 0.002738669

Step-by-step explanation:

The hypothesis are:

Null hypothesisH₀: μ₁ - µ₂ = 0

Alternative hypothesisH₁: μ₁ - µ₂ ≠ 0

CI used is 95%

t-value looked up from table and p value found to be 0.002738669

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier