A gallon of latex paint can cover 600 square feet. Maria has a rectangular room whose dimensions are 23 feet by 10 feet, with 7
2 answers:
Answer:
1.54 gallons of paint.
Step-by-step explanation:
Maria has a rectangular room whose dimensions are 23 feet by 10 feet, with 7 feet ceilings.
Area = 2(length + width) × height
= 2( 23 + 10)× 7
= 2 × 33 × 7
= 462 feet²
Total area of the room that she has to paint is 462 square feet. She wants to paint two coat on each wall.
Now the area would be 462 × 2 = 924 square feet
A gallon of latex paint can cover 600 square feet.
to paint 924 feet² she needs =
= 1.54 gallons of paints.
She needs to buy 1.54 gallons of paint.
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Answer:
a) Mean= 15, standard deviation= 5.1575
b) Mean= 15, standard deviation= 3.6469
c) See below
Step-by-step explanation:
(a) Compute the mean and standard deviation for the 10 cases for which x is not missing.
The mean using the ten known values is
The standard deviation is
(b) Create a new data set with 20 cases by using imputation where you set the values for the 10 missing cases equal to the mean that you computed in the previous part. Compute the mean and standard deviation for this new data set with 20 cases.
The new data set would be
17, 6, 12, 14, 20, 23, 9, 12, 16, 21, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15
The new mean for this set of values would be then
The new standard deviation is now
(c) Summarize what you have learned about the possible effects of this type of imputation on the mean and the standard deviation.
Obviously, this way of imputation is somewhat arbitrary and will produce a set of data undoubtedly skewed.
It could possibly be a sensible way of imputing data if the amount of missing data is very little compared to the whole set, for example one or two data in a set of 100, but in this case we have 50% of missing data and it makes no sense this procedure.