Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3,100. Assume that the standard deviation is $1,400.
Required:
a. What is the z-score for a backyard structure costing $2300?
b. What is the z-score for a backyard structure costing $4900?
c. Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
d. If the cost for a backyard shed-office combination built in Albany, California, is $13,000, should this structure be considered an outlier? Explain.
Answer:
a) The z-score for a backyard structure costing $2300 is -0.57.
b) The z-score for a backyard structure costing $4900 is 1.29
c) A backyard structure costing $2300 costs 0.57 standard deviations below the mean, while a backyard structure costing $4900 costs 1.29 standard deviations above the mean. Since both are within 2 standard deviations of the mean, none is an outlier.
d) Since this combination costs more than 2 standard deviations from the mean, yes, it should be considered an outlier.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If the z-score is more than two standard deviations from the mean(lesser than -2 or more than 2), the score X is considered an outlier.
In this question, we have that:
[tex]\mu = 3100, \sigma = 1400[/tex]
a. What is the z-score for a backyard structure costing $2300?
We have to find Z when [tex]X = 2300[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2300 - 3100}{1400}[/tex]
[tex]Z = -0.57[/tex]
The z-score for a backyard structure costing $2300 is -0.57.
b. What is the z-score for a backyard structure costing $4900?
We have to find Z when [tex]X = 2300[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4900 - 3100}{1400}[/tex]
[tex]Z = 1.29[/tex]
The z-score for a backyard structure costing $4900 is 1.29
c. Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
A backyard structure costing $2300 costs 0.57 standard deviations below the mean, while a backyard structure costing $4900 costs 1.29 standard deviations above the mean. Since both are within 2 standard deviations of the mean, none is an outlier.
d. If the cost for a backyard shed-office combination built in Albany, California, is $13,000, should this structure be considered an outlier?
We have to find the z-score when X = 13000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{13000 - 3100}{1400}[/tex]
[tex]Z = 7.07[/tex]
Since this combination costs more than 2 standard deviations from the mean, yes, it should be considered an outlier.
An account has a principal of $500 and a
simple interest rate of 3.3%. How much interest
would be earned after 3 years?
Answer:
$49.50
Step-by-step explanation:
Simple interest formula => interest = principal x rate x time period
interest = 500 x .033 x 3 years
interest = 49.50
I hope this helps!
-TheBusinessMan
5(−2n + 4) + (n - 3)=
Use the Distributive Property to find 13×612.
Answer:
(612 x 10) + (612 x 3) = 6120 + 1836= 7956
Step-by-step explanation:
Choose all of the numbers that make the statement true
Answer:
i'm pretty sure that the answer is B. 3/4
Step-by-step explanation:
3/4 X 2/3=1/2=0.5
2/3= 0.666666667
=> 1/2 (0.5) < 2/3 (0.6667)
=> 3/4 X 2/3 < 2/3
aight man can someone help me lol
Answer: 11/24
Step-by-step explanation:
whenever u see this — (
it means the opposite of. so the opposite of -5/8 is +5/8.
-1/6 + 5/8 = 11/24
Total of three numbers is 45.5 two of them are equal the third one is half of other two what are the three numbers
Answer:
im taking a nap
Step-by-step explanation:
I need help on deltamath
Answer:
(-4,-5)
Step-by-step explanation:
(x,y)... always x-axis first and then y-axis
If a pound of turkey costs $0.82, how much will n pounds cost?
y = -1X + 9
Use the equation to predict the number of visits per week to a coffee shop that is 3 blocks away.
Answer:
Step-by-step explanation:
It is a pity that we can't see the name of the units on the y axis. I sound like a grumpy old man (which I am), but the answer might be easy enough. Follow the line upwards from x=3 to the best fitting line. Then go left until you hit the y axis.
All other things being equal, you should get 6. I'm not positive about this because the units are differently spaced along each axis. But I do think you have the right equation y = -x + 9
WORTH 67 POINTS!! PLEASE HELP QUICK!!
A.
B.
C.
D.
Step-by-step explanation:
When m > -3.1, the line should extend towards the right and the point at 3.1 should be an empty circle. (as m = 3.1 is not included in the solution set)
Hence the answer is Option D.
P.S. The reason why A is wrong is because the number line is wrongly labelled. -3.3, -3.2 and -3.1 are all less than -3 and should be on the left of the number line.
Pls help! Brainliest for first correct answer!
Answer and Step-by-step explanation:
Triangle CAM is congruent to triangle IAM by the SAS postulate (Side angle Side.
This is because the midpoint is congruent with itself, and since it is midpoint, it forms right angle, making the angle part, and since its also the midpoint, it splits Ci in half, making CM congruent to CI
Cat face 2 la puterea 81?
How much is 2 to the power of 81?
VA ROG ESTE SUPER URGENT!
PLEASE ITS SUPER URGENT!
Answer:
[tex]2.418 * 10^{24}[/tex]
Step-by-step explanation:
[tex]2^{81}[/tex] = [tex]2.418 * 10^{24}[/tex]
OR
Approximately:
2417851639000000000000000
the history museum is hosting a special exhibition on history of flight. The admission ticket for each adult cost $5 and the admission ticket for each child costs $2. On the opening day of the exhibition, 50 tickets were sold for a total of $240. How many adults visited the special exhibition?
HELP WILL GIVE BRAINLIEST ANSWER PLUS 50 POINTS!
Find the point below that lies on the line y- 5 = 7(x-6).
O A. (4,-3)
B. (3,-1)
C. (6,5)
O D. (5,6)
O E. (1,-5)
Answer:
The answer is C
Step-by-step explanation:
Answer:
the answer is c sorry
Step-by-step explanation:
Rewrite as a simplified fraction. 0.51 = ?
Answer:
51/100
Step-by-step explanation:
why do you think that slowing down is sometimes called deceleration instead of acceleration?
Answer:
The "de" part means oppsite to whats behind it I think
Step-by-step explanation:
Answer:
Because acceleration means to gradually speed up, while deceleration means to gradually slow down.
you are a city planner and I have been asked to redesign a park . Currently the park is 500 feet long and 300 feet wide. Q1) calculate the scale factor of the drawing. Q2) The city would like sidewalks placed on the diagonals of the park. How long will the sidewalks be in the scale drawing? Q3) The diagonals meet at a central fountain(point g) they would like to add a playground that is equidistant from the fountain and corner C. At which coordinate with the center of the playground be located? Q4) The city would like a running trail through the park perpendicular to sidewalk AC. What would the slope of the trail be? Q5) what is the equation of line BD in point slope form ? Please help me ASAP.
Answer:
Q1 5:3
Step-by-step explanation:
500 / 100 = 5
300 / 100 = 3
500:300 simplified to 5:3
Simplify
4(1 + 9x) thank you
Answer:
4+36x
Step-by-step explanation:
you multiply the number on the outside of the parentheses with the numbers in the inside of the parentheses.
4 times 1 = 4
4 times 9x = 36x
36x+4
Joshua shops at two different stores for a new phone.
Cheap Cell: Only $150, plus an instant 15% rebate
Cells For Less: Regular Price $150 sale price $125
How much money can Joshua expect to save at Cheap Cell?
Plssss helppppp I need this for my homework
Answer:
The correct answer is,
[tex]2 \frac{15}{28} [/tex]
I'm 100000000% sure.
Answer:
First divide the 1 and 5 then 4 and 7 then 5 and 2
Factor completely. 9 x 2 + 6 x + 1
Answer:24
Step-by-step explanation:
Are these scalene triangles similar?
Standard form of 4/6x+5
Answer:
y=-6x-5
Step-by-step explanation:
A manufacturing company has 1000 employees. 10% of the employees earn less than
Rs.500 per day, 200 earn between Rs.500 and Rs.999; 30% earn between Rs.1,000
and Rs.1,499; 250 employees earn between Rs.1,500 and 1,999 and rest earn Rs.2,000
and above. Calculate the suitable average wage. Give the reason for your choice of
average.
Answer:
heehhe
Step-by-step explanation:
vwhehehhehdhdhd
The area of the parallelogram below is ____ square meters.
Answer:
45 cm2
Step-by-step explanation:
your welcome I guess?
im doing the same test btw
EDIT: i finished my test this answer is wrong. pls do search for a different answer. because mine is wrong.
Find the value of 49/50 ÷ 7/6 using keep change filp write in simplest form
Answer:
Exact Form:
21/25
Decimal Form:
0.84
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Ben is 121212 years older than Ishaan. Ben and Ishaan first met two years ago. Three years ago, Ben was 444 times as old as Ishaan.
How old is Ben now?
Answer:
I think you may have this worded wrong Ben is 12 12 12 years older is it 12 years older and then four times older as?
Step-by-step explanation:
if so your answer is 7
x% of 31 is 3.317, 4,407 is 39% of y
Answer:
x=10.7, y=11300
Step-by-step explanation:
x%of 31 = 3.317
x/100×31=3.317
31x/100=3.317
31x= 3.317×100
x= 3.317 ×100/31
x =10.7
4407= 39% of y
4407= 39/100 × y
4407 =39y/100
4407×100=39y
4407 × 100/39=y
11300=y
Find the value of x. Then find the measure of each labeled angle.