Answer:
1. c. 515 hours
2. c. 495 hours
Step-by-step explanation:
Sample mean:
Sum of all values in the sample divided by the number of values.
1. What is the sample mean service life for sample 2?
Sample 2 has four values, which are:
525 515 505 515
So
[tex]M = \frac{525+515+505+515}{4} = 515[/tex]
The answer is given by option C.
2. What is the mean of the sampling distribution of sample means for whenever service life is in control?
3 samples, 12 total values. We find the mean of all these values. So
[tex]M = \frac{495+500+505+500+525+515+505+515+470+480+460+470}{12} = 495[/tex]
The answer is given by option C.
ver the past three years, the mean score on the Graduate Management Admission Test (GMAT) for the population of 782,462 students who took it was 547.35 with a standard deviation of 121.08. a. Suppose that every possible sample of size 85 was taken from the population of 782,462 students and the sample mean test score was computed for each of these samples. What value should we expect the average of these sample mean test scores to equal
We should expect the average of these sample mean test scores to equal 547.35, using the Central Limit Theorem.
Central Limit TheoremThe Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex].
For the sampling distribution, the mean and the standard deviation are given as follows:Mean: [tex]\mu[/tex], that is, the same as the population mean.Standard deviation: [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], which is the population standard deviation divided by the square root of the sample size.For a skewed, that is, a non-normal variable, the sampling distribution is also approximately normal, as long as n is at least 30.
Hence, we should expect the average of these sample mean test scores to equal the population mean of 547.35.
More can be learned about the Central Limit Theorem at https://brainly.com/question/25800303
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Can you please help
Answer:
it should be the second one
Step-by-step explanation:
.........
Answer:
B
Step-by-step explanation:
the graph of a quadratic cannot be a straight line.
Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below. The figure shows a right triangle with legs marked 70 and 24.
Answer:
74
Step-by-step explanation:
Arthur spends his salary of k3550 for food, clothing, recreation and savings, which are in the ratio of 48:20:15:37, respectively.How much does he spend for each category?
students at Westbrook middle school hold green team meetings
Two more than five times a number is less than or equal to 47
WRITE THAT AS AN INEQUALITY. IF YOU DON'T KNOW WHAT THAT IS THIS IS AN EXAMPLE 3g - 4 ≥ 17
11. find the value of x in the kite below.
E
(6x + 6)
F
Р
G
14.
Step-by-step explanation:
6x+6=90 (being a straight line)
6x=90-6
6x=84
x= 84/6
x=14.
Write an expression that is equivalent to 30(x + y + 1)
In ΔLMN, the measure of ∠N=90°, the measure of ∠L=74°, and NL = 60 feet. Find the length of MN to the nearest tenth of a foot.
Answer:
209.2
Step-by-step explanation:
The total surface area is _ square centimeters
Answer:
180 square inches
Step-by-step explanation:
First off since the square will be easiest to do
a=a^2
a=6^2
a=36
now for the triangles
a= height of triangle * base/ 2
a= 12*6/2
a= 36
and since there is 4 of the triangles we multiply 36 by 4
=144
now we add 144 to 36 and we have the total
Please help me on this
Answer:
ANSWER IS C,,, 0
Step-by-step explanation:
the J+8 is basically going along with that the answer J+8 could be LESS than or equal to 8 if we pick any other number its going to be GREATER than 8 an we want LESS than 8,,,hope this helps.
A travel company is investigating whether the average cost of a hotel stay in a certain city has increased over the past year. The company recorded the cost of a one-night stay for a Friday night in January of the current year and in the previous year for 31 hotels selected at random. The difference in cost (current year minus previous year) was calculated for each hotel.
Which of the following is the appropriate test for the companyâs investigation?
A. A one-sample zz-test for a population mean A
B. A one-sample tt-test for a sample mean B
C. A one-sample zz-test for a population proportion C
D. A matched-pairs tt-test for a mean difference D
E. A two-sample tt-test for a difference between means E
Answer:
a 99.8% confidence interval for this probability, after learning that 35 of the last 93 Red Shirts who beamed down with Kirk met an ...
Click on the pic and pls help!!
Answer:
x = 43.9
Step-by-step explanation:
sin 20° = 15/x
0.3420 = 15/x
x = 43.86
Help plz:)))I’ll mark u Brainliest !!!!
Answer: x=11
Step-by-step explanation: plz mark me brainliest
Answer:
I believe its x = 11 hope for le its right
Question 8(Multiple Choice Worth 1 points)
(07.04 LC)
What are the factors of x2 - 81?
O (X + 9)(x -9)
O (X - 9)(x - 9)
(x + 3)(x - 27)
O Prime
Answer:
(X + 9)(x -9)
Step-by-step explanation:
Subtraction of perfect squares:
The factors of a subtraction of perfect squares is given by:
[tex]a^2 - b^2 = (a-b)(a+b)[/tex]
What are the factors of x² - 81?
This can be written as:
[tex]x^2 - 81 = (x)^2 - (9)^2[/tex]
So
[tex](x)^2 - (9)^2 = (x - 9)(x+9)[/tex]
Answer:
(X + 9)(x -9)
Step-by-step explanation:
please like it up and 5 stars
Giselle uses 2 ounces of pasta to make 2 over 3 of a serving of pasta. How many ounces of pasta are there per serving
A cone has a radius of 1.2 inches and a height pf 2.9 inches. What is the volume, to the nearest tenth of a cubic inch,of a cone?
9514 1404 393
Answer:
4.4 in³
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h
For the given dimensions, the volume is ...
V = 1/3π(1.2 in)²(2.9 in) = 1.392π in³ ≈ 4.4 in³
please help i will give 100 points please and really answers
Answer:
78
Step-by-step explanation:
this the first valuvate but It
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 23.4 pounds and a standard deviation of 6.8 pounds. Step 1 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 63 people on this diet, what would be the mean of the sampling distribution of sample means
Answer:
The mean of the sampling distribution of sample means would be of 23.4 pounds.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
What would be the mean of the sampling distribution of sample means?
By the Central Limit Theorem, the population mean, that is, of 23.4 pounds.
jamals lawn service often fertilizes lawn in the spring. jamal charges 3.50 per square yard. how much will jamal charge to fertilize the yard pictured below
Answer:
He will charge $28.
Step-by-step explanation:
We know that Jamal charges $3.50 per square yard.
Now we need to find the area in the image, it may be kinda hard to see it, but we can think of the image as a rectangle of 4yd by 3yd where we subtracted the area of a square of side length equal to 2yd.
The area of the rectangle is:
A = 4yd*3yd = 12 yd^2
And the area of the square is:
a = (2yd)^2 = 4 yd^2
The area of our image (equal to the difference between the area of the rectangle and the area of the square) is:
Area = A - a = 12 yd^2 - 4 yd^2 = 8 yd^2
Area = 8 yd^2
And he charges $3.50 per square yard, then for 8 square yards he charges 8 times that amount, which is:
C = 8*$3.50 = $28
HELP DUE BY 1pm PACIFIC NEED HELP ASAP
I'm backkkk!
40 = 5 (w - 2) would be the equation.
40 = 5w - 10 using the distributive property.
+ 10 + 10 because you must add to both sides to get rid of the 10.
50 = 5w
/5 /5 again, keep the same on both sides, and...
10 = w
An ice cream shop offers 40 different flavors. To simulate the most commonly chosen flavor, you could write the name of each flavor on a piece of paper and put it in a bag. Draw from the bag 100 times, and see which flavor is chosen the most. Why is this simulation a bad way to figure out the most commonly chosen flavor?
Answer:
is hard to choose the flavor of ice cream 40 offer of ice cream , draw 100 bag time will be 60 different bag of flavor ice cream
x-5>10.7 pls answer in with in 2 or 3 mins
Answer:
[tex]x > 15.7[/tex]
Step-by-step explanation:
1) Add 5 to both sides.
[tex]x > 10.7 + 5[/tex]
2) Simplify 10.7 + 5 to 15.7.
[tex]x > 15.7[/tex]
Therefor, the answer is x > 15.7
Answer:
[tex]x \geq 15.7[/tex]
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
Inequality Form: 15.7
Hope this helps
Which is the volume of the rectangular prism?
A rectangular prism with length as 8 m, height as 3 m, and width as 5 m.
Which expression is equivalent to -3 (x - y) ?
0 -3x -3y
0-3x + 3y
0 -3x - y
0-3x + y
Answer:
-3 (x - y)
expand
-3.(x) -3 (-y)
-3.(x) +3 (y) multiplication of (-1).(-1) = (+1)
Step-by-step explanation:
In a recent academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies. The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows:
$1,589, $593, $1,223, $869, $423, $1,720, $708, $1,425, $922 and $308.
a. What is the mean and median change in the cost? (Explain how you obtain your answer.)
b. What is the five-number summary of the change in the cost? (Explain how you obtain your answer.)
c. What is the standard deviation of the change in the cost? (Explain how you obtain your answer.)
d. The middle 50% of the change in the cost is spread over what value? (Explain how you obtain your answer.)
e. What is the coefficient of variation of the change in cost? (Explain how you obtain your answer.)
f. What are the (absolute values of) the Z scores of the change in cost?
Answer:
1. mean = 980 median = $895.5
2. 308, 593, 895.5, 1425, 1720
3. 491.7978
4. 895.5
5. 50.28%
Step-by-step explanation:
1. mean $1,589+$593+$1,223+$869+$423+$1,720+$708+$1,425+$922+$308/10
= 9780/10
= $978
median
We first arrange the values in ascending order
308,423,593,708,869,922,1223,1425,1589,1720
number of observation is even so we pick the 2 values in the middle and divide by 2
= 869+922/2
= $1791/2
$895.5
2. five number summary of change
the botom half of th dta set = 308,423,593,708,869
minimum value = 308
n = 5
median = 593 = q1
from 1, q2 = median = $895.5
the upper half of data
922,1223,1425,1589,1720
n = 5
median = $1425
maximum value = $1720
the five number summary of change in cost is therefore
308, 593, 895.5, 1425, 1720
3. standard deviation
[tex]s =[\sqrt{x-barx} ]^{2} \frac{1}{n-1}[/tex]
bar x is the mean = 978
($1,589-978)²+ ($593-978)²+ ($1,223-978)²+ ($869-978)+ ($423-978)²+ $1,720-978)²+($708-978)²+ ($1,425-978)²+ ($922-978)²+ ($308-978)²
= 2176786
=[tex]\sqrt\frac{1}{10-1} {2176786} \\\sqrt{ \frac{2176786}{9}[/tex]
= [tex]\sqrt{241865.1}[/tex]
= 491.7978
4. middle 50% is spread over the median, which is 895.5
5. coefficient of variation
= s/bar x * 100
= 491.7978/978 * 100
= 49179.78/978
= 50.28%
6. z score = x - mean/s
x = 1589
= 1589-978/491.7978
= 1.2424
for x = 593
593-978/491.7978
= -0.7828
= 0.7828
for x = 1223
1223-978/491.7978
= 0.4982
for x = 869
869-978/491.7978
= -0.2216
= 0.2216
for x = 423
423-978/491.7978
= -1.1285
= 1.1285
x = 1720
1720-978/491.7978
z = 1.5088
for x = 708
708-978/491.7978
= -0.5490
= 0.5490
for x = 1425
1425-978/491.7978
= 0.9089
for x = 922
922-978/491.7978
= -0.1139
= 0.1139
for x = 308
308-978/491.7978
= -1.3624
= 1.3624
2. A student measured the mass of an object
to be 56 g, but the actual mass was 53 g.
What is the absolute error?
Quickkkkkk
The absolute Error is 5.66%.
What is absolute Error?The discrepancy between a quantity's measured or inferred value and its actual value is known as the absolute error.
The absolute error is insufficient because it provides no information about the significance of the error. An inaccuracy of a few centimetres when estimating the kilometres between cities is insignificant and unimportant. A measurement mistake of a few centimetres when measuring tiny machine parts is a highly important defect. Although both inaccuracies are in the centimetre range, the second one is more serious than the first.
Given:
Actual Mass = 53g
and, Measure mass= 56 g
So, Absolute Error = | 56- 53 / 56| x 100
Absolute Error = |3 / 56| x 100
Absolute Error = 0.056603 x 100
Absolute Error = 5.66%
Hence, the absolute Error is 5.66%.
Learn more about Absolute Error here:
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Please Help!!!!! Ill give thanks and rate best!
Answer:
1/216
1/8 *1/3³ ( cross multiply ) = 1/216
Did you only need the answer for the one on the top right?? Or all of them because If you need all of them I can do that too I am just assuming you just needed that one because it was selected.
NO LINKS (QUESTION BELOW)
Answer:
D
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Is 1/7 greater than -5
Answer:
no
Step-by-step explanation:
1/7 is positive, -5 is negative. Negative is less than positive