A population has a standard deviation of 11. What is the approximate standard error of the mean for a sample size of 150?
Answers
Answer:
the approximate standard error is 0.90
Step-by-step explanation:
The computation of the approximate standard error is shown below:
As we know that
Standard error is
= Standard deviation ÷ √mean
= 11 ÷ √150
= 11 ÷ 12.247
= 0.90
Hence, the approximate standard error is 0.90
Related Questions
Will GIVE BRAINLIEST Select the correct answer.
Which statement describes the end behavior of the function?
12 100
1 2 – 31 – 4
B.
A. The function approaches 0 as x approaches - and co.
The function approaches 1 as x approaches -o and co.
C. The function approaches 5 as x approaches -oo and co.
X D. The function approaches 25 as x approaches - and co.
Answers
9514 1404 393
Answer:
B. f(x) → 1
Step-by-step explanation:
When x is very large, the only terms that matter are the ones of highest degree. That ratio is ...
f(x) = x^2/x^2 = 1
The function value approaches 1 for very large x.
Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows:
79.6 75.1 78.2 74.1 73.9 75.0 77.6 77.3 73.8 74.6 75.5 74.0 74.7 75.9 72.7 73.8 74.2 78.1 75.4 76.3 75.3 76.2 74.9 78.0 75.1 76.8
If necessary, round all intermediate calculations to four decimal places (e.g. 12.3456).
Required:
a. Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why?
b. Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.
c. Calculate point estimates of the population variance and the population standard deviation.
d. Calculate the standard error of the point estimate found in part (a). Interpret the standard error.
e. Calculate a point estimate of the proportion of all connectors.
Answers
Answer:
a. A point estimate of the mean pull-force of all connectors in the population is approximately 75.7385
The point estimate for the mean used is the sample mean
b. The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% is 74.3131 N
c. The point estimate of the population variance is approximately 2.8577
The point estimate for the population standard deviation is approximately 1.6905
d. The standard error of the mean is approximately 0.3315
e. The point estimate of a proportion of the connectors are;
(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385), (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)
Step-by-step explanation:
The given data for the pull-force (pounds) for connectors used in an automobile engine are presented as follows;
Pull-force (pounds); 79.6, 75.1, 78.2, 74.1, 73.9, 75.6, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.8, 72.7, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8
a. A point estimate of the mean pull-force of all connectors in the population is the sample mean given as follows;
[tex]Mean, \ \overline x = \dfrac{\Sigma x_i}{n}[/tex]
[tex]\Sigma x_i[/tex] = The sum of the data = 1966.6
n = The sample size = 26
Therefore, the sample mean, [tex]\overline x[/tex] = 1966.6/26 ≈ 75.7385
The point estimate for the mean is approximately 75.7385
The sample mean was used as the point estimate for the mean because it is simple and representative of the sample
b. The weakest 50% of the connectors are;
72.7, 73.8, 73.8, 73.9, 74, 74.1, 74.2, 74.6, 74.7, 74.9, 75.1, 75.1, 75.3
The sum of forces that separates the weakest 50%, [tex]\Sigma x_{i}_{50 \%}[/tex] = 966.2
The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% = [tex]\Sigma x_{i}_{50 \%}[/tex]/13 = 966.2/13 = 74.3131 N
c. The estimate of the population variance is the sample variance, given as follows;
[tex]s^2 =\dfrac{\sum \left (x_i-\overline x \right )^{2} }{n - 1}}[/tex]
Where;
[tex]{\sum \left (x_i-\overline x \right )^{2} }[/tex] ≈ 71.4415
Therefore;
[tex]s^2 =\dfrac{71.4415 }{25}} \approx 2.8577[/tex]
The point estimate of the population variance, s², is 2.8577
The point estimate for the population standard deviation, σ, is tha sample standard deviation, 's', given as follows;
s = √s² = √2.8577 ≈ 1.6905
The point estimate for the population standard deviation ≈ 1.6905
d. The standard error of the mean is given as follows;
[tex]SE_{\mu_x} = \dfrac{s}{\sqrt{n} }[/tex]
Therefore, we have;
[tex]SE_{\mu_x}[/tex] = 1.6905/√(26) ≈ 0.3315
The standard error indicates the likely hood of the difference between the sample mean and the population mean
e. The point estimate of a proportion of the connectors are;
(Number of sample with a given pull-force value)/(Sample size (26))
Therefore, using Microsoft Excel, we have
(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385), (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)
Acellus
Alternate exterior angles are congruent.
Which angle forms a pair of alternate
exterior angles with angle 2?
4241
4443
46145
4847
42 =<[?]
Enter
Answers
Answer:
angle 7
Step-by-step explanation:
Answer:
angle 7 angle forms a pair of alternate
exterior angles with angle 2.
Here are Xavier's bowling scores:
132, 140, 130, 190, 112, 200, 185, 172, 163,
151, 149
What is the upper quartile?
helppp
Answers
Answer:
UQ = 185
Step-by-step explanation:
the median separates the data set into the lower quartile and upper quartile
The median of this data set is 151
The lower quartile is the median of the lowest five values, or 132
The upper quartile is the median of the highest five values, or 185
The upper quartile score for highest half of the score is 185.
What is median?
A median is the center value of a given list of observations when arranged in an order. The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.
For the given situation,
Xavier's bowling scores: 132, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149.
Arrange this scores in the ascending order to find the median.
⇒ [tex]112, 130, 132, 140, 149, 151, 163, 172, 185, 190, 200[/tex].
There are totally 11 scores.
So the median is middle most number, that is 5th score in the list.
The median is [tex]151[/tex].
The scores after 151 are highest half scores. Now there are five scores.
Upper quartile scores list are [tex]163,172,185,190,200[/tex].
Thus, the middle most score [tex]185[/tex] is the upper quartile score.
Hence we can conclude that the upper quartile score for highest half of the score is 185.
Learn more about median here
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MEMO
To: All businesses in Simpsons Square Mall
From: Louise Pembrooke, Simpsons Square Mall Manager
Re: New garbage collection rules
Simpsons Square Mall has hired a new waste collection company. Quick Clean, Inc., will be collecting garbage and recycling from all businesses starting next Monday. Collection days will not change, nor will the types of garbage and recycling that are acceptable to dispose of. The pickup time will be two hours later, so please adjust your schedules accordingly.
Each business will be given one blue garbage can and one green recycling bin. Full garbage cans must weigh no more than 40 pounds. Recycling bins must weigh no more than 20 pounds. Do not overfill the garbage cans. Debris that is not in cans must weigh no more than 10 pounds. Items put in the compactor should weigh no more than 60 pounds, except in December when it may weigh up to 70 pounds. Put your garbage in the alley behind your business’s back door.
You own a store in Simpsons Square Mall. Each garbage can must weigh no more than:
10 pounds.
20 pounds.
40 pounds.
60 pounds.
70 pounds.
Answers
Answer:
hhhhhh
Step-by-step explanation:
i think it is 40
Look at picture, please I need help on this question
Answers
Answer:
Step-by-step explanation:
look at graph for answers, vertex is at the point
Would you rather receive $1,000 a year for 10 years or $800 a year for 15 years if the interest rate is 5%? What if the interest rate is 20%? (LOS-3)
Answers
k2 is a
a. monomial
b. binomial
c. trinomial
Answers
monomial
Step-by-step explanation:
k2 is a monomial because having only one element is monomial
Ms. Reiger’s students found a total of 16 bird feathers. The line plot shows the lengths, in inches, of the bird feathers found by the students
Look at the line plot, and then select the two correct statements about the bird feathers.
The difference between the lengths of the shortest feather and the longest feather is 318 inches.
A. The difference between the lengths of the shortest feather and the longest feather is 238 inches.
B. The combined length of the two longest feathers is 828 inches.
C. The combined length of the shortest feather and the longest feather is 738 inches.
D. The combined length of the shortest feather and the longest feather is 618 inches.
Answers
Answer:
i need the picture to answer the question, sorry. but if you give me the picture im happy to answer it
Step-by-step explanation:
The number of crayons in a box is forty
less than twice the number of markers.
Together, there are 140 coloring tools.
How many are crayons?
Answers
+40 +40
2x=180
————
2x
X=90
The correct answer would be 90 crayons
There are 80 Crayons.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The number of crayons in a box is forty less than twice the number of markers.
let the number of markers be x.
So, Number of Crayons = 2x- 40
and, there are 140 coloring tools.
x+ 2x- 40= 140
3x = 180
x= 60
So, Number of Crayons = 2(60) - 40 = 120- 40= 80
Hence, there are 80 Crayons.
Learn more about Algebra here:
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Rafael is training for a triathlon, which includes swimming, biking, and running. The graph shows the total hours he spent swimming over the first 4 weeks of his training. Swim Training 0 Is the relationship between the time spent swimming and the number of weeks proportional? Complete the statements. 30 27 The points ? a straight line that 24 21 ? 4 through the origin. 18 Time (h) 15 12 6 3 0 1 2 3 4 5 6 7 8 9 10 0
Answers
Answer:
For people that are doing this lesson on I-Ready
The points Lie on a straight line that goes through the origin.
The graph shows a relationship that is Proportional.
Step-by-step explanation:
Answer:
Step-by-step explanation:
lie on
goes
Determine if each proportion is true or false
5/6= 15/18
3/5 = 60/100
20/14 =10/7
4/13= 10/32
Answers
Answer:
True
True
True
False
Step-by-step explanation:
15/18 simplified is 5/6
3/5 multiply both numerator and denominator by 20 to get 60/100
20/14 simplified is 10/7
4/13 multiply both by 2.5 to get 10/32.5 and 32.5 does not equal 32
Answer:
Step-by-step explanation:
[tex]\frac{5}{6}=\frac{15}{18}[/tex]
Cross multiply
5 *18 = 15 *6
90 = 90
True. They are in proportion
[tex]\frac{3}{5}=\frac{60}{100}[/tex]
Cross multiply
3*100 = 60 *5
300 = 300
True. They are in proportion
[tex]\frac{20}{14}=\frac{10}{7}[/tex]
Cross multiply
20*7 = 10*14
140 = 140
True. They are in proportion
[tex]\frac{4}{13}=\frac{10}{32}[/tex]
Cross multiply
4*32 = 10*13
128 ≠ 130
False. They are NOT in proportion
Some entrepreneurs wish to establish a restaurant in a central location so that it will serve three suburbs. On a rectangular grid with axes labelled X1 (horizontal) and X2 (vertical), the centres of the three suburbs are located at (1,2, (6,18), and (12,8). All roads run east-west (parallel with the X1 axis) or north-south (parallel with the X2 axis). The distance between any two points is therefore rectilinear. For example, the distance between the centres of suburbs 2 and 3 is |12- 6| + | 8-18|= 6 +10 =16.
Required:
a. Formulate the restaurant location problem as a goal programming model.
b. Use the Excel Solver to determine the best location for the restaurant.
Answers
The dot plot shows the number of books Melanie's classmates have read. Approximately what percent of Melanie’s classmates have read more than 7 books
Answers
Answer:
.30
Step-by-step explanation:
PLZ HELP ASAP 20 POINTS PLZ ANSWER THIS HOUR IF AC = 26 cm, what is BC?
20 cm
24 cm
26 cm
2√194cm
Answers
AB = BD = 10cm
Now using the Pythagorean theorem:
26^2 = 10^2 + BC^2
Simplify:
676 = 100 + BC^2
Subtract 100 from both sides:
576 = BC^2
Take the square root of both sides:
BC - sqrt(576)
BC = 24 cm
what is the measure of angle k?
Answers
Answer:
59°
Step-by-step explanation:
a+16+a-18=180
2a-2=180
2a=182
a=91
n=91+16=107
m=91+30=121
l=91-18=73
107+121+73=301
K=360-301=59
Write out the sample space for the given experiment. Use the following letters to indicate each choice: O for olives, M for mushrooms, S for shrimp, E for eggs, I for Italian, and H for honey mustard. When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: olives, mushrooms. Also, you will add one of following meats: shrimp, eggs. Lastly, you will decide on one of the following dressings: Italian, honey mustard.
Answers
Answer:
Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}
Step-by-step explanation:
Given
Salad Meats Dressings
O = Olives S = Shrimp I = Italian
M = Mushroom E = Egg H = Honey mustard
To determine the sample space, we simply select one from each column.
Take for instance, a combination of Olives, Shrimp and Italian will be represented as: OSI
So, the following sample space exists:
Sample Space = {(OSI), (OSH), (OEI), (OEH), (MSI), (MSH), (MEI), (MEH)}
Find the value of x.
What theorems would/could you use to find x?
Thank you in advance
Answers
Answer:
a. Linear pair theorem
b. x = 40
Step-by-step explanation:
a. x° and (4x - 20)° are angles on a straight line, so, they are a linear pair. Therefore, we would apply the linear pair theorem, which says the sum of a linear pair gives us 180°.
b. x° + (4x - 20)° = 180° (linear pair theorem)
Solve for x
x + 4x - 20 = 180
5x - 20 + 20 = 180 + 20
5x = 200
5x/5 = 200/5
x = 40
Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service. Assuming all conditions for inference are met, which of the following is a 90 percent confidence interval for the difference in population proportions (City C minus City K) who subscribe to the streaming service?
A. (0.17 – 0.27) + 1.65, 0.27 0.17 V 200
B. (0.17 – 0.27) 1.96 V (0.17)(0.83)+(0.27)(0.73) 400
C. (0.17 – 0.27) + 1.657 (0.17)(0.83)+(0.27)(0.73) 400
D. (0.17 – 0.27) + 1.96V (0.17)(0.83)+(0.27)(0.73) 200
E. (0.17 – 0.27) + 1.657 (0.17)(0.83)+0.27)(0.73) 200
Answers
Answer:
[tex]CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}[/tex]
Step-by-step explanation:
Given
[tex]n = 200[/tex]
[tex]x_1 = 34[/tex] -- City C
[tex]x_2 = 54[/tex] --- City K
Required
Determine the 90% confidence interval
This is calculated using:
[tex]CI = \bar x \± z\frac{\sigma}{\sqrt n}[/tex]
Calculating [tex]\bar x[/tex]
[tex]\bar x = \bar x_1 - \bar x_2[/tex]
[tex]\bar x = \frac{x_1}{n} - \frac{x_2}{n}[/tex]
[tex]\bar x = \frac{34}{200} - \frac{54}{200}[/tex]
[tex]\bar x = 0.17 - 0.27[/tex]
For a 90% confidence level, the z-score is 1.65. So:
[tex]z = 1.65[/tex]
Calculating the standard deviation [tex]\sigma[/tex]
[tex]\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }[/tex]
So:
[tex]\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }[/tex]
[tex]\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}[/tex]
So:
[tex]CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}[/tex]
[tex]CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}[/tex]
Which situation can be represented by the equation 4x=32
A-Barry has $32 and can spend it on 4 different items. How much money does he have left over?
B-Hailey needs to make $32 dollars this week. She gets 4 dollars per chore she does. How many chores, X, does she need to do to get $32?
C-Emberly has to finish 32 paper by friday. If each paper take 4 minutes, how many minutes will take her to finish?
Answers
Answer:
8
Step-by-step explanation:
4x=32
÷4 ÷4
__________
x=8
What is the correct answer?
Answers
Answer:
i
Step-by-step explanation:
dontkow
Hey please can someone help me and thank you
Answers
Step-by-step explanation:
first change meter to centimeters
2.5×100= 250
60+35+90=185
250 - 185= 65cm
65 is the final answer
meter to centimeters
2.5×100= 250
60+35+90=185
250 - 185= 65cm
= 65cm
Pleeease mark brainliest (it would make me super happy :))
ok I really need help on this !
Answers
Answer:
height = 20 km
Step-by-step explanation:
Area of a trapezoid = (base + base / 2) x height
180 km^2 = (4 + 14 / 2) x height
180 km^2 = (18 / 2) x height
180 km^2 = 9 x height
height = 20 km
(fill in the numbers and work backwards)
Plz I want the answer quickly!!
Answers
Answer:
See uploaded image
Step-by-step explanation:
The 3 right angles are WZY, YZX, and WYX. Sides WX, YW, and YX are similar on their respective similar triangles
Open the Screenshot to see the problem
Answers
PLEASE HELP ME!!!!!
sin(a-28)=cos4
a=?
Answers
Answer:
sin(a−28)=cos(4)
sin(a−28)=−0.653644
Step-by-step explanation:
how to divide m96 in the ratio 5:7
Answers
Hey! I dont know if this will help though
To solve this question, you must first add together the two halves of the ratio i.e. 4 + 2 = 6. Then you need to divide the total amount using that number i.e. 600/6 = 100. To work out how much each person gets, you then multiply their share by 100.
Ms. Scherbauer and her family go out to dinner and spend $65.20 on their meal. If they want to leave their waitress a 20% tip, how much do they pay in total?
Answers
Answer:
$78.24
Step-by-step explanation:
what is the total surface area of the rectangle prism? Help me please someone ASAP!
Answers
Answer:
B) 256
Step-by-step explanation:
w = 4
l = 12
h = 5
Formula:
SA = 2(wl + hl + hw)
SA = 2(4*12 + 5*12 + 5*4)
SA = 2(48 + 60 + 20)
SA = 2(128)
SA = 256
Need help please anyone
Answers
9514 1404 393
Answer:
A) The angles marked ∠7 and ∠8 are vertical angles.
B) The angles marked with expressions in y are also vertical angles, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.
C) y = 24; ∠7 = ∠8 = 89°
Step-by-step explanation:
A) The angles marked ∠7 and ∠8 are vertical angles, comprised of opposite rays and having a common vertex.
__
B) The angles marked with expressions in y are also vertical angles. Vertical angles are congruent, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.
__
C) (5y-29)° = (3y+19)°
2y = 48 . . . . . . . . . . . . divide by °, add 29-3y
y = 24 . . . . . . . . . divide by 2
Angles 7 and 8 are supplementary to the angles marked with expressions in y.
∠7 = ∠8 = 180° -(5y -29)° = 209° -5(24)°
∠7 = ∠8 = 89°
