The owner of a smart watch would like to estimate the mean number of steps they take per day. To do so, they select a random sample of 30 days from the previous year's data and record the number of steps they took on each of those days. The mean number of steps taken per day was 8,575 with a standard deviation of 2,125 steps. What is the value of the standard error of the mean?
O 70.833 O 387.970 O 394.603 O 2,125​

Answers

Answer 1

The standard error is an estimate of the standard deviation of the sampling distribution. The value of the standard error of the mean is 387.970.

What is the standard error?

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Suppose that we're given that:

Population standard deviation = σ

Size of the sample we're working on = n

Then, the standard error can be calculated as:

[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]

where SE denotes the standard error.

The standard error of the mean can be written as,

SE = σ/√n

SE = 2,125/√30

SE = 387.970

Hence, the value of the standard error of the mean is 387.970.

Learn more about Standard Error:

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Related Questions

Graph the image of rectangle CDEF after a translation 2 units right and 10 units down.

Answers

Answer:

Graph these points:

(-6, -6)

(0, -6)

(0, -1)

(-6, -1)

Can someone help me please!!!

Answers

Answer:

5. is 18 your welcome

Step-by-step explanation:

1,000 km = 1 mm
True or False

Answers

Answer: Heavily false. False by a long shot.

Step-by-step explanation: 1,000 kilometers is equivalent to 1e+9 millimeters. This is nine zeros after 1. So, this can be simplified as 1,000,000,000 milimeters, or rather, 1 billion millimeters. You can calculate this yourself by multiplying 1000 by 1,000,000 (1km = 1,000,000 mm.)

Help plez . What is the mean absolute deviation of the data set?

8, 5, 12, 4, 5, 8, 7


1

2

5

7

Answers

Answer:

2

Step-by-step explanation:

first, add terms

8 + 5 + 12 + 4 + 5 + 8 + 7 = 49

seven terms, therefore we divide by 7

49/7 = 7

find distance

8-7= 1

7-5= 2

12-7=5

7-4=3

7-5=2

8-7=1

7-7=0

added together you get 14,

14/7 = 2

your answer is 2

hope this helps:)

The question is attached.

Answers

Answer:

B

Step-by-step explanation:

1/8 + 1/8 + 1/8 + 2/8 + 5/8 = 10/8 (The total amount of oj in each jug.)

(10/8)/5 = 2/8 (5 for the amount of jugs.)

2/8 = 1/4

which of the following would be considered a statistical question

1. who was the highest paid athlete in 2020?
2. how much does a gallon of gasoline cost?
3. how many people voted for president in 2016?
4. what are the different types of maple trees?​

Answers

i think question 3 is the answer!!!

A 12 _ foot ladder is leaning against a house the ladder reaches 7.7 feet up the wall wha is the angle of elevation of the ladder?

Answers

Check the picture below.

Make sure your calculator is in Degree mode.

The diameter of a circle is 8 in. Find the circumference \textit{to the nearest tenth}to the nearest tenth.

Answers

Answer: C ≈ 25.1

Step-by-step explanation:

      The circumference of a circle can be found with the following formula. We will plug in the diameter given, and solve.

C = dπ

C = (8)π

C ≈ 25.1

A rectangular prism with a length of 3.8 meters and a width of 1.5 meters has a volume of 16.53 cubic meters.

What is the height of the prism?


2.9 m

6.525 m

11.23 m

21.83 m

Answers

16.53/3.8x1.5
Answer. 2.9

The turtle’s distance from his starting point is increasing between
seconds.



The turtle’s distance from his starting point is constant between
seconds.



The turtle’s distance from his starting point is decreasing between
seconds.

Answers

Answer:

Option A is the correct option

Answer:1) 0-6, 2)6-8, 3)8-12

Step-by-step explanation:

can anyone tell me what point I plot these two at pls

Answers

Answer:

[tex]x^{2} +y^{2}=25[/tex]

[tex]x^{2} +y^{2}=5[/tex]

Radius: 5

Radius: [tex]\sqrt{5}[/tex]

Step-by-step explanation:

(see images below)

Hope this helped!

~rere

A student would like to estimate the mean length of words in a book report he just finished writing. He selects a random sample of 20 words and determines the mean length to be 4 characters. Later, he discovers how to use a built-in function of his word-processing program that reveals that the mean length of all words in his book report is 4.3 characters. Which of the following describes the number, 4.3?

sample
statistic
population
parameter

Answers

Answer:

Parameter

Step-by-step explanation:

A statistic is a piece of data we derive from analyzing the data from a sample, a subset of a larger population. A parameter is derived from analyzing that population. Here, we would call the mean of the sample - 4 - a statistic, and the mean of the population - 4.3 - a parameter.

Plot the points: A(4, 5), B(3, 3), C(6.9), D(8, 13), and E(10, 15).
All but one of the points are on the same line. Which one is not?

Answers

Answer:

E (10, 15)

Step-by-step explanation:

Plotting the points on a graph : (Check attachment)

On plotting the points, and joining a line that connects all points except one, it becomes evident that the point not on the line is :

E (10, 15)

Answer:

E

Step-by-step explanation:

14 boys and 16 girls in class
What is the ratio of girls to the total number of students in class? Write ratio in 3 ways

Answers

Answer:

1) 16 : 30

2) 8 : 15

3)  [tex]\displaystyle \frac{8}{15}[/tex]

Step-by-step explanation:

Boys = 14

Girls = 16

Total students:

= 14 + 16

= 30

Ratio of Girls to total number of students in class:

= 16 : 30

÷2     ÷2

= 8 : 15

= [tex]\displaystyle \frac{8}{15}[/tex]

[tex]\rule[225]{225}{2}[/tex]

“Solve the following system of equations using the method of substitution.” Please help!!!

Answers

Answer: -17/4

Step-by-step explanation:

i need this answer as fast and soon as possible


Each of the digits 2, 3, 4, 5 and 7 must be placed in the circles so that the sum of each straight line is 15.


(Fill in the empty circle spaces)

Answers

Answer:

1st horizontal lines is 2,5,8=15

2nd horizontal line 4,5,6

vertical line 5,5,5

Answer:

See below ~

Step-by-step explanation:

The ages of Charlotte and Olivia are in the ratio 6:10. After 10 years, their ratio will become 4:6. Find their ages.

Answers

Answer:

Charlotte's age = 30 years

Olivia's age = 50 years

Step-by-step explanation:

Present ages of Charlotte & Olivia = 6:10.

Then, their present ages are:

Charlotte = 6x

Olivia = 10x

Now, in 10 years, their ratio = 4:6

Then,

Ratio of Charlotte's & Olivia's present age + 10 years each = Ratio of their ages in 10 years

[tex]\frac{6x + 10}{10x + 10} = \frac{4}{6} \\6(6x + 10) = 4 (10x + 10) \: \: \: \: [\mathrm{cross\: multiplication}]\\36x + 60 = 40x + 40\\36x - 40x = 40 - 60\\4x = 20\\\boxed{\bf\:x = 5}[/tex]

So,

Charlotte's present age [tex]= 6x = 6(5) = {\boxed{\bf\:30 \:years}[/tex]

Olivia's present age = [tex]10x = 10(5) = \boxed{\bf\:50 \: years}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

work out value of a

Answers

Answer:

a=99

Step-by-step explanation:

First, let's subtract 136 from 180. We get 44, which means that the angle of the other side is 44 degrees.

180-136=44

Next, let's subtract 125 from 180. 180-125 = 55. This means the other angle next to 125 degrees is 55 degrees.

180-125=55

We know that the sum of a triangle's angles is = 180 degrees

We can find the last angle of the triangle by adding 44 & 55, and then subtracting that sum from 180 (the total sum).

44+55=99

180-99=81

For our last and final step, let's subtract 81 from 180 to find the angle NEXT to 81 (a).

180-81=99

a = 99 degrees

Hope this helped :) If you have any questions, don't be afraid to comment!

Answer:

The value of a is 99°check photo for detailed analysis

Solve for x and find the degree of the other two angles.
m<2 = 9x + 6

Answers

Answer:

x = 7 and the degree of other two angles is 69.

Step-by-step explanation:

As we can see it is an isosceles triangle so base angles of an isosceles triangle are equal so

9x + 6 + 9x + 6 + 42 = 180 (being sum of angles of triangle )

18x + 54 = 180

18x = 180 - 54

18x = 126

x = 126/18

x = 7

the degree of the other two angle is

= 9*7 + 6

= 69

Hope it helps :)

Ajay wraps a gift box in the shape of a triangular pyramid. The figure below shows a
net for the gift box.
8.66 m
10 m
If all the triangles are equilateral, how much wrapping paper
did he use, in square meters?

Answers

Ajay wraps a gift box in the shape of a triangular pyramid. The amount

of wrapping paper he uses is 173.2 square inches.

How to calculate the surface area of a triangular pyramid?

The formula for calculating the total surface area is expressed as:

Area = 4(area of triangle)

The area of the triangle

A = 0.5(8.66)(10)

A = 43.3 square inches

The total surface area will be

TSA = 4(43.3)

TSA = 173.2 square inches

Hence the amount of wrapping paper Ajay uses is 173.2 square inches

Learn more on the total surface area here:

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Lisa's test grades are 79, 89 and 90

b. There will be one more test this year. If Lisa wants her test average to at least be 88, what is the lowest grade she could get on her last test.

Answers

Answer:

94

Step-by-step explanation:

Equating the mean to the scores :

88 = 79 + 89 + 90 + x / 4352 = 258 + xx = 94
Mean=Sum of data/No of data

So

Let that be n

n+79+89+90/4=88n+258/4=88n+258=352n=94

What is “y is __ times x”

Answers

Answer:

6

Step-by-step explanation:

Find the distance between the points L(-7, -6) and M(-2, 6).

Answers

I think it is 13 to find it you would count the squares on the bottom and side so the bottom is 5 and the side is 12 so you multiply 5x5 and you get 25 and 12x12 is 144 so you add them together and you get 169 and you find the square root of 169 and you get 13

there are light-bulbs at the factory

Answers

nice. are they filament lightbulbs or fluorecent lightbulbs

How can these models be used to find the sum 1.8 + 1.56?



Enter your answers in the boxes.

The models show a total of 2 wholes,
tenths, and
hundredths. After regrouping 10 tenths into 1 whole, there are
wholes,
tenths, and
hundredths. Therefore, the sum of the numbers is
.
First row. One large square divided into a 10 by 10 grid of 100 small squares. Eight columns, each divided into 10 small squares. Second row. One large square divided into a 10 by 10 grid of 100 small squares. Five columns, each divided into 10 small squares. Six small squares.

Answers

Answer:

The sum of  1.8 and 1.56 is 3.36 according to the model

Sum of decimals

Given the expression  1.8 + 1.56

Using the partial sum method

1.8 + 1.56 = (1.0 + 0.8) + (1.0+0.56)

Regroup as whole and decimal number

1.8 + 1.56 = (1.0 + 1.0) + (0.8 +0.56)

1.8 + 1.56 = 2.0 + 1.36

1.8 + 1.56 = 3.36

Hence the sum of  1.8 and 1.56 is 3.36 according to the model

Let X and Y be the following sets:
X = {5, 6, 10, 12, 15, 18}
Y = {6, 10, 12, 15)
Which of the following is the set X UY?

Answers

Answer:

i think the answer is X, because the elements of both X and Y are in X

Please help me with this really please

Answers

Answer:

You need 443.2 square inches of wrapping paper to completely cover the prism.

Step-by-step explanation:

Calculate the area of each side.

Triangles:

Base * Height * 1/2

10 in. * 8.7 in. * 1/2

87 in.^2 * 1/2

43.5 in.^2

There are two sides with the triangle so we multiply the 43.5 in.^2 by two

(43.5 in.^2) * 2

87 in.^2

Side Rectangles:

Length * Width

13 in. * 8.7 in.

113.1 in.^2

There are two sides with this size rectangle so we multiply the 113.1 in.^2 by two

(113.1 in.^2) * 2

226.2 in.^2

Bottom Rectangle

Length * Width

13 in. * 10 in.

130 in.^2

There is only one side with the bottom rectangle.

Add up all the calculate areas.

Triangles + Side Rectangles + Bottom Rectangle

87 in.^2   +     226.2 in.^2      +     130 in.^2

443.2 in.^2


A pool is leaking at a rate of a quarter of a gallon per minute. What is this rate in gallons per hour?

Answers

Answer:

15 gallons per hour

Step-by-step explanation:

So, what is given in the equation is that 1/4 of a gallon is leaking per minute. We have to change this to gallons per hour. Set it up like this:

[tex]\frac{\frac{1}{4}gallon }{1 minute} *\frac{60 min}{1 hour}[/tex]

Use a calculator and multiply 1/4 by 60.

After doing this, you should get:

[tex]\frac{15 gallons}{1 hour}[/tex]

Thus, the answer is the pool will leak 15 gallons per hour.

Hope this helps!! Ask questions in comments if needed!

Translate shapes
Draw the image of AABC under a translation by 2 units down.
y
6
5+
3
2
A
A
-7 -6 4 -3 -2
2
1 2 3 4 5 6 7
-24
-3

Answers

Answer:

Just think about it.............. 77 + 33 = 100

Step-by-step explanation:

You add

help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y = -3x - 1

hope this helps!

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