In a sample of 31 kids, their mean time on the internet on the phone was 36.5 hours with a sample standard deviation of 8.3 hours. Which distribution would be most appropriate to use, when we assume these times are normally distributed

Answers

Answer 1

Answer:

Normal distribution

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.

In this question:

Sample of 31 kids, of a normally distributed variable. So, by the Central Limit Theorem, the most appropriated distribution to use is the normal distribution.


Related Questions

HELP ASAP!! I need help thanks!!

Answers

Answer:

vertices

Step-by-step explanation:

I looked at stuff at it says vertices

Answer:

I think option 3rd is correct the vertices.

Step-by-step explanation:

B is joining the D and C together.  

Pls help I’ll brainlest for the right answer

Answers

Answer: 101 2/3

Step-by-step explanation:

Which compound inequality could be represented by the graph?
-5 -4 -3 -2 -1 0
1
2
3 4
5
-4 -2 sxs-1
Oxs-1 or x > 0
Ox<3 or x>-1

Answers

Answer:

D, just got it righ,t May 2021

Step-by-step explanation:

x ≤ 3 or x ≥ -1 represent the given graph.

Option (4) is correct.

What is Inequality?

Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality.

As per the given diagram:

A line is drawn and a certain range of values are marked on the line,

To find the compound inequality that could be represented by the graph.

Because a number line with only real numbers is displayed in the provided graph.

We identify the solution set for each option by considering it separately.

1) -4 ≤ x ≤ 4

Since, the solution set contain only numbers between -4 and 4.

So it is false.

2) -2 ≤ x ≤ -1

This is a wrong representation.

3) x ≤ -1 or x ≥ 0

This represents all real numbers, excluding numbers between -1 and 0

So it is false.

4) x ≤ 3 or x ≥ -1

So it represents all the real numbers on number lines as shown in the graph below.

So, it is true.

x ≤ 3 or x ≥ -1 represent the given graph.

Learn more about Inequality here:

brainly.com/question/30231190

#SPJ7

help hlp hlp hlp pls pls pls pls

Answers

Answer:

10m

Step-by-step explanation:

Hope this helps! Please give me brainliest and tysm!

Answer:

10 m

Step-by-step explanation:

Area of the triangle

=40 m²

height (h) = 8 m

Base (b) = ?

We know

Area of triangle = 1/2 * b * h

40 = 1/2 * b * 8

40 = 4b

b = 10 m

Hope it will help :)

Amy bought some shirts and skirts for $168. Each shirt cost $17, and each skirt cost $22. She
bought a total of 9 items. How many shirts did Amy buy

Answers

Answer:

3 shirts and 6 skirts

Step-by-step explanation:

lets call number of shirts x and number of skirts y

so x+y=9

17x+22y=168

multiplying the first equation by 17 we get

17x+17y=153

17x+22y=168

subtracting we get

5x= 15

x=3

and we know x+y=9 so y=6

so 3 shirts and 6 skirts

if my answer helps please mark as brainliest.

3 shirts and 6 skirts I think

Please help will do anything thank you

Answers

Answer:

Step-by-step explanation:

a). Stock price arranged as arithmetic sequence will be,

   5, 8, 11, 14

b). Since, explicit formula of an arithmetic sequence is given by,

   [tex]a_n=a+(n-1)d[/tex]

   Here, [tex]T_n[/tex] = nth term of the sequence

   a = first term

   n = number of term

   d = common difference

   From the table attached,

   First term of the sequence 'a' = 5

   Common difference 'd' = 8 - 5 = 3

   Therefore, explicit formula for the given sequence will be,

   [tex]a_n=5+3(n-1)[/tex]

   [tex]a_n=2+3n[/tex]

c). Slope intercept form of the equation will be,

   y = 3x + 2  

d). Input out values for the graph of the given equation,

   x          0           1          2          3

   y          2           5         8          11

   By using this data we can graph the line.    

1 Jeremy is driving to a friend's house that is 88 miles away from his home. The scale on Jeremy's map is Inch is equivalent to 8 miles. How far is it on the map 2 from Jeremy's house to his friends house?

4 1/2 inches

3 1/2 inches

5 1/2 inches

9 1/2 inches


Answers

The awnser should be his house is 4.5 inches far

Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the population after 3 years

Answers

I believe it’s 1,590.

1500+6% (2 percent each year) gets 1,590

3 years: 1,591.81 or 1,592

4 years: 1,623.65 or 1,624

Jon has $4.68 more than his brother, Amos.
If Jon has $79.32, how much money does Amos
have?

Answers

Answer:

74.8

Step-by-step explanation:

79.32-4.68= 74.8

Answer: The answer is 74.64. Amos has $74.64. Hope I helped :)

Step-by-step explanation:

6+3×(13−2)−5^2

whoever answers first will get branliest and will get 50 points

Answers

Answer:

14

Step-by-step explanation:

A cone has a volume of 8tt cubic inches, the height is 6 inches. What is the radius of the cone?

Answers

Answer:

48

Step-by-step explanation:

multiply 8x6 which is 48 .....8,16,24,32,40,48

23 out of 5 of the students in my class have dark hair.
What percentage does not have dark hair?

Answers

Answer:

460%

Step-by-step explanation:

460 percent I think I’m not sure but hopefully ‍♀️

Suppose two angles of one triangle are congruent to two angles of another triangle. Using
the Triangle Sum Theorem, what could you conclude about the third angles in each
triangle? Justify your answer.

Answers

Answer:

عربيععربيعربيع   ربيعربيعربيعربي

Step-by-step explanation:

A line with a slope of -4 passes through the point (-6,2). Which of the following is the equation of the line?
1) y = -6x - 4
2) y = 2x - 4
3) y = 4x + 2
4) y = -4x - 22

Answers

4 because -4 is the slope and that would be the only option left to choose.

Autumn invested 2800 in a account paying an interest rate of 6.2% compounded monthly.Assuming no deposits or withdrawals are made how much money to the nearest ten dollars would be in the account after 8years

Answers

Answer:

4530.55

Step-by-step explanation:

2800 x 6.2% = 173.6

2800 + 173.6 = 3157.96

repeat this step 8 times because you need to find the money in the account after 8 years. Tell me if you need further explanation

Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order to be able to compare the ratios of the corresponding sides. Please help

Answers

Answer/Step-by-step explanation:

AC = 1.2

AB = 4

BC = 2.6

DF = 3

DE = 10

EF = 6.5

Thus:

[tex] \frac{DE}{AB} = \frac{10}{4} = \frac{5}{2} [/tex]

[tex] \frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2} [/tex]

[tex] \frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2} [/tex]

The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.

PLEASEEEEEEEEEEEE HELPPPPPPPPPP :(
will give brainliest

32,300 is 85% of what

Answers

Answer:

27455

Step-by-step explanation:

32300per of 85

is 27455

1. Find the measure of <2

Answers

Answer:

Step-by-step explanation:

If quadrilateral is rhombus, then m∠2 = 60°

Could someone help me that knows and won't put a bad answer. 30 points.

Answers

Answer:

line D

Step-by-step explanation:

The slope of the line D is y= 1/2x-1.5

Which statement is the best definition of an angle

Answers

Answer:

In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.

Step-by-step explanation:

hurray

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 72.6 Mbps. The complete list of 50 data speeds has a mean of x=18.55 Mbps and a standard deviation of s=19.69 Mbps. a. What is the difference between​ carrier's highest data speed and the mean of all 50 data​ speeds? b. How many standard deviations is that​ [the difference found in part​ (a)]? c. Convert the​ carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between −2 and 2 to be neither significantly low nor significantly​ high, is the​ carrier's highest data speed​ significant?

Answers

Answer:

a. 54.05 Mpbs.

b. 2.745... standard deviations.

c. The z-score is 2.745....

d. The carrier's highest data speed is significantly high.

Step-by-step explanation:

a. The difference between the highest measured data speed and the mean is 72.6 - 18.55 =  54.05 Mbps.

b. The amount of standard deviations of 54.05 Mbps is equal to this value divided by the standard deviations, so we yield [tex]\frac{54.05}{19.69} = 2.745...[/tex] standard deviations.

c. The z-score is equal to the difference between the mean and a data point in standard deviations, so the z-score is 2.745....

d. 2.745... is not between -2 and 2, so the carrier's highest data speed is not insignificant - so it's significantly high.

In a sports meet, Sonam’s team completes the run at 40 seconds during heat events. On championship day, his team completes the same run at 45 seconds. What is the percentage difference in the completion time from the best completion time?

A. 10.5%

B. 12.5 %

C. 15.5 %

D. 20.5 %​

Answers

Answer:

20.5

Step-by-step explanation:

the sum of a number x and 8, all divided by 3

Answers

Answer

x/3 and 2 1/3

Step-by-step explanation:

The sum of two numbers is twenty-one. One number is nineteen less than four times the other. Find the numbers.

Answers

9514 1404 393

Answer:

  8, 13

Step-by-step explanation:

The given relationships can be put into two equations. Let x and y represent the numbers.

  x + y = 21 . . . . . their sum is 21

  y = 4x -19 . . . . .one is 19 less than 4 times the other

__

Substituting for y in the first equation, we get ...

  x + (4x -19) = 21

  5x = 40 . . . . . . . . . add 19

  x = 8 . . . . . . . . . . . divide by 5

  y = 4(8) -19 = 13

The two numbers are 8 and 13.

Mila bought a computer with a price tag of $1,200.
After tax the total was $1,284. What was the rate of the
tax?

Answers

Answer: 7%

Step-by-step explanation:

what is the slope of this graph thank you

Answers

Answer:

-1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1/3

10 + 25
The expression represents a quadraticy polynomial with
terms. The constant
term is
the leading term is
and the leading coefficient is

Answers

Answer:

(x+5)^2

Step-by-step explanation:

(x+5)^2 Using the foil method 5+5=10 and 5x5=25

Please help I don’t get it

Answers

Answer:

y = 2x ± 3

························

Step 1.  The first blank is found at the point in which the line crosses the x- axis

Step 2. The second blankis found at the point in which the line crosses the y- axis

In this case those two points are 2 and 3

Hope this helped!

at a school there are 10 students taking only chemistry, 9 students taking only physics 5 students taking both, and 16 students not taking either. if a student is randomly selected from the other school, what is the probability that they are taking chemistry or physics?

Answers

Answer:

If there are 10 students taking only chemistry, 9 students taking only physics, and 5 students only taking both chemisty and 16 students are taking neither; I would add 10+9+5+16=40 (total students) and divide 10/40 (25% chemistry) 9/40 (22.5% physics) 5/40 (12.5% both) 16/40 (40% neither)

Step-by-step explanation:

1. Determine a single event with a single outcome.

2. Identify the total number of outcomes that can occur.

3. Divide the number of events by the number of possible outcomes.

Answer:

3/5

Step-by-step explanation:

John leaves to go home. He walks 6 blocks north and the 8 blocks west.how far is John from the school?

Answers

Answer:

The answer is 10 blocks.

Step-by-step explanation:

The answer is confusing but you would really ask your self what 5*2 would be because if you were to use blocks you would calculate the length of the route but not the direct distance of home to school.

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