The ages of pennies at a particular bank follow a nearly normal distribution with mean 10.44 years with standard deviation 9.2 years. Say you take random samples of 30 pennies, find the mean age in each sample, and plot the distribution of these means. Which of the following are the best estimates for the center and spread of this distribution? O mean = 10.44, standard error = 9.2 O mean = 10.44, standard error 9.2/30 = 0.31 O mean = 10.44/30 = 0.348, standard error (9.2/30)2 = 0.094 O mean = 10.44, standard error = 9.2/V30 = 1.68

Answers

Answer 1

The correct answer is: mean = 10.44/30 = 0.348, standard error (9.2/30)^2 = 0.094

When you take random samples of 30 pennies and find the mean age in each sample, the distribution of the sample means will have a mean that is equal to the mean of the population (10.44 years in this case) divided by the sample size (30 in this case). This is known as the sampling distribution of the mean.

The standard error is a measure of the spread or dispersion of the sampling distribution. It is calculated as the standard deviation of the population divided by the square root of the sample size. In this case, the standard error would be (9.2/30)^2 = 0.094.

The other options do not correctly describe the center and spread of the sampling distribution of the means. Option A gives the mean and standard deviation of the population, not the sampling distribution. Option B gives the correct standard error, but the mean is incorrect. Option D gives the correct mean, but the standard error is incorrect.

∴ The correct answer is: mean = 0.348, standard error = 0.094.

To learn more about standard error,

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Related Questions

Cara is making 25 sundaes with mint, chocolate, and vanilla ice cream. 1/5 of the sundaes are mint ice cream and 1/2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

Answers

Answer:

5

Step-by-step explanation:

HOPE THIS HELPS YOU!

brainliest?

1/5=20%

25. 100%
X. 20%
X=25•20/100
X=500/100
X=5.
5 are mint ice cream

25-5=20
1/2 of 20 is 10
10 are chocolate

25-(5+10)=25-15=10
10 are vanilla

It says on image below I think

Answers

Answer:C

Step-by-step explanation:

Answer: bro i cant see it can you make it lighter

Step-by-step explanation:

The library of a contemporary elementary school is circular. The floor
plan includes sectors reserved for science materials, literary materials,
reference materials, and so on. Find the area of the reference section
excluding its storage area.
The area of the reference section excluding its storage area is
(Round to the nearest hundredth as needed.)

Answers

Answer:

The area of the reference section excluding its storage area is approximately 157.78 square feet.

Step-by-step explanation:

The area of the reference section excluding its storage area ([tex]A[/tex]), in square feet, is the area of the greater circular sector minus the lesser circular sector, that is:

[tex]A = \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}} \times \pi \times (37.5\,ft)^{2} - \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}}\times \pi \times (12\,ft)^{2}[/tex]

[tex]A \approx 157.781\,ft^{2}[/tex]

The area of the reference section excluding its storage area is approximately 157.78 square feet.

3.
1- =
How do you subtract 1 - 1/2?

Answers

Answer:

You can just type it in the calculator. 1/2=0.5 so 1 - .05= 0.5 . Lmk if there is more to the question!

Step-by-step explanation:

What’s the answer to this

Answers

Answer:

D: 39.71 pi m cubed

Step-by-step explanation:

To find the volume of a cylinder, you must use the equation V=pi times the radius squared times the height.

For this problem, the radius is 1.9 and the height is 11, and this gives you 124.75 which divided by pi, is rounded to 39.71

The national mean annual salary for a school administrator is $90,000 a year (The Cincinnati Enquirer, April 7, 2012). A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state and to see if they differed from the national average. Click on the datafile logo to reference the data.
A. Formulate hypotheses that can be used to determine whether the population mean annual administrator salaries in Ohio differ from the national mean of $90,000.
B. The sample data for 25 Ohio administrators is contained below. What is the p-value for your hypothesis test in part A?
C. At alpha = 0.05, can your null hypothesis be rejected? What is your conclusion?
D. Repeat the preceding hypothesis test using the critical value approach?
Salary Data
77600
76000
90700
97200
90700
101800
78700
81300
84200
97600
77500
75700
89400
84300
78700
84600
87700
103400
83800
101300
94700
69200
95400
61500
68800

Answers

The answer is C okay

Which of the following expressions had a constant of 6 and a coefficient of 2/3?

Answers

Answer:

The answer is d, 2/3y-6

Step-by-step explanation:

A cube has a surface area of 54cm2. What is the volume of the cube?

Answers

Answer:

27 cm³

Step-by-step explanation:

A = 6 a²

V = a³

V=6A3/2

36=6·543/2

36≈27cm³

Hope this helps! Pls mark brainliest

Which is the graph of g(x)? ​

Answers

Answer: A because its always A

Step-by-step explanation:

find the missing side.

Answers

no sides are missing !

PLEASE ANSWER ASAP GIVING 15 POINTS AND PLEASE NO LINK FILE AND PLEASE ANSWER WHAT I'AM SUPPOSE TO DO WITH THIS ANSWER FOR PART B! I'M ALMOST OUT OF TIME

Answers

1.5 / 1
A 1has to be the denominator so for example, 100 yards / 1 minute of jogging

Justin is making a poster for Bike Safety Week. The diameter of circle A is 16 in.

If the area of circle B is the area of circle A, what is the area of circle B? (Use 3.14 for .)

Answers

Step-by-step explanation:

Given Area of Circle B = Area of Circle A

Given r = 1/2d = 1/2(16) = 8 in

and Area of Circle =

[tex]\pi {r}^{2} \\ = (3.14) ({8}^{2} ) \\ = (3.14)(64) \\ = 200.96 {in}^{2} [/tex]

A fair coin is tossed two times in succession. The set of equally likely outcomes is {HH, HT, TH, TT). Find the probability of getting exactly two heads.
The probability of getting two heads is
(Type an integer or a simplified fraction.)

Answers

Answer:

1/4

Step-by-step explanation:

Two Heads = HH,

From four options one of them is HH,

So likely the answer is 1/4,

Hope this helps!

2, 1, 1/2, 1/4 which number should come next​

Answers

1/8 should come next

1. Use the formula V = Bh to find the volume of a gift box that is 3.5 inches
high, 7 inches long, and 6 inches wide.

Answers

Answer:

147

Step-by-step explanation:

Length x Width = base

Base x Height = Volume

In a park, the ratio of adults to children is 11 to 9. If there are 320 people in the park, how many children are there?

Answers

Answer:

144

Step-by-step explanation:

320 ÷ 20 = 16

adults : children

11 : 9

9×16 = 144

I NEED THE ANSWER(ASAP)

The list below shows the allowance earned by eight of the students in Ms. Tomas's class. What is the mean allowance earned in Ms. Tomas's class?

$7, $12, $8.50, $ 10, $7, $8, $10.50, $11​

Answers

Answer:

9.25

Step-by-step explanation:

For the mean, you have to add all and divide it by the numbers.

7 + 12 + 8.50 + 10 + 7 + 8 + 10.50 + 11 = 74

74 divided by 8 = 9.25

Mark rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 5

Answers

Answer:

1/3

Step-by-step explanation:

p=1/6+1/6

=2/6

=1/3

evaluate the expression for the given value 3a^2 + 6b^3. a=3 b=2​

Answers

Answer:

5. is the answer

Step-by-step explanation:

Can the sides of a triangle have lengths 8, 17, and 18?

Answers

Answer:

Step-by-step explanation:

Tak

What are m21 and m_2?

Answers

Answer:

<1  = 35degrees

<2  = 30degrees

Step-by-step explanation:

Using the theorem that the sum of external angle is equal to sum of interior angle

Considering the smaller triangle

Exterior angle = 115 degrees

Sum of interior = <1 + 80

Equating both

<1 + 80 = 115

<1 = 115 - 80

<1  = 35degrees

For the big rectangle

Exterior angle = 115 degrees

Sum of interior = <2 + 85

Equating both

<2 + 85 = 115

<2 = 115 - 85

<2 = 30degrees

Can someone solve for x? And maybe explain it in a simple way?

Answers

Answer:

x=10

Step-by-step explanation:

Because of the two parallel lines, the ratio between the sides must be the same.  Since the bottom is 12 to 18 (a ration of two to three) we know that x and x+5 would have the same ratio.  Logically, x would have to equal 10 so that x+5 would equal 15 and a ratio of two to three would exist there too.  If you go to solve a problem and the answer isn’t obvious, jut set up a ratio.

12/18=x/(x+5)

then cross multiply and solve

12(x+5)=18x

12x+60=18x

60=18x-12x

60=6x

10=x

Answer:

x=10

Step-by-step explanation:

You can set it up as a proportion, since the lines are parallel, the sections are proportionate to each other.

[tex]\frac{x}{12} = \frac{x+5}{18} \\18x=12(x+5)\\18x=12x+60\\6x=60\\x=10[/tex]

HELP ME OUT PLEASE URGENT

Answers

I think its 10



Correct me if im wrong

But all u have to do is multiply 2.5 x 4=10

One positive number is 9 more than twice another. If their product is 95, find the numbers.

Answers

Answer:

The numbers are 19 and 5

Step-by-step explanation:

Given

Let the numbers be [tex]x\ and\ y.[/tex]

So:

[tex]x = 9 + 2y[/tex] --- First statement

[tex]x*y = 95[/tex] --- second statement

Required

Find x and y

Substitute [tex]x = 9 + 2y[/tex] in [tex]x*y = 95[/tex]

[tex](9 + 2y) * y = 95[/tex]

[tex]9y + 2y^2 = 95[/tex]

Rewrite as:

[tex]2y^2 + 9y - 95 = 0[/tex]

Expand

[tex]2y^2 -10y +19y- 95 = 0[/tex]

Factorize

[tex]2y(y -5) +19(y- 5) = 0[/tex]

[tex](2y +19)(y- 5) = 0[/tex]

Solve for y

[tex]2y + 19 =0[/tex] or [tex]y - 5 = 0[/tex]

[tex]2y = -19[/tex] or [tex]y = 5[/tex]

[tex]y = -\frac{19}{2}[/tex] or [tex]y=5[/tex]

Since the numbers are positive, we take only:

[tex]y=5[/tex]

Substitute [tex]y=5[/tex] in [tex]x = 9 + 2y[/tex]

[tex]x = 9 + 2 * 5[/tex]

[tex]x = 9 + 10[/tex]

[tex]x = 19[/tex]

The numbers are 19 and 5

Please help me (>^ <)

-Solving Equations with variables on both sides

Answers

Answer:

1) x = -1

2) x = 11

3) x = -3

4) x = -14

5) x = -7

6) x = 5

7) x = 12

8) x = -4

Step-by-step explanation:

use the photomath app

What is the slope of the line below?

Answers

up two over one so the slope is 2
The slope is 2 :) dndjes
Dmfirkdnd

A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? mmnle 10 percent would be 10% You can find the percent​

Answers

Answer:

The percentage in mark up is 503.56%.

Step-by-step explanation:

The percentage in markup is the change(retail - cost) divided by the initial cost, and multiplied by 100%.

In this question:

Cost: 1.49

Change: 8.99 - 1.49 = 7.5

Percentage change:

(7.5*100%)/1.49 = 503.56%.

The percentage in mark up is 503.56%.

What is the cos(65)?

Answers

= 0.4226182617, or 0.423 if rounded to 3 d.p

In the figure below, what is the measure of _x?
30
х
O A. 70°
OB. 300
o C. 60°
D. 90°

Answers

Answer:

50

Step-by-step explanation:

The sum of angle on a straight line is 180degres, hence;

X+3+x+20+x+7 = 180

3x+30=180

3x=180-30

3x = 150

X = 150/3

x = 50

Hence the value of x is 50

please help me with this asap

Answers

Answer:

Upper left is 9, upper right is 9, lower left is 21

Step-by-step explanation:

They tell us there are 9 birds that are yes fly and yes fish, so that’s the upper right.

They tell us there are 18 yes fish total. Subtract the 9 from the upper right, and that leaves 9 for the upper left.

They tell us there are 39 birds total.

39 - 18 (all fish eaters) - 4 (no fly, no fish) = 17 that can fly but don’t eat fish.

Make sense? lmk if you have questions

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