To estimate the mean height of female high school juniors, you take a

random sample of 30 female students and get these results (in inches):

72,51, 67, 68, 61, 69, 58, 56, 60, 56

66, 61, 60, 59, 59, 54, 58, 53, 68, 63

57, 62, 63, 64, 56, 62, 58, 67, 57, 70


If the o is 5.3, based on past research, and you want to construct a 97%

confidence interval using (estimate) + (margin of error)= (estimate)

what's your point estimate of ?

A. 30

B. 5.4

C. 65

D. 61.17

Answers

Answer 1

Answer:

61.16667 ; (58.958, 63.375)

Step-by-step explanation:

Given the data :

72,51, 67, 68, 61, 69, 58, 56, 60, 56, 66, 61, 60, 59, 59, 54, 58, 53, 68, 63, 57, 62, 63, 64, 56, 62, 58, 67, 57, 70

Standard deviation, σ = 5.3

Sample size, n = 30

The point estimate of the population mean:

Mean, m = Σx/n

Σx = 1835 ; n = 30

m = 1835 / 30

m = 61.16667

Confidence interval :

m ± Tn-1,α/2 * σ/sqrt(n)

61.16667 ± T30-1,0.03/2 * 5.3/sqrt(30)

61.16667 ± T29,0.015 * (5.3/sqrt(30))

61.16667 ± 2.282175 * (0.9676431)

Lower bound = 61.16667 - 2.20833 = 58.95834

Upper bound = 61.16667 + 2.20833 = 63.375

(58.958, 63.375)


Related Questions

the sides of a triangle can be represented by 2x, 4x-7, 16+x. If the perimeter is 65, whats the length of the shortest side of the triangle?

Answers

The shortest side is 16. Tip: add up all the sides to equal the perimeter.

Please answer the geometry question

Answers

Answer:

300 feet

Step-by-step explanation:

y = 3.915(1.106)x.
In terms of the water lily population change, the value 3.915 represents:

Answers

Answer: the initial number of water lily’s

Step-by-step explanation:

the value 1.106 represents the population increase rate

edge 2021

The value 3.915 represents the initial population of water lilies

Expoenential equations

The standard exponential equation is given as y = ab^x

where;

a is the initial populationb is the rate (growth or decline)

Given the exponential equation y = 3.915(1.106^x

On comparison, we can see that;

a  = 3. 915

This shows that the value 3.915 represents the initial population of water lilies

Learn more on exponential equation here: https://brainly.com/question/2456547

The two figures are similar. Identify the similar sides, and then write the similarity statement. Fill in each blank, then complete the sentence by explaining your reasoning.


• AB is similar to ____ because:



• AC is similar to ____ because:



• CB is similar to ____ because:




Step 2: Write the similarity statement.

Answers

Answer:

- AB is similar to YZ because all the sides from triangle ABC got multiplied by 3/4, and 40 times 3/4 = 30.

- AC is similar to YX because 50 times 3/4 = 37.5.

- CB is similar to XZ because 60 times 3/4 = 45.

hope this helps!

manda made $270 for 18 hours of work. At the same rate, how many hours would she have to work to make $165?​

Answers

ANSWER:
________

11 hours

EXPLANTION:
___________

First, find the unit rate for how much Amanda earn per hour

270/18 = 15

Next, divide how much money she needs to earn by how much she earn per house to find out how much hours she need to work to earn that much

165/15 = 11

That is your answer :)

FUN FACT:
_________

Johnny Appleseed’s fruits weren’t for eating

I hoped this helped! And have a •AMAZING• day :3

Michael has 12 yards of yellow fabric and 6 yards of purple fabric. how many inches of yellow and purple fabric does Kelly have.​

Answers

Answer:

648 inches

Step-by-step explanation:

12 + 6 = 18 yards

there are 36 inches in 1 yard

so there is 648 inches in 18 yards

Answer:

she has 18 yards of fabric all together

what is the remainder when 849,400 is divided by 216​

Answers

The anserws is 88 so your welcome

Answer:

The remainder is 88

Step-by-step explanation:

The Remainder of a Division

We have to find the remainder when we divide 849,400 by 216.

It could be found by doing the long division, but we'll do it with a calculator.

Entering the division in the calculator we get:

849,400/216=3,932.4074...

We take the whole part of the quotient (3,932) and multiply it by the divisor:

3,932*216=849,312

The remainder is obtained by subtracting 849,400-849,312=88

The remainder is 88

Quadrilateral GHJK is a rectangle.

Find the measure of angle 1, given that the measure of angle 4 is 54°. *

(1 Point)

54°

46°

126°

134°

Answers

Answer:

126 degrees

Step-by-step explanation:

The sum of adjacent side of the rectangle is 180 degrees

Hence <1 + <4 = 180 degrees

Given

<4 = 54 degrees

<1 = 180 - <4

<1 = 180 - 54

<1 = 126degrees

Hence the value of <1 is 126 degrees

flocabulary multplying fractions

Answers

Answer:

don't know what you need

Step-by-step explanation:

what is 7.42 divded by 1.75

Answers

Answer: It equals 4.24

Answer:

4.24

Step-by-step explanation:

the calculator says otherwise (but yea its 4.24

Which system of linear equations appears to have a solution of (3,0)?

Answers

Answer:

C

Step-by-step explanation:

NEED AN ANSWER QUICKK Ayo and Ria are both travelling by train.
Ayo's train travels 90 km in 50 minutes.
Ria's train travels 476 km.
It leaves at 14:05 and arrives at 17:35.
Work out the difference, in km/h, between the average speed of their trains.

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Answer:

28

Step-by-step explanation:

I guessed it right on hegarty maths and this was the answer

A car's odometer read 78,354 miles after 2 hours. It read 78,468 miles after 4 hours. What was the car's average speed in miles per hour?

Answers

Answer:

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Step-by-step explanation:

I need help with this geometry question

Answers

KL=27
JK=16
MK=46
NL=15

Can someone Help me please ?

Answers

9514 1404 393

Answer:

  1)  c, f

  2) a, e

  3) b, d

Step-by-step explanation:

If you think about the units associated with a coordinate (feet, for example), then you may recognize the following

a) each difference is of "feet", so each difference will have units of "feet". The ratio of "feet" to "feet" cancels the units, leaving a pure number. In this case, it is called "steepness" in selection e. Steepness is given by the slope formula (2).

__

b) The difference in parentheses has units of "feet" (as in (a)), so the square will be "square feet". The sum of two of those will still be "square feet" and the square root of that will be "feet". The units of the formula are those of distance, or length, matching selection d. Distance is given by the distance formula (3).

__

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please help i will give barinliest

Answers

You need to show us using a ruler what the length of the backboard is. Otherwise there’s nothing for use to answer without measurements. Just place the ruler along the backboard.

whats the GCF for 1248

Answers

Answer:

None or 12 depending on what the question is. See explanation below.

Step-by-step explanation:

If the number is 1248:

A single number cannot have a GCF. The GCF has be for at least two numbers.

If the numbers are 12 and 48, then the GCF can be calculated.

Since 12 is a factor of 48, then the GCF of 12 and 48 is 12.

In general, to calculate the GCF do this:

To calculate it, find the prime factors of 12 and 48.

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48 = 2^4 * 3

GCF is the product of common factors with lower exponent.

GCF = 2^2 * 3 = 12

Let 3x + 9 = 5x – 3. What is the value of 4x ?

Answers

Answer: 24

Step-by-step explanation:

3x + 9 = 5x - 3

9 = 2x - 3

12 = 2x

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6 * 4  =24

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I really need help please

Answers

Answer:

50°

Step-by-step explanation:

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What is the quotient?

-4/5➗2

Answers

The answer is -0.4 because I just did it in a calculator.

6n + 13 = 43

a
6
b
-5
c
5
d
-5

Answers

Answer:

C) n=5

Step-by-step explanation:

6n+13=43

6n+13-13=43-13

6n=30

6n/6=30/6

n=5

Answer:

Your answer is c

Step-by-step explanation:

Here you go mate

Step 1

6n+13=43  Equation/Question

Step 2

6n+13=43  Simplify

6n+13=43

Step 3

6n+13=43  Subtract 13 from sides

6n=30

Step 4

6n=30  Divide sides by 6

5

Answer

n=5

Hope this helps

state if each pair of ratios forms a proportion 4/3 and 16/12 help me

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Answer:

if you multiply 4/3 by 4/4 you get 4/16.

Step-by-step explanation:

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PLEASE HELP FOR 20 POINTS, Yesterday, Chang planted 6 trees that were each 8 feet tall in his yard. Chang projects the trees to grow at the following annual rates over the next 5 years. Assume that x represents the amount of years from when Chang planted the trees. Which of the following equations represent the height of each of the trees in 5 years? Select all that apply.

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Just cause

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Answers

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Step-by-step explanation:

3/25 = 0.12

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Answer:

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Step-by-step explanation:

3/25=0.12

0.12 turnes into 12%

HELPPPPPPPPPPPPPPPPPPPP QUICK PLEAAAAAAAAAAAASE

Which of these geometric figures can intersect to form a cross section? Check all that apply.
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Answers

A:line and a prism.
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brainlist if you help me fill out table

Answers

Answer:

2.0 and 4.8

Step-by-step explanation:

each 5 is adding 0.4 and each 10 is adding 0.8. if you take the 20 and the number 1.6, multiply those by 3, and you will get 4.8 for the slot 60. for the slot 25, just add 0.4 to 1.6. hope this helped :)

Translate this phrase into an algebraic expression. 78 less than Amaris test score. Use C to represent Amari's test score PLEASE HURRY!!

Answers

Answer:

it's 78<C. < means less than

Convert the following recipe for 12 portions so that it yields 60 portions.
Stir Fried Chicken
3 lb chicken 6 oz. soy sauce 1 lb. green peppers
1/2 lb. scallions 2 oz ginger
2 cups Water

Answers

Answer:

15lb chicken 30 oz. soy sauce 5lb. green peppers

2 1/2 lb. scallions 10 oz. ginger

10 cups Water

To make 60 proportions of Stir Fried Chicken requires 15lbs of chicken,

30 oz of soy sauce, 3 lb. green peppers, 5/2 lb scallions, 10 oz ginger, and 10 cups Water.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given  12 portions of  Stir-Fried Chicken requires 3 lb chicken 6 oz.

soy sauce 1 lb. green peppers

1/2 lb scallions

2 oz ginger

2 cups Water.

∴ To make 60 proportion or (12×5) proportion we have to multiply each ingredient by a factor of 5.

So,  60 proportions of  Stir-Fried Chicken requires (3×5) = 15lbs of chicken,

(6×5) = 30 oz of soy sauce,  (1×3) = 3 lb. green peppers, (1/2×5) = 5/2 lb scallions, (2×5) = 10 oz ginger and (2×5) = 10 cups Water.

learn more about ratios and proportions here :

https://brainly.com/question/26974513

#SPJ5

Emma Drew 13 hearts and 20 circles what is the ratio of hearts to all shape​

Answers

9514 1404 393

Answer:

 13 : 33

Step-by-step explanation:

  hearts : all shapes = hearts : (hearts + circles) = 13 : (13 +20) = 13 : 33

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