A student records the repair cost for 22 randomly selected dryers. A sample mean of $98.78 and standard deviation of $15.49 are subsequently computed. Determine the 95% confidence interval for the mean repair cost for the dryers. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer 1

Answer:

The critical value that should be used is T = 2.0796.

The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 22 - 1 = 21

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0796, which is the critical value that should be used.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0796\frac{15.49}{\sqrt{22}} = 6.868[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.78 - 6.868 = $91.912

The upper end of the interval is the sample mean added to M. So it is 98.78 + 6.868 = $105.648

The 95% confidence interval for the mean repair cost for the dryers is between $91.912 and $105.648.


Related Questions

What is the greatest common factor of the numerator and denominator in the expression: 6x+2x^2/9x^2+3x^3?

A. 3+x
B. 3x+x^2
C. x
D. 2/3x

Answers

Answer:

A)  3+x

Step-by-step explanation:

6x + 2x² / 9x² + 3x³

2x(3 + x) / 3x²(3 + x)

Speedy crawled 5/9 yards. Slimy crawled 4 times as far as speedy. How far did slimy crawl?​

Answers

Answer:

2 2/9 yards or 20/9 yards

Step-by-step explanation:

Slimy went 4 times as much as Speedy did so that means 5/9 x 4 yards which is the same thing as 5 x 4/9 so 5 x 4/9 equals 20/9 or 2 2/9 so Slimy crawled 2 2/9 yards.

Please Classify ∠1 and ∠2 using all names that apply

Answers

Answer:

Supplimentery angles

If the sum of the measures of two angles is 180 degrees, then the angles are supplementary angles.

Answer:

∠1 & ∠2 are supplementary angles & they form a linear pair. (option D)

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Answers

Answer:

Step-by-step explanation:

diameter= 22 mm

Radius is half of diameter

r = 22/2 = 11mm

Area of circle = πr²

                      = 3.14 * 11*11

                      = 379.94 mm²

Answer:-

Given:-

Diameter (d) of circle = 22 mm

To Find:-

Area of circle.

Solution:-

Diameter (d) of circle = 22 mm (Given)

So, radius (r) of circle = [tex] \frac{d}{2} [/tex] = [tex] \frac{22}{2} [/tex] = 11 mm.

Now, we know,

Formula of Area of Circle is πr².

So, Area of Circle = [tex] \frac{22}{7} [/tex] × (11)²

Area of Circle = [tex] \frac{22}{7} [/tex] × 11 × 11

Area of Circle = [tex] \frac{22 \: × \: 11 \: × \: 11}{7} [/tex]

Area of Circle = [tex] \frac{2662}{7} [/tex]

Area of Circle = 380.29

Area of Circle is 380.29 sq mm. [Answer]

7) Rob and Amy are selling cheesecakes for a school fundraiser. Customers can buy New York
style cheesecakes and chocolate marble cheesecakes. Rob sold 11 New York style cheesecakes
and 7 chocolate marble cheesecakes for a total of $266. Amy sold 4 New York style cheesecakes
and 14 chocolate marble cheesecakes for a total of $280. What is the cost each of one New York
style cheesecake and one chocolate marble cheesecake?

Answers

9514 1404 393

Answer:

New York style: $14Chocolate Marble: $16

Step-by-step explanation:

We can let n and c represent the costs of the New York style and the chocolate marble cheesecakes, respectively. Then the two sales are ...

  11n +7c = 266 . . . . . . . Rob's sale

  4n +14c = 280 . . . . . . Amy's sale

The ratio of coefficients of c is a "nice" number (2), so we can eliminate the c variable easily to solve this. Dividing the second equation by 2 and subtracting it from the first gives ...

  (11n +7c) -(1/2)(4n +14c) = (266) -(1/2)(280)

  9n = 126 . . . . . . simplify

  n = 14 . . . . . . . . divide by 9

Filling this into the first equation, we have ...

  11(14) +7c = 266

  7c = 112 . . . . . . . . subtract 154

  c = 16 . . . . . . . divide by 7

One New York style cheesecake costs $14; one chocolate marble cheesecake costs $16.

Surface area is always measured in square units. True False

Answers

Answer:

The answer is True.

Answer:

True

Step-by-step explanation:

Area is always measured in square units, also including surface area

Estimate the given rotation within 10 degrees:

Answers

Answer:

70∘

Step-by-step explanation:

LCM OF (2^3×3×5) and (3×5) is



(a)8
(b)120
(c)40
(d)180​

Answers

Answer:

120

Step-by-step explanation:

2³* 3 * 5

3*5

LCM = 2³ * 3 * 5 = 8 * 3 * 5 = 120

The blue whale, the fastest marine mammal, can travel 60 miles in 2 hours. The fastest fish, the sailfish, can travel 136 miles in 2 hours. How much faster is the sailfish than the blue whale?
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B. 58 mph faster
C. 38 mph faster
D. 26 mph faster

Answers

Answer:

c 38

Step-by-step explanation:

i got it right on the quiz

Answer:

C

Step-by-step explanation:

What is the value of x in the figure shown below?

Answers

The value of X is 35 because the angle 35 measures the same as the angle X, hence their values are the same

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I will mark them as brainlists all the best

Answers

28 x 18 x 10
= 5040
L x W x H

The surface area of a trianglular pyramid is 305 square inches. the area of the base is 35 square inches. Each face has a base of 9 inches. What is the slant height?

Answers

S=20 inches
Hope this helps

i need help with this! pls pls

Answers

Answer:

x = 21 degrees

Angle KMH = 96 degrees

Step-by-step explanation:

The first question is what is x. To find that out the opposite angle of 4x is the same as x. That is 84 degrees. So take 84 and divide it by 4 you get 21.

x = 21 degrees.

The second question is what is the angel of KMH. A straight line is 180 degrees. If you take the 84 degrees and subtract it from 180 you will get what that angle equals. It equals 96 degrees.

Please hurry!!!!!!!!!!!!!!!

Answers

Answer:

a -------> 4

b -------> -2

c -------> -1

d -------> -4

how do you solve this problem
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Answers

This is PEMDAS as well as order of operations and or  parentheses, exponents, multiplication, division, addition, and subtraction. Multiplication and division go together, so you do whichever one comes first. Same goes to addition and subtraction. A way to remember the order is Please Excuse My Dear Aunt Sally.

No answer is -2 it is probably

Two dice are
thrown, what
is the probability that the sum
of the numbers is divisible by 5?​

Answers

Answer:

Step-by-step explanation:

Remark

Two results are divisible by 5.

The two are 5 and 10.

There are 36 possible outcomes when throwing 2 dice

Five

You can throw a 5 four different ways

4 - 1

1 - 4

2 - 3

3 - 2

Probability: 4/36

Ten

Ten can be thrown 3 different ways

5 - 5

6 - 4

4- 6

Probability : 3/36

Answer

The probability of a 5 or a 10 = 4/36 + 3/36 = 7/36

If you mean  something else, leave a note in the comment and I'll get back to this. Please leave something specific. It's wrong doesn't help me.

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A. 1

B. 3

C.2

D.6​

Answers

The answer is D, 6 :)
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If the outside diameter of a pipe is 1.25 ft and the inside diameter is 0.975 ft how thick is the pipe

Answers

Answer:

0.275

Step-by-step explanation:

1.25-0.975=0.275

See below
Answer: .1375

See explanation:


1.25-0.975=.275

Now since this gives you the difference between the outside diameter and the inside diameter it actual gives you 2 times the wall thickness. So we need to divide that by 2.

.275/2=.1375

So the wall thickness of the pipe is .1375

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D. The total surface area is multiplied by 4. The volume is multiplied by 16.

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Answers

Answer:

Step-by-step explanation:

K

Probability of dependent events
Espanol
A department store is holding a drawing to give away free shopping sprees. There are 9 customers who have entered the drawing: 4 live in the town of Gaston,
2 live in Pike, and 3 Ilve In Wells. Two winners will be selected at random. What is the probability that the first winner lives in Wells and the second lives in
Gaston? Write your answer as a fraction in simplest form.
0
$
2
Explanation
Check
2021 McGraw-Hill Education. All Rights Reserved Terms of Use | Privacy | Accessibility

Answers

Answer:

1/9

Step-by-step explanation:

write the expression for 5 minus q

Answers

Answer:

5 - q

Step-by-step explanation:

the term minus indicates a sign of subtraction, which looks like this

-

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Answers

Sorry I need points

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Answers

The answer is x=4

Hope this helps

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Step-by-step explanation:

5x-9=11

5x=11+9

5x=20

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Which features are present in this polar graph?

Answers

The features that is present in this polar graph is that A. Symmetry about the polar axis θ = 0.

What is true of the polar graph?

The polar graph can be said to have a symmetry about the polar axis which means that theta or θ is equal to 0.

This is because the graph is symmetric about the x-axis. This means that all the lines of symmetry can be seen intersecting the graph at x = 0. This proves that there is indeed symmetry in the polar graph.

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Line ABC is a straight line
Which descnbes the relationship between 21 and 22?
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21 and 22 are acute angles

Answers

Answer:

angle 1 and angle 2 are supplementary angle

Answer: the answer is b

Step-by-step explanation:trust

Sondra has 1 gallon of milk. Her pudding recipe calls for 1 quart of milk, but she triples the recipe. How many cups of milk does she have left over? A 1 cup B 3 cups С 4 cups D 8 cups​

Answers

Answer:

c

Step-by-step explanation:

this is because one quart is 4 cups and 4 quarts are one gallon. this means that if you use three quarts, you have one left over. one quart is the same as 4 cups

that "photo" is a danger to your device

One quart is the same as the 4 cups of milk she has leftover, the option C is the correct answer.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Sondra has 1 gallon of milk. Her pudding recipe calls for 1 quart of milk, but she triples the recipe.

1 gallon of milk = 1 quart of milk,

one quart is 4 cups and 4 quarts is one gallon which means that if you use three quarts, you have one leftover.

one quart is the same as 4 cups.

Learn more about the unitary method;

https://brainly.com/question/23423168

6. Write the formula of circumference
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is given.​

Answers

Step-by-step explanation:

nl the way home now so I'm gonna get

Circumference = pi • diameter
C= (pi symbol)d

(I don’t have a pi symbol on here)

Plz help if correct ill give brailiest

Answers

Answer:

That first one is the answer

Answer:

the last one

Source : Trust me Bro

(its actually the last one)

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(please help )

Answers

30

Because the value of 7 is 700 and the value of 8 is 8

PLEASE HELP !! ILL GIVE BRAINLIEST !!

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Answer:

HIK and GFD,

Step-by-step explanation:

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