A stationery store wants to estimate the mean retail value of greeting cards that it has in its inventory. A random sample of 15 greeting cards indicates an average value of $3.00 and a s of $0.40. The critical value for a 99% confidence interval is

Answers

Answer 1

Answer:

The critical value for a 99% confidence interval is T = 2.9768

Step-by-step explanation:

We have the standard deviation of 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 = 15 - 1 = 14

Critical value

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.9768

The critical value for a 99% confidence interval is T = 2.9768


Related Questions

A box is being packed with cubes that measure 1 cubic foot. What is the volume of the box in cubic feet

Answers

Answer:

81 cubic foot

Step-by-step explanation:

It is given that the box is packed with cubes whose side is 1 foot. So the volume of one cube is 1 cubic foot.

Now from the figure, we can see that :

Number of cubes fitting the box across its length = 9 cubes

Number of cubes fitting the box across its width = 3 cubes

Number of cubes fitting the box across its height = 3 cubes

And each of these cubes measures 1 x 1 x 1 cubic foot

So the volume of the box can be found out by:

Volume = length x width x height

             = 9 x 3 x 3

             = 81 cubic foot

Therefore volume of the box is 81 cubic foot.

A company that manufactures tires produces a tire that has average life span of 65,000 kilometers with a standard deviation of 5,200 kilometers. The distribution of the life spans of the tire is normal. What percent of the tires last at least 60,000 kilometers ?

Answers

Answer:

=> P(X <= 62500) = P((X-mean)/sd < (62500-65000)/3000)

= P(Z < -0.8333)

= 1 - P(Z < 0.8333)

= 1 - 0.7967

= 0.2033

=> P(X > 68500) = P(Z > (68500-65000)/3000)

= P(Z > 1.1667)

= 0.1210

=> P(60500 < X < 69500) = P((60500-65000)/3000 < Z < (69500-65000)/3000 )

= P(-1.5 < Z < 1.5)

= 0.8664

=> for P(X < x) = 0.03, for Z = -1.88

X = mean + Z*Sd = 65000 - (1.88*3000) = 59360

Step-by-step explanation:

I'm not sure if that correct , I really try my best to help

The required percent of tires last at least 60,000 kilometers is about 91%.

What is the standard deviation?

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation,

To solve this problem, we need to use the standard normal distribution. This is a special type of normal distribution where the mean is 0 and the standard deviation is 1. We can use this to standardize the tire life spans by subtracting the mean (65,000 km) and dividing by the standard deviation (5,200 km).

This gives us a standard normal distribution with a mean of 0 and a standard deviation of 1, and we can use a table or calculator to find the probability of a tire lasting at least 60,000 kilometers.

To do this, we need to find the probability that a tire lasts less than 60,000 kilometers and subtract this from 1. This probability is:

P(tire life < 60,000 km) = P(z < (60,000 - 65,000) / 5,200)

Where z is the standardized tire life span, and the probability is calculated using the standard normal distribution.

Calculating this, we find that P(tire life < 60,000 km) = P(z < -1.346) = 0.0913

Therefore, the probability that a tire lasts at least 60,000 kilometers is 1 - 0.0913 = 0.9087 or about 91%.

Learn more about the standard deviation here:

brainly.com/question/14747159

#SPJ2

What is the equation of the circle shown in the graph?
6 9 12 36

Answers

You need to add a picture in order for others to understand what you are referring to.

A new car is purchased for 22300 dollars. The value of the car depreciates at 7.5% per
year. To the nearest year, how long will it be until the value of the car is 7700 dollars?

Answers

Answer:I think 3 years

Step-by-step explanation:

sorry if im wrong

HELP ASAP!!

The parent function f(x)= square root of x is translated 2 units right, compressed horizontally by a factor of 21 , and reflected across the x-axis.

Answers

Answer:

Ok? what's the question

Step-by-step explanation:

Answer:

i did my best to try and find something, do any of these help? lmk

Step-by-step explanation:

Ilia brought pizza home for dinner. Ilia ate 1/4 of the pizza. His friend ate 1/3 of the pizza. How much was left for Ilia.

Answers

Answer:

5/12 of the pizza was leftgot Lila

Step-by-step explanation:

Well Lila ate 1/4 already and his freind ate 1/3

1/4+1/3

3/12+4/12

7/12

The whole pizza is gonna be 1 since a whole pizza

1-7/12

that would be 5/12

Answer:

5/12

Step-by-step explanation:

1/4 + 1/3 + x = 1

7/12 + x = 1

7/12 - 7/12 + x = 1 - 7/12

x = 5/12

complete the inequality statement
4/13 __6/13

Answers

< answer because 4/13 is less than

After painting 3/8 of a fence he finds that he has painted 15 feet

Answers

Answer: I'm assuming you want to know how much surface area his fence is, so 40

Step-by-step explanation: First we can divide 15 by 3 to get 5, and then multiply 5 by 8. This gives us 40, which is our answer.

Hope this helps :)

Answer:

ok whats the question tho is it the total length of the fence if it is its 40 pretty sure

Step-by-step explanation:

3/8 of the fence lets say x, equals 15 feet

divide 15 by 3/8 to find x which is 40

Solve x + 19 = 47.
Select one:

x = 893

x = 66

x = 28

x = 18

Answers

the answer is 28 hoped that helped

Answer:

x=28 (B)

Step-by-step explanation:

x = 28 (B)

You need to subtract 19 from both sides to get 28.

Subtract and simplify your answer.
7/18-2/9

Answers

Answer:

Step-by-step explanation:

7/18-2/9=7/18-4/18=3/18=1/6

Answer:

1/6.

Step-by-step explanation:

7/18−2/9=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(7/18, 2/9) = 18

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(7/18×11)−(2/9×22)=?

Complete the multiplication and the equation becomes

7/18−4/18=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

7−4/18=3/18

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 3 and 18 using

GCF(3,18) = 3

3÷3/18÷3=1/6

Therefore:

7/18−2/9=1/6

HAHA. YOU GOT IT WRONG ONYEBUCHINNAJI

WHY DID YOU EVEN PUT THIS NAME??​

Answers

Answer:

free points ty



The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported

goods from the United States, where x is the number of years since 1990.


Which statements are correct?

A) g(x) appears to be a linear function

B) f(x) appears to be an exponential function


C)Exports increase more quickly around the year 2041


D) Exports eventually exceed imports from the united States


E) A quantity increasing exponentially eventually exceeds a quantity

increasing linearly

Answers

Answer:

C, D, E

Step-by-step explanation:

I did the USATESTPREP

Sara and Atil ate the same number of cookies for lunch. However, Sara ate half of all

the cookies that her mom gave her, and Atil ate one-third of all the cookies that his

mom gave him. If til's mom gave him 2 more cookies than Sara's mom gave to Sara,

how many cookies did each of the kids eat?

Answers

Answer:

Sarah ate 2, atil ate 2

Step-by-step explanation:

The total number of cookie Sara got = y

Atill got 2 more than Sara so his total cookies is = 2+y

Sarah ate half if hers = y/2

Atil ate 1/3 of his = 2+y/3

We have

Y/2 = 2+y/3

Then we cross multiply

3y = 2(2+y)

3y = 4 + 2y

3y - 2y = 4

Y = 4

Since y = 4,

Sara ate 4/2 cookies = 2

Then atil ate 2+4/3 = 6/3 = 2 cookies

Help me pls I need a good grade

Answers

Answer: 226

Step-by-step explanation:

arc ZW is 180 (it is a semi Circle) and arc WX is 46 (the angle opposite the arc)

so arc ZWX is 180+46=226

An expression is shown.

​ 6 n

​What is the value of the expression when n=7?

Answers

Answer:

42

Explanation:

replace n by 7 since they are equal and therefore the same thing

so 6*7=42

what is the value of x in the equation -6 + x = -5

Answers

ANSWER: 1
-6 + 1 = -5

Please help answer !:)
Will give brainlst!!
Have a nice day

Answers

Answer:

6) .000000947

7) 244000000

8) .076

The average daily maximum temperature for Shane’s hometown can be modeled by the function f(x)=12.2cos(πx6)+54.9, where f(x) is the temperature in °F and x is the month.

x = 0 corresponds to January.

What is the average daily maximum temperature in March?

Round to the nearest tenth of a degree if needed.

Answers

Answer:

The average daily maximum temperature in March is of 61 degrees.

Step-by-step explanation:

The average daily maximum temperature in his hometown in x months after January is given by:

[tex]f(x) = 12.2\cos{(\frac{\pi x}{6})} + 54.9[/tex]

What is the average daily maximum temperature in March?

March is 3 - 1 = 2 months after January, so this is f(2).

[tex]f(2) = 12.2\cos{(\frac{\pi*2}{6})} + 54.9 = 61[/tex]

The average daily maximum temperature in March is of 61 degrees.

pls help i dont get it much

Answers

Answer:

Fraction  Decimal  Percent

111/250 = 0.444 = 44.4%

5/100 = 0.05 = 5%

2/3 = 0.66 = 666%

Enter your answer in the box.
Find the value of the expression 4d - C + 3 when c = 3 and
d = 6.

Answers

Answer:

4d - c + 3

4(6) - 3 + 3

24 - 3 + 3

24

Step-by-step explanation:

24

Hope this helps :T

PLEASE HELP I GOT IT WRONG EARLIER AND THE WRONG ANSWER WAS H PLS HELP!!​

Answers

Answer:

H. 39.6

Step-by-step explanation:

i promise this is the right answer!

there is a mean, mode, range etc. calculator that can help you!

What is the slope of the line that passes through the points (3, 2) and (−1,2)? Write your answer in the simplest form

Answers

Answer:

slope = 0  

Step-by-step explanation:

To find the slope of a line that passes between a pair of points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the points (3,2) and (-1,2) into the formula and simplify:

[tex]m = \frac{(2)-(2)}{(-1)-(3)} \\m = \frac{2-2}{1-3} \\m = \frac{0}{-2} \\m=0[/tex]

So, the slope is 0.

In August an online store sold 213 graphing calculators during their back to school sale. Since then, sales have increased at a rate of 5% each month. Which function can be used to determine the monthly calculator sales sine August?

Answers

Answer:

[tex]y = 213 + 0.05x[/tex]

Step-by-step explanation:

Given

[tex]Initial = 213[/tex]

[tex]Rate = 5\%[/tex]

The equation to o this is:

[tex]y = intial +rate * weeks[/tex]

[tex]y = 213 + 0.05x[/tex]

Factor the expression

10x + 25

A. 2(5x + 10)
B. 5(2x + 5)
C. 10(x + 5)
D. 5(2x + 25)

Answers

Answer:

B. 5(2x+5)

Step-by-step explanation:

Factor 5 out of 10x+25. and you get 5(2x+5)

Answer:

B. 5(2x + 5

Step-by-step explanation:

If you have any questions feel free to ask in the comments

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

3 and 3 1/5 because the median is always in the middle

How to show work on this one topic is angles formed by 2 chords and secants

Answers

Answer:

Step-by-step explanation:

pls help will give brainliest and only put 1 variable in it ty​

Answers

Answer:

(2/3)r=30

r=45cm

Step-by-step explanation:

When trying to find a fraction of something, multiply to get your answer:

(2/3) of r = (2/3)r

The blue ribbon can be represented by both 30cm and (2/3)r cm:

(2/3)r=30

2r=90

r=45cm

Help please !! need it asap

Answers

Answer:

AB = 6

m∠F = 70°

Step-by-step explanation:

1.) This is isosceles, from the angles you can tell

2.) Angles F and D are equal, this is also a form of isosceles

180-40 = 140

140/2 = 70

4/12×1/8 in simplest form​

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]

PLEASE HELP ME W THIS

Answers

9514 1404 393

Answer:

  (b)  C = dπ

Step-by-step explanation:

The irrational value π is the ratio between the circumference of a circle and its diameter. That is ...

  π = C/d

Rearranging to get a formula for the circumference, we have ...

  C = dπ

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