The Acme Battery Company has developed a new cell phone battery. On average, the battery lasts 60 minutes on a single charge. The standard deviation is 4 minutes. Suppose the manufacturing department runs a quality control test. They randomly select 7 batteries. The standard deviation of the selected batteries is 6 minutes. a. What would be the chi-square statistic represented by this test? b. What are the degrees of freedom for the chi-square statistic? c. Suppose they repeated the test with a new random sample of 7 batteries. What is the probability that the standard deviation in the new test would be greater than 6 minutes? (Use the applet)

Answers

Answer 1

Answer:

X² = 13.5

Degree of freedom = 6

0.04

Step-by-step explanation:

Give the following :

Number of samples (n) = 7

Population standard deviation (σ) =.4 minutes

Sample standard deviation (s) = 6

Mean battery life = 60 minutes

A) Chisquare (X²) :

X² = ((n - 1) * s²) / σ²

X² = ((7 - 1) * 6²) / 4²

X² = (6 * 6²) / 4²

X² = (6 * 36) / 16

X² = 216 / 16

X² = 13.5

B.) The degree of freedom:

degree of freedom = n - 1

Degree of freedom = 7 - 1 = 6

C.) using a chisquare distribution calculator :

With degree of freedom (df) = 6

X² = 13.5

Hence,

P(X² > 13.5) = 0.04 ( from calculator)


Related Questions

I need help with Number 7 please!!!

Answers

Answer:

8.06 ft or [tex]\sqrt{65}[/tex]  ft

Step-by-step explanation:

Since Rebecca bought a square table and squares have equal sides, you can take the square root of the area of the table, which gives you [tex]\sqrt{65}[/tex]  ft per side. This can be approximated to 8.06 ft.

8.06 ft
Mark me as the brainliest please I spent 25 hours working on this. Thank you very much little boo. You are so segsy. Go get some Bob pics from mother’s boyfriend. 8.06 under your di37 hole

Evaluate 12x−3y when x=−14 and y=3.

Answers

Answer:

-177

Step-by-step explanation:

12(-14) -3(3)

-168-9

-177

Answer:

-177

Step-by-step explanation:

Plug in -14 for x and 3 for y:

12(-14) - 3(3)

Note that when you multiply a positive and a negative number, your answer will be negative.

Multiply:

12 * -14 = -168

-3 * 3 = -9

Combine the terms:

-168 + (-9) = -168 - 9 = -177

-177 is your answer.

~

9. What is the likelihood that a randomly selected couple's relationship survived between 90 and 150 days

Answers

Answer:

0.5818

Step-by-step explanation:

Suppose the average teenage romantic relationship is normally distributed with a mean number of 100 days with a standard deviation of 30 days.

Answer:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard\ deviation, x=raw\ score[/tex]

Given that:

[tex]\mu=100\ days,\sigma=30\ days\\\\For\ x=90\\\\z=\frac{90-100}{30} =-0.33\\\\For\ x=150\\\\z=\frac{150-100}{30} =1.67[/tex]

Therefore, from the normal distribution table, P(90 < x < 150) = P(-0.33 < z < 1.67) = P(z < 1.67) - P(z < -0.33) = 0.9525 - 0.3707 = 0.5818

Equivalent Expressions

Warm-Up

Active

Evaluating an Expression

Complete the statements.

Evaluate (15 - 4x) + 5 when x = 3.

Substitute the given value for the

Evaluate within

parentheses.

to simplify.

Use the

inside the

Evaluate exponents.

First, complete the

parentheses.

Next, complete the

parentheses.

Last, complete the addition.

inside the

Multiply and divide

from left to right.

The value is

Add and subtract

from left to right.

Answers

Answer:

Complete the statements.

Substitute the given value for the

✔ variable

.

Use the

✔ order of operations

to simplify.

First, complete the  

✔ multiplication

inside the parentheses.

Next, complete the

✔ subtraction

inside the parentheses.

Last, complete the addition.

The value is

✔ 8

.

Step-by-step explanation:

Plz give me brainlest

Answer:

Variable, order of operations, multiplication, subtraction, 8.

Step-by-step explanation:

Got it right Edge2021



LUCILLE'S PENCIL POUCH WOULD HOLD 3/8
OF THE 48 PENCILS THAT SHE PURCHASED AT
THE BEGINNING OF THE NEW SCHOOL YEAR. How many pencils will fit in her pouch
HOW MANY PENCILS WILL FIT IN HER POUCH?

Answers

Answer:

The pouch would be able to hold 12.8 pencils :)

Step-by-step explanation:

because 3/8 is 37.5 and if you do that divided by 48 and add a decimal infront of the eight you will get your answer

what is the sale tax on a $14,500 truck if the tax rate is 9%​

Answers

Answer:

$15, 805.00

Step-by-step explanation:

Tax is based on the state you live in.

6. Leo walks his dog
7
8
mile. He walks his dog 3 times a day. Which of the following shows how repeated addition can be used to find how far Leo walks his dog every day?

Answers

Answer:

I haven't seen this question before, but the correct way to write it is 78+78+78=234

Sub to SZ Lexrn if that does not show search up shiyo on vr and first vid is them please help out , thx bye . If you do it cmt and ill make a post for yall for 100 points, so my friends won't amke fun of me

Answers

Answer:

If it counts as a question, lol sure, I'd love to help

What is the slope and y-intercept of the linear equation y = 5x − 4?
m =
b =

Answers

m = 5
y = -4
the formula is y=mx+b so just look at what numbers are placed where and you should be able to understand next time :)

Answer:

I got it right on edge 2020/2021

Step-by-step explanation:

m=5

b=-4

Scientists want to estimate the mean weight of mice after they have been fed a

special diet. From previous studies, it is known that the weight is normally

distributed with standard deviation 4 grams. How many mice must be weighed so

that a 95% confidence interval will have margin of error of 0.4 grams?

Write only an integer as your answer.

Answers

Answer:

n = 484

Step-by-step explanation:

If Confidence Interval  CI = 95 %   then α = 5%  and α/2 = 2,5 %

α/2 = 0,0125

MOE for normal distribution is:

MOE = z * σ/√n

For α/2 = 0,0125    ⇒ z(score) = -2,2

MOE = |-2,2| * 4/√n

0,4*√n = 8,8

√n = 8,8 / 0,4

√n = 22

n = 484

How many pounds are in 80 kilograms?

Answers

Answer:

176.37 pounds are in 80 kilograms

Step-by-step explanation:

The kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side.

A pound is a unit of weight commonly used in the United States and the British commonwealths. A pound is defined as exactly 0.45359237 kilograms.

Geometric Sequence♡

5, -2, 4/5

the common ratio was 2/5

find the 10th term​

Answers

If this helped please mark brainliest:)

C: Determine the measure of the obtuse angle formed at the intersection of AV and HI​

Answers

Answer:

146°70°104°

Step-by-step explanation:

GivenCS║BMTo findA. m∠MIHB. m∠AVMC. Obtuse angle at the intersection of AV and HISolution

A...................................

∠MIH and ∠IHS are same side interior angles and sum up to 180° as per property, therefore

m∠MIH = 180° - 34° = 146°

B...................................

∠AVM and ∠VAS are same side interior angles

and ∠VAS and ∠LAH are vertical angles, which are equal as per property of vertical angles, so:

m∠AVM = 180° - m∠VAS = 180° - 110° = 70°

C...................................

Obtuse angle at the intersection of AV and HI, if name the intersection point O:

∠AOI = ∠HOV∠AOI = 180° - ∠AOH = 180° - (180° - 34° - 70°) = 104°

Kyle plans to estimate the area of the figure below by identifying the full and partial squares that make up the figure.
If Kyle uses the strategy, which statement best describes the figure?
O 20 full squares and 8 partial squares
0 24 full squares and 12 partial squares
0 36 full squares and 12 partial squares
O 40 full squares and 8 partial squares

Answers

Answer:

The answer is one hundred percent D

Step-by-step explanation:

Hi

Answer:

D

Step-by-step explanation:

I’m failing and I don’t understand what to do.

Answers

start at point B till you get it right

PLEASEEE HELPPP!!!! Find the slope given the points (-14,-7) and (-11,-16).

Answers

Answer:

-3

Step-by-step explanation:

Answer:m= -3

Step-by-step explanation:

James has $36.42 if he can only spend 1/6 of his money, how much money can he spend? 6 1

Answers

Answer:6.07

Step-by-step explanation:

Answer:

$6.07

Step-by-step explanation:

36 / 6 = 6

.42 / 6 = 7

6.07

bc we skip two decimal spaces to put it before the 0, there for the answer is $6.07!

Determine the quotient of 2 over 5 divided by 3 over 4

Answers

Answer:

8/15

Step-by-step explanation:

HELP PLEASEEEE! suppose the average wait time for a sandwich at a local deli is 5 min with a standard deviation of 3 min. Is it unusual to get a sandwich in only 12 minutes?

A. Yes because 12 min is more than two standard deviations below the mean.

B. No, because 12 min is less than two standard deviations above the mean.

C. No, because 12 min is more then two standard deviations above the mean.

D. Yes because 12 min is more than two standard deviations above the mean.

Answers

Answer:

D

Step-by-step explanation:

Here, we want to state if it is unusual or not get a sandwich in 12 minutes given the mean time and the standard deviation.

The answer here is that it is unusual.

The reason why it is unusual is because, two standard deviations above the mean in this case will be 5 + 3 + 3 = 11

Looking at the value given which is 12, we can see that this value is actually greater than the value which is 2 standard deviations above the mean.

What we are saying here is that 12 is greater than two standard deviation above the mean which is valued at 11

The function h(x)=1/x^2+1 is the result of the composition f(g(x)). If g(x) = x^2+1,what is f(x)? A f(x)=1/square root x B f(x)=1/x C f(x)= 1/x+1 D f(x)=1/x^2+1

Answers

Answer:

Option B is correct

Step-by-step explanation:

Given: [tex]h(x)=\frac{1}{x^2+1}[/tex] is the result of the composition [tex]f(g(x))[/tex].

Also, [tex]g(x)=x^2+1[/tex]

To find: [tex]f(x)[/tex]

Solution:

Take [tex]f(x)=\frac{1}{x}[/tex]

Now check whether [tex]h(x)[/tex] is equal to [tex]f(g(x))[/tex] or not.

First find [tex]f(g(x))[/tex]

[tex]f(g(x))=f(x^2+1)=\frac{1}{x^2+1}[/tex]

Also, [tex]h(x)=\frac{1}{x^2+1}[/tex]

Therefore,

[tex]h(x)=f(g(x))[/tex]

So,

Option B is correct

Answer: B. f(x)=1/x

Step-by-step explanation:

Edge

Can any one help me?

Answers

8x + 5 + 4x - 17 = 180

12x - 12 = 180

12x = 192

x = 16

The value of x is 16.
16
Explanation idkkkkk1

uestion 1:
Damon wants to sell his motorcycle that he paid $4,000 for 3 years ago. The motorcycle depreciated (decreased in value) at a constant rate each month over a 3-year period. If x represents the monthly depreciation amount, write an expression that shows how much Damon can sell his motorcycle for today.

Answers

Answer:

4,000 -x3

Step-by-step explanation:

x times 3 is equal to the decrease so therefore you take the decrease away form 4/oo

Answer:

3y-x=4,000

Step-by-step explanation:

please help me fill in da blanks to
answer dis annoyin question

Answers

Answer:

Step-by-step explanation:

b .  v vvhc . fhd

Kai is making a chessboard using pieces of wood that measure 1 square inch.
When he finishes, the chessboard will have an area of 64 square inches.
How many pieces of wood should he put along each side?
A cube has a volume of 125 cubic inches. What is the length of each edge?

Answers

Answer:

The correct option will be:   c.  8 pieces of wood.Step-by-step

For a certain product we obtained a regression line equation Y = 10 - 0.8 X, where X is price (in $) and Y is sales (in $1,000). The slope of the line (- 0.8) represents:___---.
A. If the price were $10, expected sales would be $8,000.B. If the price were zero, expected sales would $800.C. If the price increases by $1, sales will decrease by $800, on average.D. Sales are maximized when the price is $0.8.
E. None of the other answers are correct.

Answers

Answer:

C. If the price increases by $1, sales will decrease by $800, on average

Step-by-step explanation:

Slope of regression equation represents the increase/decrease in dependent variable Y due to unit change in independent variable X. Here, independent variable is X is price and dependent variable Y is sales. The slope negative sign represent decrease in dependent variable due to unit increase in independent variable. Sales is given in ($1000) So, (0.8*1000)=800. It means that due to unit dollar increase in price the sales will decrease by $800. Thus, If the price increases by $1, sales will decrease by $800, on average is the correct interpretation.

Which proportion can be used to show that the slope of JL is equal to the slope of MP? (sorry for the horrible quality)

Answers

Answer:

The proportion can be used to show that the slope of JL is equal to the slope of MP is  [tex]\frac{0-4}{-4-(-7)}[/tex] =  [tex]\frac{-4-8}{-1-(-10)}[/tex]  ⇒ G

Step-by-step explanation:

The rule of the slope of a line is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where (x1, y1) and (x2, y2) are two points on the line

∵ The coordinates of the point J are (-7, 4)

∵ The coordinates of the point L are (-4, 0)

x1 = -7 and y1 = 4

x2 = -4 and y2 = 0

→ Substitute them in the rule above to find the slope of LJ

∴ [tex]m_{JL}=\frac{0-4}{-4-(-7)}[/tex]

∵ The coordinates of the point M are (-10, 8)

∵ The coordinates of the point P are (-1, -4)

x1 = -10 and y1 = 8

x2 = -1 and y2 = -4

→ Substitute them in the rule above to find the slope of MP

∴ [tex]m_{MP}=\frac{-4-8}{-1-(-10)}[/tex]

∵ The slope of JL = the slope of MP

∴  [tex]\frac{0-4}{-4-(-7)}[/tex] =  [tex]\frac{-4-8}{-1-(-10)}[/tex]

The proportion can be used to show that the slope of JL is equal to the slope of MP is  [tex]\frac{0-4}{-4-(-7)}[/tex] =  [tex]\frac{-4-8}{-1-(-10)}[/tex]

Jason delivers newspapers on Saturdays and Sundays only. Each newspaper weighs about 1 pound 5 ounces. If he delivers 15 newspapers each day, how much do the two days' worth of newspapers weigh in pounds and ounces?

Answers

Answer:

39pounds 6oz

Step-by-step explanation:

15x2=30

1x30=30pounds

5x30=150oz

30p+150oz=39.37500

37500p=6oz

39pounds and 6 oz

what is /4 of 3/4 =
What is 1/4 of 3/4

Answers

Answer:

3/16

Step-by-step explanation:

1/4 of 3/4 is just another way of saying (1/4)*(3/4). When multiplying fractions, you must multiply the numerators and denominators to get the product so the numerator of the products is 1*3 and the denominator is 4*4 to get:

3/16

Answer:

3/16

Step-by-step explanation:

1/4 of 3/4

= 1/4 × 3/4

you multipy the numerators together and then multiply both denominators

ie. 1×3 divided by 4×4

= 3/16

A family is purchasing 17 tickets for a downtown walking tour. Adult tickets are $10, child tickets are $7, and senior tickets are $8.50. The total

cost of the tickets is $141.50, and they are purchasing 2 more senior tickets than adult tickets.

Create and solve a system of linear equations to represent this situation. Then select the true statement.


А. The solution to this system is nonviable because it results in a fractional number of tickets.

B. The solution to this system is no viable because it results in a negative number of tickets.

C. The solution to this system is viable.

D. The solution to this system is nonviable because it results in a fractional amount of money.

Answers

Answer:

А. The solution to this system is nonviable because it results in a fractional number of tickets.

Step-by-step explanation:

Let x represent the number of adult tickets, y represent the number of child ticket and z represent the number of senior ticket.

Since the number of purchased ticket is 17, hence:

x + y + z = 17         (1)

The total cost of tickets is $141.50, hence:

10x + 7y + 8.5z = 141.5       (2)

they are purchasing 2 more senior tickets than adult tickets, therefore:

x = z + 2        (3)

Solving equation 1 2 and 3 simultaneously gives:

x =17/3, y = 23/3, z = 11/3

Therefore the solution to this system is nonviable because it results in a fractional number of tickets.

Answer:

А.The solution to this system is nonviable because it results in a fractional number of tickets

Step-by-step explanation:

took the test on edmentum and got it correct

Use rounding to estimate the product of 5,555 and 4,444 round both numbers to the nearest thousand to find answer

Answers

Step-by-step explanation:

Given that the first number is

5,555 and

the second number is 4,444

the product of 5,555 and4,444= 24686420

to the nearest thousand 5,555= 6000

to the nearest thousand 4,444= 5000

Therefore the product of 6000 and 5000 is

=6000x5000

=30000000

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