Ammeters produced by a manufacturer are marketed under the specification that the standard deviation of gauge readings is no larger than 0.2 amp. One of these ammeters was used to make ten independent readings on a test circuit with constant current. The sample variance S 2 of these ten measurements is 0.0653 and it is reasonable to assume that the readings are normally distributed. Find the approximate probability that the sample variance will exceed 0.0653 if the true population variance is 0.04

Answers

Answer 1

Answer:

0.101

Step-by-step explanation:

Given that :

Standard deviation, s = 0.2

Sample variance, s² = 0.0653

Sample size, n = 10

Population variance = σ² = 0.04

We use the Chi square distribution :

(n - 1)s² / σ²

For P(s² ≥ 0.065)

(n - 1)s² / σ² = (10 - 1)*0.0653 / 0.04

(n - 1)s² / σ² = 0.585 / 0.04 = 14.625

P(s² ≥ 14.625) = 0.101 ( chi squee calculator).


Related Questions

plz help look at the image for the question

Answers

The answer is 9. Thank you for your time

A student group claims that first-year students at a university must study 2.5 hours (150 minutes) per night during the school week. A skeptic suspects that they study less than that on the average. A class survey finds that the average study time claimed by 272 students is xbar= 141 minutes, with a sample standard deviation of 66.

Regard these students as a random sample of all first-year students and suppose we know that the study times follow a Normal distribution.

What is the standard error of the sample mean?

Consider the hypotheses H0: µ = 150 against Ha: µ < 150.

What is the value of the test statistic? Give your answer to two decimal places.

The p-value for the correct test statistic is 0.0126. What do you conclude at the a = 0.05 level?

We do not have enough evidence to say that students are not studying 2.5 hours per night during the school week.
We have strong evidence that, on average, students study less than 2.5 hours per night during the school week.

Answers

Answer:

We have strong evidence that on average, students study less than 150 minutes per night during the school week

Step-by-step explanation:

Normal distribution:

mean     μ₀ = 150

Sample:

Sample size    n = 272

Sample mean   x = 141

Sample standard deviation  s  = 66

The standard error of the sample mean  SE = σ /√n

SE = 66/√272

SE = 66 / 16,49

SE = 4

Test Hypothesis:

Null hypothesis                            H₀             x  =   μ₀

Alternative hypothesis                Hₐ            x <    μ₀

z(s)  test statistics is:

z(s)  =  ( x  -  μ₀ ) / s/√n

z(s) = - 9 /4

z(s) =  -  2,25

p-value  for that z(s)      p-value  = 0,0122

Then for α =  0,05 p-value < 0,05

We are in the rejection region we need to reject H₀

How much of a pizza does each person get if you divide half a pizza among three people?

Answers

One piece cause half of 8 is 4 and there is 3 people
It also depends on how you slice it. They could get 1/3 if the pizza is sliced into 6 pieces.

Santa and Mrs Claus are eating cookies santa ate 10/20 of the cookies and Mrs Claus ate the rest what fraction did Mrs Claus eat ?​

Answers

Answer: 10/20 or 1/2

Step-by-step explanation:

10 is the half of twenty, if she’s gonna eat the rest, she’s gonna eat the other half

Santa ate 10/20. right?

so you would subtract 10 from 20

which would give you 10

so Mrs. Claus also ate 10/20

-----

Another way to solve:

since 10/20 = 50%

Mrs. Claus ate the same amount

because 50% is half of 100% ( 1 whole )

So, Mrs. Claus ate 10/20

answer and get brainliest

Answers

Answer:

50

Step-by-step explanation:

4 x 1=4

2.5 x 5=12.5

12.5 x 4=50

So 50 is the answer can i have brainliest now please

Simplify The expression
-5/8 (-3/8 - 1/4)

Answers

Answer:

25/64

Step-by-step explanation:

do what's inside parentheses first

-3/8 - 2/8 = -5/8

-5/8(-5/8) = 25/64

A cone has a radius of 24 cm and a volume of 1920 cm3. What is the volume of a similar cone with a radius of 18 cm?

Answers

Answer:

just divide 18 by 1920 duh

Step-by-step explanation:

leah is making trail mix. the recipe calls for 1 cup granola, 3/4 cup raisins, and 1/3 cup nuts. can she order all the trail mix in a 2-cup container?

Answers

No add 3/4 and 1/3 it’s 1.083 so 1 cup plus 1.08 cups would be over

Convert these mixed numbers into improper fraction
1 1/3​

Answers

11/3
=1x3 =3
Then 3+1 = 4
Answer = 4/3

at noon the temperature in successor Michigan was 82°F by midnight the temperature had fallen to 66°F what was the change in temperature over the 12 hour period

Answers

Answer:

The change in temperature was of -16ºF, that is, a decrease of 16ºF.

Step-by-step explanation:

At noon, the temperature was of 82°F.

By midnight the temperature had fallen to 66°F.

Change:

Final value subtracted by initial value, so

66ºF - 82ºF = -16ºF

The change in temperature was of -16ºF, that is, a decrease of 16ºF.

1) You have some books. You need to ship the books to your friend. The books are 8 inches height, 5 inches
width, and 2 inches depth. How many of these books could you pack into your closet which is 20 inches long, 25
inches wide and 30 inches high?

Answers

Answer:

187 Books

Step-by-step explanation:

First you need to figure out the area of the closet. To do this you need to do 20 x 25 x 30 which equals 15,000. Then you should figure out the area of the books. To do this you would do 8 x 5 x 2 which equals 80. Then do 15,000 divided by 80 and you get 187.5 but you cant fit half a book in so then you round down and you get 187.

Quinn works at the Sugar Cup Café. This morning, she made the day's first batch of hazelnut coffee by mixing together 6 ounces of hazelnut syrup and 75 ounces of unflavored coffee. When it ran out in the afternoon, she made a second batch by mixing together 2 ounces of hazelnut syrup and 25 ounces of unflavored coffee. Which batch of coffee had a stronger hazelnut flavor?

Answers

Answer:

neither

Step-by-step explanation:

un juego de 4 dados tiene una valor de 1500 pesos ¿cual es el valor de cada dado si todos cuestan lo mismo

Answers

Answer: 375

Step-by-step explanation: 1500 % 4 = 375

PD: que caros dados!

A triangle has an area of 114.6 square kilometers and a height of 12 kilometers. What is the length of the base?

Answers

Answer:

base = 19.1 km

Step-by-step explanation:

start with formula:

A = bh/2

plug in what's known:

114.6 = 12b/2

114.6 = 6b

b = 114.6/6

b = 19.1

I really need help what is 854÷7 I will make you a brainlist

Answers

Answer:

854÷7=122

Step-by-step explanation:

DIVISION

122

Answer:

The Answer is 122

Step-by-step explanation:

854/7

854-854 equalling 0 and have a value of 122 of how much was divide by using 7

(7 x 122 equal that of 854)

Brad paid $7.00 for books and $0.99
for pencils. How much did he spend?
A $10.60
B $1.06
$79.90
$7.99

Answers

Answer:

7.99 or D

Step-by-step explanation:

It is simple addition.

$7.99 so the answer is d

An individual who has automobile insurance from a certain company is randomly selected. Let X be the number of moving violations for which the individual was cited during the last 3 years. The probability mass function of X is given below as; Number of moving violations (X) 0 1 2 3 4 P(X) 0.17 0.23 0.27 0.24 0.09 What is the cumulative distribution function

Answers

Answer:

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

F(x)    0.17    0.04    0.65    0.91      1      

Step-by-step explanation:  

Given that;

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

cumulative distribution function can be calculated by;  be cumulatively up the value of p(x) with the values before it;

so

x      F(x)

0     P(X = 0) = 0.17

1       P(X = 0) + P(X = 1) = 0.17 + 0.23 = 0.4

2      P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.23 + 0.27 = 0.65

3      P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.17 + 0.23 + 0.27 + 0.24 = 0.91

4      P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.17 + 0.23 + 0.27 + 0.24 + 0.09 = 1

Therefore, cumulative distribution function f(x) is;

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

F(x)    0.17    0.04    0.65    0.91      1      

there are 38 students involved in planning the homecoming parade. of these students 15 are boys and 23 are girls. if two members are selected to lead the parade what is the probability that both are girls ​

Answers

Answer:

About 65%

hope this helps a little

HELP ASAP WILL MARK U BRAINLIESTTTT

Answers

Answer:

125q^6p^3

Step-by-step explanation:

help i will give brainlist

Answers

Answer:

its #2 (on the top right)

Step-by-step explanation:

can someone give me a hand​

Answers

Answer:

Where's the table

Step-by-step explanation:

Explain your answer

Thank you so much !

Will give brainlst

Answers

Answer:

Good luck with that

Step-by-step explanation:

We r to lazy to do it

Answer:

C

Step-by-step explanation:

Granite is mined worldwide but the most exotic colours are obtained from granite deposits in Brazil, India, China, Finland, South Africa and North America. Granite mining is a capital and labour intensive process. Chunks of granite are extracted from deposits by cutting or blasting procedures.

which shows the product of 23 and 39​

Answers

Answer:

897

Step-by-step explanation:

"Product" in math refers to multiplication, so you would just multiply the two to get 897.

Answer:

897

Step-by-step explanation

multilpy

Every year, Jada's scout troop makes and sells tie-dyed shirts to raise money for charity. Short-sleeved shirts are easier to make, so they try to sell more short-sleeved shirts than long-sleeved shirts. Last year, her troop sold 20 short-sleeved shirts and 25 long-sleeved shirts. This year, her troop sold 35 short-sleeved shirts and 50 long-sleeved shirts. Which year's sales had a greater ratio of short-sleeved shirts to long-sleeved shirts?

Answers

Answer:

long-sleeved

Step-by-step explanation:

long-sleeved shirt has gained 25 more sales than last year while short sleeved shirt sales only gained 15 more sales than last year.

Answer:

Last year's sales had a greater ratio.

Step-by-step explanation:

I'm sorry if it's wrong

A) what slope does this line have?
B) what is the slope of the line?
C) what is the y- intercept of the line?
D) what is the equation of the line?

Answers

Answer:

The slope is a positive linear slope

The slope is 2

The y-intercept is -4

The equation of this line would be: y = 2x - 4

Step-by-step explanation:

y = mx + b format

m = slope

b = y-intercept

and x and y are the x and y components

a bag contains 8 blue chips, 7green chips and 2 white chips. if two chips are drawn without replacement, what is the probability of drawing a blue chip and a green chip​

Answers

b=8, g=7, w=2, total=17

(8/17)(7/16)=56/272=7/34

Answer:

7/34

Step-by-step explanation:

Which expression is equivalent to 6(3c-4)-2(5c-1)

Answers

Answer:

Step-by-step explanation:

8c−22

Answer:

8c−22

Step-by-step explanation:

Find the missing angle!

Answers

∠PRQ = ∠STR

∠STR + 60° + 58° = 180°

∠STR = 62°

∠PRQ = 62°

Jason wants to earn money by raking leaves. He buys a rake that costs $20.00. He plans to charge $6.00 for each
lawn that he rakes. (A-CED.2)
A. Write an equation to represent P, the amount of Jason's profit, if the number of lawns he rakes is r.
B. Use your equation to calculate the amount of profit Jason will make if he rakes 15 lawns.

Helppppppppp meeeeeeee!

Answers

Answer:

The equation would be 6r-20... If he raked 15 lawns, his profit would be $70

Step-by-step explanation:

For B. plugin 15 where r is... then multiply that by 6... which will get us 90. Then subtract the $20 rake fee and we get a profit of 70 dollars. Hope this helps!

find the volume of a cylinder with radius 3cm and height 7cm​

Answers

Answer:

197.92

Step-by-step explanation:

3.14*3*2*7=197.92

Answer:

197.92 cu cm  to the nearest hundredth

Step-by-step explanation:

Volume = area of the base time the height.

Your base is a circle, so A = [tex]\pi r^{2}[/tex] = [tex]\pi 3^{2}[/tex] = 9π

Vol = 9π(7) = 63π ≅ 197.92 cu cm  to the nearest hundredth

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