A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 417 gram setting. It is believed that the machine is underfilling the bags. A 13 bag sample had a mean of 415 grams with a standard deviation of 30. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Answers

Answer 1

Answer:

P value = 0.407

Hence, as P-value (0.407) is greater than 0.1

Fail to reject Null hypothesis

Step-by-step explanation:

Given the data in the question;

sample size n = 13

sample mean x" = 415

standard deviation s = 30

level of significance = 0.1

so;

Null hypothesis H₀ : μ = 417

Alternative hypothesis Hₐ : μ < 417

degree of freedom DF = n - 1 = 13 -1 = 12

Rejection Region { level of significance = 0.1, df = 12 }

critical value of t is - 1.356 as { left tailed test }

Test Statistics;

t = (x" - μ) / [tex]\frac{s}{\sqrt{n} }[/tex]

we substitute

t =  (415 - 417) / [tex]\frac{30}{\sqrt{13} }[/tex]

t = -2 / [tex]\frac{30}{\sqrt{13} }[/tex]

t = -0.24

so, from table;

P value = 0.407

Hence, as P-value (0.407) is greater than 0.1

Fail to reject Null hypothesis


Related Questions


SOMEONE PLS HELP ME

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Answer:

4

Step-by-step explanation:

hope this helps

Answer:

The slope is 2

Step-by-step explanation:

its 6/3 and if you simplify that its 2

Solve for x 4(2x+3)
I’ll mark brainlyest

Answers

Answer:

=2x5+3x4 plus brainliest please

Step-by-step explanation:

=(x4)(2x+3)

=(x4)(2x)+(x4)(3)

=2x5+3x4

Answer:

You cant solve it because its an expression but below is the expression simplified if you put the equal thing I will edit it to make it correct

Step-by-step explanation:

4 x 2x = 8x

4 x 3 = 12

8x + 12

what is the area of 5m, 17m, 8m, and 5m, the shape is a kite

Answers

Answer:

It can't be a kite. A kite has 2 pairs of equal sides.

Step-by-step explanation:

find the Sum and the product
of the root of the Equadration
1/3and 2/3​

Answers

Answer:

sorry do not know

Step-by-step explanation:

.

Answer:

9x² - 9x +2

Step-by-step explanation:

general formula =x²-(sum of roots)x+(product of roots)

Joseph invested $6,700 in an account paying an interest rate of 5.2% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,950?

Answers

Answer:

Step-by-step explanation:

A=P(1+r/c)^(ct), where a is final value, P is the initial value or principle, r is the interest rate, and c is the number of compounding periods in a year.

ln(A/P)/ln(1+r/c)=ct so

t =(ln(A/P)/(cln(1+r/c)), given A=13950, P=6700, r=0.052, c=4

t=(ln(13950/6700))/(4ln(1.013))

t=14 years

Answer:

14  

Step-by-step explanation:

Which is greater 3/10 or 3/100

Answers

Answer:

3/10ths is bigger

Step-by-step explanation:

James had 42 dollars. He bought his sister a gift that cost x dollars. Write an expression representing how much money James has now.

Answers

Answer:

42 dollars -x......................

you are working to save money for a trip you need to save 1500 you already saved $250 saved, and make $10 an hour at your job whites and solve an equation to represent how many hours, h, you need to work to make the rest of the money

Answers

Answer:

125 hrs

Step-by-step explanation:

1500-250=10h

simplify

1250=10h

divide both sides by 10

h=125

125 hrs

Can someone please help me with the last three?? I don’t know what I keep doing wrong.

Answers

Answer:

1. 78.22%

2. 0.342%

3. 21.77%

Step-by-step explanation:

To find the percentage, you multiply the fraction of those tested positive/negative (based on the question) out of the total by 100%.

1. [tex]\frac{970}{1240}[/tex] × 100% = 78.22% (2 d.p.)

2. [tex]\frac{30}{8760}[/tex] × 100% = 0.342% (3 d.p.)

3. [tex]\frac{270}{1240}[/tex] × 100% = 21.77% (2 d.p.)

which algebraic expression represents "the difference of fofty-four and seven times a number

Answers

Answer:

44-7x

Step-by-step explanation:

Can someone please help me

Answers

Answer:

the answer is d

Step-by-step explanation:

Answer:

It's either A or D but I don't know because I don't know where the 1 starts.

Step-by-step explanation:

Can someone help me?

Answers

Answer:

Step-by-step explanation:

5y-7=5d+3y

we will subtract 3y from both sides

5y-3y-7=5d

we will add 7 on both sides

2y=5d+7

we divide by 2

y=(5d+7)/2

or

y=5d/2+7/2

Answer:


Y= 5d/2+7/2

find the 8th term of the geometric sequence 3,9,27

Answers

Answer:

6,561

Step-by-step explanation:

multiply 3 by the last number, like 3*3 is 9 then 9*3 is 27*3 is 81 then 81*3 243 and so until it reaches 8 time


Find the distance between A and B.
A 12 units
B.V106 units
C.9 units
D. 2/12 units

Answers

Answer:

B. [tex] \sqrt{106} [/tex]

Step-by-step explanation:

Distance between A(-4, 3) and B(5, -2) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] (-4, 3) = (x_1, y_1) [/tex]

[tex] (5, -2) = (x_2, y_2) [/tex]

Plug in the values into the formula

[tex] d = \sqrt{(5 -(-4))^2 + (-2 - 3)^2} [/tex]

[tex] d = \sqrt{(9)^2 + (-5)^2} [/tex]

[tex] d = \sqrt{81 + 25} [/tex]

[tex] d = \sqrt{106} [/tex]

An observer (O) spots a bird flying at a 42° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 17,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. (4 points)


A right triangle B N O is shown with angle B marked 42 degrees, side B N marked x and side B O marked 17000 feet.


a

11,375 feet


b

12,633 feet


c

14,862 feet


d

15,307 feet

Answers

Answer:

12,633 feet

Step-by-step explanation:

The horizontal distance between the observer and the bird's nest is

b. 12,633 feet

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, An observer (O) spots a bird flying at a 42° angle from a line drawn horizontally to its nest.

The hypotenuse distance which is from the observer's eye to the bird's nest is 17000ft and we need the horizontal distance or the distance of the adjacent.

∴ , cos = adjecen/hypotenuse.

cos42° = adjacent/17000.

adjacent = 17000×cos42°.

adjacent = 17000×0.743.

adjacent = 12631 feet.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ2

72 is the result of x-20%

Help please--the way that I thought of solving this is not what the book says the answer is​

Answers

Answer:

The original cost was $90.

Step-by-step explanation:

"Judy bought a coat at the office of $72, which is 20% off the original price. what was the original cost of the coat?"

Your equation contains an error that will lead to an incorrect answer.

This is the correct way to write the equation.

We don't know the original price, so we let x = the original price.

The discount was 20% off the original price, so the discount is 20% of x.

20% of x is the same as 20% * x = 0.2x. The discount is 0.2x. We now subtract the discount from the original price.

x - 0.2x

She paid the discounted price of x - 0.2x. We are told that amount is $72, so we let our expression of the discounted price equal the discounted price we are told she paid.

x - 0.2x = 72

Now we solve for x, the original price.

x - 0.2x = 72

Combine like terms on the left side.

0.8x = 72

Divide both sides by 0.8

0.8x/0.8 = 72/0.8

x = 90

Answer: The original cost was $90.

P.S.

You must be careful when writing the equation. What you wrote was

x - 20%

on the left side. Notice that 20% is simply equal to 0.2; it is not 20% of the original price. By writing

x - 20% = 72

you are in fact writing

x - 0.2 = 72

meaning that the discount was $0.20

A discount of 20% on $90 is really $18, not $0.20.

There is a big difference there.

If you have any questions, just ask in the comments.

Help pls asap I really need help this is confusing

Answers

The page is black?? Sorry couldn’t help

Please help. I hope u r all safe. Please help thanks so much.

Answers

Answer:

189.3 cm^2

Step-by-step explanation:

split into a rectangle and a semi-circle

rectangle=LxW=10x15=150 cm^2

radius (r)=1/2 diameter=5 cm

semi-circle=1/2(pi)r^2=1/2(3.14)(5^2)=39.25 cm^2

150+39.25=189.25 cm^2

expression equivalent to 3(7x + 9)

Answers

Answer:

21x + 27

Step-by-step explanation:

3(7x + 9)

21x+27is your answer

2. A 30-foot tree broke from its base and fell against a house. If the tree touches the house at a height of 21
feet, how far is the base of the tree from the house? Leave your answer in the simplest radical form.
A. 51 square root 3
B. 9 square root 17
C. 3 square root 51
D. 21.42

Answers

Answer:

C

Step-by-step explanation:

A positive - negative = what?

Answers

A positive - negative = either negative or positive

Step-by-step explanation:

HOPE IT HELPS YOU

Answer:

0

Step-by-step explanation:

+1-1=0 is that the theme of qustion .

PLEASE ANSWER!! will mark brainliest​

Answers

Answer:

it's the second one

Step-by-step explanation:

a^7/a^13

=1/a^6

=1/(a^2)^3

= 1/ 3√(a^2)^3

=1/(a^2)

(c^3)^3

=3√(c^3)^3

=(c^3)

hence as these results matches so I think option b is correct.

Interest of 1 million dollars 23% and 6 years please solve and will give brainliest to correct answer

Answers

Answer:

$2,462,825.99 is the interest accrued

Step-by-step explanation:

hope this helps

Solve the inequality 5 - 4x > -x+8​

Answers

The answer is,

[tex]x < - 1[/tex]

will give brainliest IF CORRECT

What is the name of the angle
relationship?

vertical angles
supplementary angles
complementary angles

Answers

Answer:

They are supplementary angles.

Hope it will help :)

The Science Club went on a twoday field trip. The first day the members paid $50 for transportation plus s19 per ticket to the planetarium. The second day they paid $85 for transportation plus s16 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for then members of the club. An expression that represents the total cost in dollars for two days for the n mambers Of the club is given by​

Answers

Answer:

(50+19)+(85+16)

170xn

Step-by-step explanation:

if a trader make a loss of 10% when he sells a watch for 15,300
a what is the cost price
b how much would he gain if he made a profit of 6%

Answers

Answer:

A. original price: 16830

B. Profit gain: 918

10%=1530

6%=918

#gamer

3.5-5.5n-4n+8 help please

Answers

You’re just simplifying it I think so . 8+3.5= 11.5 and then -5.5n+-4n= -9.5 so in conclusion the equation is 11.5 - 9.5n

Using the table below, determine how much you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares.

Answers

The amount you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares is:$15.

Dividend

Using this formula

Amount=Dividend (Div)×Number of shares

Where:

Dividend=0.15

Number of shares=100

Let plug in the formula

Amount=0.15×100

Amount=$15

Therefore the amount you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares is: $15.

Learn more about dividend here:https://brainly.com/question/2960815

#SPJ2

Salut, am si eu o intrebare, care ma cam "bate" pot spune, deoarece imi da rezultate multiple, iar intrebarea este urmatoarea:
Cati bani poti face timp de 6 luni punand cate 5lei/zi? Dar timp de 7luni, a cate 5lei/zi??
Va rog, ajutati-ma cat puteti de repede.
Seara faina!
Dau coroana, daca pot!

Answers

Answer:

sorry

Step-by-step explanation:

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