A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 405 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 396 grams with a variance of 441. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal.

Required:
State the null and alternative hypotheses.

Answers

Answer 1

Answer:

We reject H₀

Step-by-step explanation:

Normal Distribution with  n  = 22   ( sample size)

n<30 we need to use a t-student distribution

Sample mean  μ =   396        

Population mean  ( required mean )  μ₀  = 405

Sample variance is  441 then sample standard deviation s = √441

s  =  21

Hypothesis Test

Null Hypothesis                                          H₀         μ   =   μ₀

Alternative Hypothesis                               Hₐ       μ   <   μ₀

Significance level   α = 0,1    

The test is a one-tail test to the left

From t-student table we find for  t(c)

degree of fredom     df  = 22 -1       df  =  21

and  α = 0,1           t(c)  =  - 1,3232

To compute t(s)

t(s)  =  ( μ  -  μ₀ ) / s /√n

t(s)  =  ( 396  - 405 )*√n / 21

t(s)  =  - 9 *4,69 /21

t(s)  =  -  2,01

Comparing

t(s) and  t(c)          - 2,01     and   - 1,3232

|t(s)| > |t(c)|   then   t(s) is in the rejection region we must reject H₀


Related Questions

HELP NOW PLSSSSS
(where the longer it takes to solve a problem and the fewer people who answer it correctly, the more difficult it is). On each subsection, question 1 will be "easy" and question 15 will be considered "difficult." However, the ascending difficulty resets from easy to hard on the grid-ins.

Hence, multiple choice questions are arranged in increasing difficulty (questions 1 and 2 will be the easiest, questions 14 and 15 will be the hardest), but the difficulty level resets for the grid-in section (meaning questions 16 and 17 will again be "easy" and questions 19 and 20 will be very difficult).

Answers

the answer is 4/.12

:)

Answer:

Hence, multiple choice questions are arranged in increasing difficulty (questions 1 and 2 will be the easiest, questions 14 and 15 will be the hardest), but the difficulty level resets for the grid-in section (meaning questions 16 and 17 will again be "easy" and questions 19 and 20 will be very difficult).

What is the question??

Rewrite the expression as the sum of two numbers 7(2+5)

Answers

answer:

its 7 x 7 or 49

explanation:

First you used distribute property
7(2+5) bring 7 into the parentheses
14+35 Then you just add
49 that’s the sum

Consider the following frequency table representing the scores on a test.

Scores on a Test

Class Frequency
40–43 7
44–47 7
48–51 7
52–55 8
56–59 4

Required:
a. Determine the lower class boundary for the fifth class.
b. Determine the upper class boundary for the second class.
c. Determine the class width of each class.
d. Determine the number of scores between 39.5 and 55.5

Answers

Answer:

(a)56

(b)47

(c)3

(d)29

Step-by-step explanation:

From the given frequency

(a) Fifth class is 56-59.

    The lower class boundary for the fifth class is 56.

(b) Second class is 44-47.

    The upper-class boundary for the second class is 47.

(c) Class width = 47-44 = 3, 47-44 = 3.

(d) Number of scores between 39.5 and 55.5 is

    =7 + 7+ 7 + 8 =29

Alaina went to the pet store to buy fish for her new 14-gallon fish tank. Each large fish costs $8 and requires 2 gallons
of water. Each small fish costs $3 and requires 0.5 gallon of water. She has $70 to spend on fish at the pet store. Circle
the combination of large and small fish can Alaina purchase for her fish tank?

Answers

Answer:

Small fish= 7

Big fish= 21/4 (so she'll get 5 big fish)

Step-by-step explanation:

With the problem, there are two equations, one for the cost, and one for the amount of water. For the first equation, Alaina can spend 70 dollars and the fish cost 8 and 3 dollars so the equation is 70=8b+4s (s for small and b for big). Then for the second equation there are 14 available gallons and the fish require 2 and .5 gallons so 14=2b+0.5s. Then you just solve the system of equations.

Erica’s parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual interest. She left the money in the account for nine months before she withdrew it. How much interest did the account earn if interest is paid monthly If she would have left the money in the account for another nine months before withdrawing, how much interest would the account have earned?

Answers

Answer:

$28.84

Step-by-step explanation:

That's for the first one that I found, the two other problems I don't know yet.

Is 9/16 a terminating or repeating decimal plz ASAP brainley

Answers

Answer:

terminating.

Step-by-step explanation:

9/16 converted to a decimal is .5625 which is terminating

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.8 and 51 min.

Answers

Answer: the probability that the class length is between 50.8 and 51 min is  0.1 ≈ 10%

Step-by-step explanation:

Given data;

lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min

hence, height = 1 / ( 52.0 - 50.0) = 1 / 2

now the probability that the class length is between 50.8 and 51 min = ?

P( 50.8 < X < 51 ) = base × height

= ( 51 - 50.8) × 1/2

= 0.2 × 0.5

= 0.1 ≈ 10%  

therefore the probability that the class length is between 50.8 and 51 min is  0.1 ≈ 10%  

What is the least common denominator of 1/4 and 7/9

Answers

Answer: It is 36

Step-by-step explanation:

Suzi starts her hike at 275 feet below sea level. When she reaches the end of the hike, she is still below sea level at −135 feet. What was the change in elevation from the beginning of Suzi's hike to the end of the hike?

Answers

Answer:

Have a nice day!

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Hi there!

This problem may seem tricky because of the negative sea level, os let’s set up an equation.

[tex]-275+x=-135[/tex] where x = the change in elevation.

Using orders of operations, add 275 to both sides and you will end with

x = 140

Her change in elevation is 140 feet.

I hope this helps!

What is the slope of a line parallel to the line 2x + 3y = 5?

Answers

i think its 2/3 but im not sure .

Answer:

D

Step-by-step explanation:

Parallel lines have same slope

Write the equation in slope - intercept form

2x + 3y =5

       3y = -2x + 5

Divide the equation by 3

    [tex]y = \frac{-2}{3}x +\frac{5}{3}[/tex]

So, slope = (-2/3)

Part A : At Mountain Park Middle school, there are 250 seventh-grade students who are not in advanced math. Let a represent the number of seventh-grade students who are not in advanced math?

Part B: How many students are NOT in advanced math?

Answers

Answer:

hard to explain

Step-by-step explanation:

Answer:I think 80 at bottom like

Step-by-step explanation:

FinWhat is the perimeter of the triangle in the graph? Round your answer to the nearest tenth if necessary. (1 point) 8.9 8.0 12.9 8.5d the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4), N(1,2), O(4, y)

Answers

Answer:

man did you ever find out the answer bc I'm dying I cannot fail this test-

Answer:

12.9

Step-by-step explanation:

it is common sense

also i just took test

What is the area of the region bounded by the lines x= 1 and y= 0 and the curve y=xe^x^2?

Answers

Answer:

A = 0.859

Step-by-step explanation:

We want to find the area of the region bounded by the lines x = 1 and y = 0 and the curve y = xe^(x²).

At y = 0, let's find x;

0 = xe^(x²)

Solving this leads to no solution because x is infinity. Thus we can say lower bound is x = 0.

So our upper band is x = 1

Thus,lets find the area;

A = ∫xe(x²) dx between 1 and 0

A = (e^(x²))/2 between 1 and 0

A = ((e¹)/2) - (e^(0))/2)

A = 1.359 - 0.5

A = 0.859

Find the measure of angle b (15

Answers

Answer:

Angle b is 15 measure the scale

What would you tip for a $22 meal if you wanted to leave 15%?
$18.70
$4.40
$3.30
$25.30

Answers

3.30 because 22 x 15% = 3.3
3.30,good luck with your math

Solve the inequality.
X + 25 < 33
O A. x< 58
B. x < 8
C. X> 58
O
D. X > 8

Answers

Answer:

x < 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

x + 25 < 33

Step 2: Solve for x

Subtract 25 on both sides:                    x < 8

Here we see that any value x smaller than 8 would work as a solution to the inequality.

Find the value of x.
4x + 5
2x + 21, smby help me wit dis pls

Answers

Answer: x = 8

Step-by-step explanation:

4x + 5 = 2x + 21

4x + 5 - 2x = -2x + 2x +21 (Subtract 2x from both sides)

2x + 5 = 21

2x + 5 - 5 = 21 - 5 (Subtract 5 from both sides)

2x = 16

2x/2 = 16/2 (Divide both sides by 2)

x = 8

help me , my project is do soon .

Answers

Answer:

whats the question

Step-by-step explanation:

Evaluate the expression P(6,1)

Answers

Answer:

p(6,3)=120

Step-by-step explanation:

In the pic is how to do it

The value of the permutation expression P(6, 1) will be 6.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Evaluate the expression P(6, 1).

We know that the formula for the permutation is given as,

ⁿPₓ = n! / (n - x)!

From the above, the value of n is 6 and the value of x is 1. Then we have

⁶P₁ = 6! / (6 - 1)!

⁶P₁ = 6! / 5!

⁶P₁ = 6 x 5! / 5!

⁶P₁ = 6

The value of the permutation expression P(6, 1) will be 6.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ5

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum=7, maximum = 83, 6 classes ​

Answers

Answer:

-24+6=

Step-by-step explanation:

select the correct rule, then solve the equation

Complete Question

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum=7, maximum = 83, 6 classes ​

What is the class width? (whole number)

We have that the Class Width is given as

7-19

20-32

33-45

46-58

59-71

72-84

Generally

[tex]Class\ width =\frac{83-7}{6}[/tex]

Class width =12.67

Class width =13

Hence

Lower class limit is

7,7+13=20...33,46,59,72

Upper class limit is

7+13-1=19,32,45,58,71,84

For more information on this visit

https://brainly.com/question/17871636?referrer=searchResults

Suppose that the functions q and r are defined as follows.
q(x) = -x-1
r(x) = 2x² – 2
Find the following.
(q*r)(-5) =
(r*q) (-5) =​

Answers

Step-by-step explanation:

r(-5) = 2*25 - 2 = 48

Q(-5) = 5 - 1 = 4

n − 32 5 = 10 help plz

Answers

Answer:

n=335

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

n − 325 = 10  equation

Step 2

n − 325 = 10  simplify by adding 325 to both sides

Answer

n=335

Change 13/5 to a mixed number PLEASE HELP ME

Answers

Answer:

[tex] 2 \frac{3}{5} [/tex]

Step-by-step explanation:

13 = 5 + 5 + 3

[tex] \dfrac{13}{5} = [/tex]

[tex] = \dfrac{5 + 5 + 3}{5} [/tex]

[tex] = \dfrac{5}{5} + \dfrac{5}{5} + \dfrac{3}{5} [/tex]

[tex] = 1 + 1 + \dfrac{3}{5} [/tex]

[tex] = 2 \frac{3}{5} [/tex]

Answer:

[tex]2\frac{3}{5}[/tex]

The fraction consists of two numbers and a fraction bar: 13/5 The number above the bar is called numerator: 13 The number below the bar is called denominator: 5 The fraction bar means that the two numbers are dividing themselves. To get fraction's value divide the numerator by the denominator: Value = 13 ÷ 5

To calculate the greatest common factor, GCF: 1. Build the prime factorizations of the numerator and denominator. 2. Multiply all the common prime factors, by the lowest exponents. Factor both the numerator and denominator, break them down to prime factors: Prime Factorization of a number: finding the prime numbers that multiply together to make that number. 13 is a prime number, it cannot be factored into other prime factors; 5 is a prime number, it cannot be factored into other prime factors; * Positive integers that are only dividing by themselves and 1 are called prime numbers. * A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself. Multiply all the common prime factors, by the lowest exponents. But, the numerator and denominator have no common factors. gcf (13; 5) = 1Fraction 13/5 is a positive improper fraction (numerator > denominator).Mixed number = a whole number and a proper fraction, of the same sign. Proper fraction = numerator smaller than denominator.

13 ÷ 5 = 2 and remainder = 3 =>

13 = 2 × 5 + 3 =>

13/5 =

(2 × 5 + 3) / 5 =

2 + 3/5 =

2 3/5

whats the value of v 69 = 7v – 6

Answers

Answer:

75/7

Step-by-step explanation:

69=7v-6 rewrite as 69+6=7v

75 = 7v

75/7 = v

Please I need help like now

Answers

Answer:

it's is d

Step-by-step explanation:

seening this info

for every 2/3 of cold water there is 1/2 of vegetable Oil

to make this answer complte if if we add a another cup of water the amount that is requared  and since were adding 1/2 of oil which is 2/3 of water need adding 2/3+2/3=4/3

Hence 4/3 or D is right

Consider all four-digit numbers that can be made from the digits 0-9 (assume that numbers cannot start with 0). What is the probability of choosing a random number from this group that is less than or equal to 5000

Answers

Answer: 0.44

Step-by-step explanation:

First, let's count the total number of four-digit numbers.

Let's think it as four empty slots:

_ _ _ _

In each slot, we can put a single digit.

In the first slot, we have 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9}

The zero is not an option here, because if there was a 0, this would be a 3 digit number, then the 0 can not be in the first slot.

For the second slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

for the third slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

for the fourth slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

The total number of combinations is equal to the product between the numbers of options for each slot, this means that we have:

Combinations = 9*10*10*10 = 9000

So there are 9000 different 4 digit numbers.

Now we want to find the probability of selecting a number at random that is equal or smaller than 5000.

Let's see the number of 4-digit numbers that are equal or smaller than 5000.

The smallest 4-digit number is 1000.

Then the number of numbers between 1000 and 5000 is:

5000 - 1000 = 4000

This means that there are 4000 4-digit numbers that are equal or smaller than 5000.

Now, the probability of selecting one of them at random is equal to the quotient between the number of 4-digit numbers that meet the condition (4000) and the total number of 4-digits (9000)

Then te probability is:

P = 4000/9000 = 4/9 = 0.44

T

(Giving brainliest to correct answer)
Need quick
28 POINTS ANSWER RIGHT

Congruence

Answers

Answer:

BE =DE

BEC=DEC

AEB AED

Step-by-step explanation:

not that hard lol

Jeffrey is 5 years older than his brother. If j represents Jeffrey’s age, the expression j−5 can be used to find his brother’s age. If Jeffrey is 23, how old is his brother?

Answers

If j=23 and j-5 is how old Jeffery's brother is then Jeffrey's brother is 17 years old.

So j=17

His brother is 17 because 23-5 =17

What equation is a proportion?

7/9 = 21=28
1/3 = 1/4
5/8 = 20/32
3/4 = 6/9

Answers

5/8 = 20/32
Explanation: 5 x 4 = 20 and 8 x 4 = 32

Answer:

5/8=20/32

Step-by-step explanation:

48 is 16 2/3% of what number?

Answers

Answer:

288

Step-by-step explanation:

I hope this helps <3

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