You're a quality control manager in a fruit juice company. You want to choose
a sample size for a quality check on the cans used to package the juice. From
a batch of 30,000 cans, you want a sample size that will allow you to closely
approximate the population parameters for the entire batch. Which sample
size will most likely produce the least variability among different samples?

Answers

Answer 1

Answer:

246.

Step-by-step explanation:

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

b) The minimum sample size to achieve this is 246.

Step-by-step explanation:

We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so  

Now, find the margin of error M as such

In which  is the standard deviation of the population(square root of the variance) and n is the size of the sample. So in this question,  

The lower end of the interval is the sample mean subtracted by M. So it is 99 - 0.78 = 98.22

The upper end of the interval is the sample mean added to M. So it is 99 + 0.78 = 99.78.

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

(b) (5 points) If we want the sampling error to be no greater than 0.5, what is the minimum sample size to achieve this based on the same confidence level with part (a)

We need a sample size of n

n is found when  

Then

Rounding up

The minimum sample size to achieve this is 246.


Related Questions

PLS ANSWER THE FOLLOWING QUESTION
AND I'LL MARK U AS BRAINLIST


STEP BY STEP EXPLANATION NEEDED

Answers

Answer:

140+x+x = 180°(co-interior angle)

140+2x=180°

2x=180°-140°

2x = 40°

x = 40°/2

x = 20°

check:

140+20+20 = 180

180=180

guy pls help me!!!!!

Answers

it’s 63 degrees because the square is 90 degrees the other one is 27 degrees so add them and subtract from 180 because there is 180 degrees in a triangle

Rachel earned $54.79 last week. Morgan earned $50.23. About how much more did Rachel earn?

Answers

Answer:

$4.56

Step-by-step explanation:

It would be $4.56
You would do 54.79-50.23

What exactly is this? 2+6x = 1-x

Answers

X=-1/7 i hope this helped answer ur questions

0.43 as a fraction ?

Answers

Answer:

43/100

Step-by-step explanation:

What is the answer to 6.7 x 10^5=

Answers

Answer:

670000

Step-by-step explanation:

6.7X10000

[tex]QUESTION:[/tex]

What is 6.7 x 10^5?

[tex]ANSWER:[/tex]

670,000

[tex]COMMENT /VERIFICATION:[/tex]

This is proper scientific notation because the coefficient is between 1 and 10.

Hope this helps! :)

[tex]ANSWERED:\\GraceRosalia[/tex]

guys…..am i hot?????

Answers

Nope because I said so

Answer:

just btw there is no pic lol

Step-by-step explanation:

19/24 nearest hundred

Answers

Answer:

0.79

Step-by-step explanation:

Answer:

if speaking in decimal terms, your answer would be  0.79/ 0.7916/ 0.79167

Step-by-step explanation:

Please help me with this!!

Answers

Answer:

15.6

Step-by-step explanation:

1 times 12 is 12 3/10 of 12 is 3.6 12+3.6=15.6

Answer:

$15.60

Step-by-step explanation:

multiply 1.3 (which is the same as 1 3/10) and 12

Rewrite as a whole number.
80/8

Answers

Answer:

10

Step-by-step explanation:

Jamie saw 12 ducks on the lake. When Jamie said that 1/2 of the ducks swam away, how many ducks was that?

a) 8
b) 4
c)6

Answers

6
12 divided my 2 is 6
or 6 + 6 is 12.
Hope this helps

(a) Write an equation to find x. Make sure you use an "=" sign in your answer​

Answers

Answer:

2x-  13 = 4x + 2

number 3.) solve for x

Answers

Answer: D) 9

x = 9........

Which choice is equivalent to the expression shown below?
-3(3y-2x) + 2(5x-4y)

Answers

Answer:

[tex] - 3(3y - 2x) + 2(5x - 4y) \\ - 9y + 6x + 10x - 8y \\ 16x - 17y[/tex]

I hope I helped you^_^

help pls
what is the slope intercept form of (4,0) and (0,5)

Answers

Answer: y = -5/4x+5

Hope this helps!!!

Hi, please what's -3 1/2 - 1 5/6

Answers

Answer:

-8/3

Step-by-step explanation:

Answer:

-31 / 2 - 15 /7

-31 /2

= 15.5

-15/7

-2 .14

so the answer was.

-8/3

find the slope of the line

Answers

Answer:

A. 3/4

Step-by-step explanation:

Find the 2 points, then count how many boxes it goes up and over to the second point.

Solve for x !!!!!!!!

Answers

Answer:

x = 9

Step-by-step explanation:

to find the value of x

11x - 11 = 110 (alternate exterior angles are equal)

Substitute

11x = 110 -11

11x = 99

x = 99 ÷ 11

x = 9

Answer:

x=11

Step-by-step explanation:

Because 110= 11x-11, you can use this equation to solve.

First, add 11 to both sides:

121=11x

Then divide by 11:

11=x ------> x=11

Hope this helps!

Find the value of each expression. Then write an expression that has the same value, using addition 7 – (-3) 7 – 3 59 – (-1) -17 – (-6) of related numbers.

Answers

Answer:

7-(-3)=10

7-3=4

59-(-1)=60

-17-(-6)=(-11)

Step-by-step explanation:

In the photo !

The Hulk just flew into the Boston airport to visit some family, but due to car problems, they are
unable to pick him up. He only has $20 on him. He needs to call a cab that costs $1.75 initially and
$.65 per mile. How far will he be able to go? If his family lives 25 miles away, will the cab be able to
get him to his family?

Answers

Answer:

Yes, he will be able to afford 25 miles

Step-by-step explanation:

20.00 - 1.75 = 18.25

He will have $18.25 after the initial payment.

18.25 / 0.65 = 28~

He will be able to go 28 miles with the 18 dollars he has left.

Draw a picture and write an equation to help you solve the following problems

Answers

Answer with Step-by-step explanation:

7x+x=90 [Being complementary angles]

8x=90

x=90/8

x=11.25

x-38+x=180 [Being supplementary angles]

2x=218

x=109

Approximately how much greater, in grams is 191520 than 146640

Answers

191520 grams is greater than 146640 grams by 44,880 grams

How do you solve these two problems please explain step by step

Answers

Answer:

1) [tex]x=15, y=41[/tex]

2) [tex]x=6, y=24[/tex]

Step-by-step explanation:

1)

The two triangles are similar by AA similarity.

That means [tex]5x-5=4x+10[/tex].

We can add [tex]5[/tex] to both sides to get [tex]5x=4x+15[/tex].

We can then subtract [tex]4x[/tex] from both sides to get [tex]x=15[/tex].

We know that the [tex](5x-5)+(6y-4)=180[/tex]  because they both lie on a straight line.

We can plug in for [tex]x[/tex] to get [tex](5(15)-5)+(6y-4)=75-5+6y-4=6y-66=180[/tex].

We can divide both sides of the equation by [tex]6[/tex] to get [tex]y-11=30[/tex].

We then add [tex]11[/tex] to both sides to get [tex]y=41[/tex].

So, [tex]\boxed{x=15, y=41}[/tex] and we're done!

2)

Because the two bases of a trapezoid are parallel, meaning adjacent top and bottom angles sum to [tex]180^{\circ}[/tex], we have that [tex]90+3y+18=180[/tex].

We can subtract a [tex]90[/tex] and an [tex]18[/tex] from both sides to get [tex]3y=72[/tex].

We then divide both sides of the equation by [tex]3[/tex] to get [tex]y=24[/tex].

We do the same thing for [tex]x[/tex]. On the other side of the trapezoid, we have that [tex]15x+30+10x=180[/tex].

We combine like terms on the left side to get [tex]25x+30=180[/tex].

We subtract a [tex]30[/tex] from both sides to get [tex]25x=150[/tex].

We divide both sides of the equation to get [tex]x=6[/tex].

So, [tex]\boxed{x=6, y=24}[/tex] and we're done!

he table shows ordered pairs of the function y= 8-2x What is the value of y when x=8 ?

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 1, 1, 4, 8, 10. The second column is labeled y with entries 14, 10, 6, 0, question mark, negative 12.

–20
–8
8

Answers

Step-by-step explanation:

Reorder

8

and

2

x

.

y

=

2

x

+

8

sorry if wrong

please help im begging you, brainliest to correct answer!!!

(zoomed in equation on slide 2)

Answers

Step A is given
Step b is multiplication property
Step c is distributive property
Step d is substitution/ write and equivalent expression
Step e is addition property
Step f is division

More coins for youuu + follow for brainliest :)​

Answers

Answer:

10 + 78.567 = 88.567

Step-by-step explanation: thank you

-7x+3y=2 (find the ordered pair)

A. (1,3)
B: (-2,-4)
C. Both
D. Neither

Answers

Answer:

C. Both

Step-by-step explanation:

-7(-2) + 3(-4) = 2

14 + (-12) = 2

14 - 12 = 2

2 = 2

-7(1) + 3(3) = 2

-7 + 9 = 2

2 = 2

Both
B
Evidence:
If you plug in the order pair values they equal 2
Step 1:-7(-2)+3(-4)=2
Step 2:14-12=2
Step 3: 2=2

A chess club 20 with members is electing a new president. Lashonda received 8 votes. What percentage of the club members voted for Lashonda?

Answers

Answer:

Lashonda is not popular. She only received 40% of the votes.

Step-by-step explanation:

8/20 can be simplified to 2/5. If 1/5 is equal to 20%. Then 2 times 20% is 40%.

A collection of 40 dimes and nickels
is worth $2.90. How many nickels are
there? (Hint: In your equation, use
290¢ instead of $2.90.)

Answers

9514 1404 393

Answer:

22 nickels18 dimes

Step-by-step explanation:

Let d represent the number of dimes (the higher-value coin). Then the number of nickels is 40-d, and the total value in cents is ...

  5(40 -d) +10(d) = 290

  200 +5d = 290

  5d = 90

  d = 18

  40 -d = 22

There are 22 nickels (and 18 dimes).

_____

Additional comment

If you write the equation in terms of the number of nickels (n), you end up with the equation -5n = -110. The formulation used above avoids negative numbers, which can be confusing for some people.

How do i simplify this question?

Answers

16a5 b7
you just needed to multiply the numbers
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