A beverage distributor has a facility that bottles beer. Beer bottles are supposed to be filled to 12 oz but there are slight variations. As part of quality control, they randomly sample bottles of beer and measure how many ounces they contain. In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89. Quantitative Question 2a If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore

Answers

Answer 1

Answer:

Its associated z-score is -1.16.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89.

This means that [tex]\mu = 12.01, \sigma = 0.89[/tex].

If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore

This is Z when X = 10.98. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10.98 - 12.01}{0.89}[/tex]

[tex]Z = -1.16[/tex]

Its associated z-score is -1.16.


Related Questions

The product of two numbers is 42.63. If one number is 21. What is the other number​

Answers

Answer:

21.63 is the other number

Step-by-step explanation:

21 + 21.63 equals 42.63

Answer:

Hi dear. I'm helping you to solve the question and in return you help me with my question.

Step-by-step explanation:

Question : The product of two numbers is 42.63. If one number is 21. What is the other number?

Solution :-

Product of two numbers = 42.63

One of the number = 21

Therefore , the other number = 42.63 ÷ 21 = 2.03

Hope my solution helps you and don't forget to help me with maths questions in return...

Which of the following is equivalent to In 4x+5inx-in2xy

Answers

I’m not seeing nothing

Compare the two sets of data. Who gets more sleep? Why?
Jason, because he gets higher median hours of sleep
Jason, because he has less variability in sleep hours
Mitch, because he gets higher median hours of sleep
Mitch, because his maximum hours of sleep were greater than Jason’s maximum

Answers

Answer:

C. Mitch, because he gets higher median hours of sleep

Step-by-step explanation:

The answer is (C)

Have a nice day

it took mr phillips 1.2 hours to run 13.2 miles

Answers

Answer:

11 mph

Step-by-step explanation:

13.2 miles in 1.2 hours

13.2miles / 1.2 hrs

13.2/1.2=11

Answer: 11 mph

f(x) = X/x-1 and g(x) = 1+1/x find (g. f) (x) and (f. G) (x)​

Answers

Answer:

Given f(x)=(1−x)21 and g(x)=ln(x)

gof(x)

=g(f(x))

=ln(1−x)1/2

=21ln(1−x)

∴ For the composite function to be defined 1−x>0

x<1

∴ Domain is (−∞,1)

Suppose your friends have the following ice cream flavor preferences: 70% of your friends like chocolate (C). The remaining do not like chocolate. 40% of your friends like sprinkles (S) topping. The remaining do not like sprinkles. 25% of your friends who like Chocolate (C) also like sprinkles (S). Of the friends who like sprinkles, what proportion of this group likes chocolate

Answers

Answer:

The proportion of this group that likes chocolate is 0.625.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Likes sprinkles

Event B: Likes chocolate

25% of your friends who like Chocolate (C) also like sprinkles (S).

This means that [tex]P(A \cap B) = 0.25[/tex]

40% of your friends like sprinkles (S) topping.

This means that [tex]P(A) = 0.4[/tex]

Of the friends who like sprinkles, what proportion of this group likes chocolate

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.25}{0.4} = 0.625[/tex]

The proportion of this group that likes chocolate is 0.625.

50 PTS
Please Make sure its easy to understand

Answers

Answer:

1) -95.

2) 15.

3) The conference center is on floor 5.

Step-by-step explanation:

1) Evaluating gives [tex]-52-30-13=-(52+30+13)=-(95)=-95.[/tex]

2) Substituting gives [tex]x+27=(-12)+27=15.[/tex]

3) After going 4 floors down, we are on level -4. After going 9 floors up to the desired room, we are on level -4+9=5. So the conference center is on floor 5.

Answer:

1. -95

2. 15

3. 5th Floor (-4 + 9)

Step-by-step explanation:

which is greatest and which is the least 7/12 5/8 3/4​

Answers

Answer:

The most is 3/4 and the least is 7/12

Step-by-step explanation:

Becasue the demonitaor have a facotr of 24 so if we convert them to ?/24 we can get our answer by doing this 7/12 -> 14/24, 5/8 --> 15/24, 3/4 --> 18/24

What rule can you come up with if you have to multiply to get a positive number and add to get a negative number?

Answers

Answer:

Two signs

When adding positive numbers, count to the right.

When adding negative numbers, count to the left.

When subtracting positive numbers, count to the left.

When subtracting negative numbers, count to the right.

Step-by-step explanation:

18.5−1.73 what is this??

Answers

The answer for this is 16.77

On a roulette wheel, half of the slots numbered 1 through 36 are red and half are black. Two slots numbered 0 and 00, are green. What are the odds against a ball landing in a red slot on any spin of the wheel? I'm also having a hard time on this please help me!!!! :(

Answers

Answer:

Two slots, numbered 0 and 00, are green.  

What are the odds against a red slot's coming up on any spin of the wheel?

Step-by-step explanation:

Jerry’s teacher wants him to draw a triangle. He starts by drawing a line 15 cm long and two angles 35º and 65º. What will the third angle measure?

Answers

Answer:

the total must be 180

40 + 70 + X = 180

the third one is = D.70

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

angles in a triangle add up to 180 degrees

35+65=100

180-100=80 degrees

what is the symbol of an inverse function​

Answers

Answer:

f(-1

Step-by-step explanation:

The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse".

Find the sum
(3/8-1/6m+5t) + (7/10m+9t+1/4)

Answers

Firstly, put the same families in the same category so 3/8+1/4=5/8(find the common denominators for the fractions) then you would put 1/6m-7/10m=8/15m 5t+9t=14t and the answers will be 5/8+8/15m+14t
I hope this helps if it is right!

Answer:

5/8 +8/15m+ 14t

Step-by-step explanation:

Combine your like terms, and you will get this.

ASAP PLS MARKING BRAINLIEST PLSSSSS

Answers

I typed this into demos and got that the lines intersected at (-2,2)


y = 8x - 6
2x - 4y = 24

Answers

9514 1404 393

Answer:

  (x, y) = (0, -6)

Step-by-step explanation:

Substitute for y in the second equation:

  2x -4(8x -6) = 24

  2x -32x +24 = 24

  -30x = 0

  x = 0

  y = 8·0 -6 = -6

The solution is (x, y) = (0, -6).

What is the y intercept of the line?

4


-1


3


-2

Answers

Answer:-2 because the y intercept is when the x axis is zero

Step-by-step explanation:

Does the equation represent a function? * (WILL GIVE BRAINLIEST IF RIGHT)

y = x^2 + 36​

Answers

Yes this is a function because for any input value (x) you will get a unique output value (y).  

can someone help asap!

Answers

I’m sure I won’t be able to help but try using photo math or GeoGebra it’s like a calculator

ANSWERS:

1) ∛216²=36

2) √81= 9

3) √4∧5=32

4)1.55

5)25

6)X

Find the midpoint M of the line segment joining the points P=(4,-7) and Q=(-6,-3)

Answers

Answer:

midpoints (-1, -5)

Step-by-step explanation:

midpoints

[tex] ( \frac{4 + ( - 6)}{2} \: \frac{ - 7 + ( - 3)}{2} )[/tex]

[tex]( \frac{4 - 6}{2} \: \frac{ - 7 - 3}{2} )[/tex]

[tex]( \frac{ - 2}{2} \: \frac{ - 10}{2} )[/tex]

[tex]( - 1 \: - 5)[/tex]

The table represents an exponential function.
What is the multiplicative rate of change of the function?
X
1
2.
у
2
2
5
3
2
25
2
2
5
125

Answers

Answer:

A. ⅕

Step-by-step explanation:

[tex] \frac{2}{5} [/tex] ÷ 2 = [tex] \frac{2}{5} * \frac{1}{2} = \frac{1}{5} [/tex]

[tex] \frac{2}{25} [/tex] ÷ 2/5 = [tex] \frac{2}{25} * \frac{5}{2} = \frac{1}{5} [/tex]

[tex] \frac{2}{125} [/tex] ÷ 2/25 = [tex] \frac{2}{125} * \frac{25}{2} = \frac{1}{5} [/tex]

Therefore, the multiplicative rate of change of the function would be ⅕

−6y=4,3x-18y=43x−18y=4 has no solution. Change one constant or coefficient to make a new system with an infinite number of solutions.

Answers

Answer: the anwer is =46.76

Step-by-step explanation:

your answer should be 46.76

How do I turn 42-5=37 into 42=37+5?

Answers

Answer:

You move the -5 to the other side.

Answer:

you move the -5 to the other side equation

Which of the hhh-values satisfy the following inequality?
6\geq\dfrac h26≥
2
h

6, is greater than or equal to, start fraction, h, divided by, 2, end fraction
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
h = 12h=12h, equals, 12

(Choice B)
B
h = 14h=14h, equals, 14

(Choice C)
C
h =16h=16

Answers

Answer:

H=12

Step-by-step explanation:

Khan said so

These four numbers are plotted on a number line:
2 5 3 1
3352
Which is the correct ordering on the number line, from left to right?

Answers

1,2,3,5. 2,3,3,5 if both numbers are from left to right

Answer:

yes

Step-by-step explanation:

Explain your answer !!

Have a great day

Will give brainlst

Answers

Answer:

Dang this looks hard

Step-by-step explanation:

Wish could help

On a number line, the directed line segment from Q to S has endpoints Q at -14 and S at 2. Point R partitions the
directed line segment from Q to Sin a 3:5 ratio.
Which expression correctly uses the formula [m/m+n](x2-x1)+x1 to find the location of point R?

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

Using m=3, n=5, x2=2, x1=-14, the only match is the first one.

The correct expression for the point on the line is [tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]

Midpoint of a line

The formula for expressing the midpoint of a line is expressed as:

[tex]M=\frac{m}{m+n} (x_2-x_1)+x_1[/tex]

Given the following parameters

m=3,

n=5,

x2=2,

x1=-14,

Substitute

[tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]

This given the correct expression for the point on the line

Learn more on midpoint here: https://brainly.com/question/18315903

#SPJ6

F. Jennifer earns $55,000 a year. About 18% is taken out for taxes. How
much is taken out for taxes?

Answers

Answer:

9900

Its taxes

dndjndnd

Answer:

$9,900

Step-by-step explanation:

18% is equal to .18

.18 times $55,000 = $9,900

1. Circle the figure you would use to make the Escher‐like tessellation given.

Answers

Answer:

b ? i have never seen anything like this though so please dont take my word

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

According to the National Institute for Occupational Safety and Health, job stress poses a major threat to the health of workers. A news report claims that 75% of restaurant employees feel that work stress has a negative impact on their personal lives. Managers of a large restaurant chain wonder whether this claim is valid for their employees. A random sample of 100 employees finds that 68 answer “Yes” when asked, “Does work stress have a negative impact on your personal life?”

1. Do these data provide convincing evidence at the α = 0.10 significance level that the proportion of all employees in this chain who would say “Yes” differs from 0.75? 2. A 90% confidence interval for the restaurant worker data was also created and found to be (0.603272, 0.756728). Explain how the confidence interval is consistent with, but gives more information than, the test.

Answers

Hypothesis test on the proportion of employees, gives an evidence

based conclusion which is consistent with the confidence interval.

Response:

There is insufficient or no convincing statistical evidence to conclude that the proportion differs from 0.75The confidence interval indicates that the proportion of workers that feel that work stress has a negative impact on their lives is between 0.603272 and 0.756728, a proportion that includes 0.75, which is consistent with the test, and also provides the minimum and maximum expected proportion at 95% confidence level.

How can the test of the hypothesis be performed?

1. The percentage of workers that the news report claims work stress have a negative impact on their personal lives, p = 75%

Number of employees in the sample, n = 100

Number that answered yes = 68

The null hypothesis is, H₀: p = 0.75The alternative hypothesis is, Hₐ: p ≠ 0.75

The proportion of the employees that said yes, [tex]\hat p[/tex] = 68 ÷ 100 = 0.68

The z-test formula is; [tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]

q = 1 - p

Which gives;

[tex]z= \mathbf{\dfrac{0.68-0.75}{\sqrt{\dfrac{0.75 \times (1 - 0.75)}{100}}}} \approx -1.62[/tex]

The p-value ≈ 2 × p(Z < -1.62) = 2 × 0.0526 = 0.1052

The significance level, α = 0.10

Given that the p-value is larger than the significance level, we fail to

reject the null hypothesis, and conclude that as follows;

There is insufficient convincing statistical evidence that the proportion differs from 0.75.

2. The 90% confidence interval is (0.603272, 0.756728)

The confidence interval indicates that at 90% confidence level, the true

proportion of employees that feel that work stress has a negative

impact on their personal lives is between 0.603272 and 0.756728.

The report claim of 75% or 0.75 is within the confidence interval, which consistent with the hypothesis test

The information in the confidence interval also indicates that at 90% confidence level, the proportion of the employee that say yes is between (0.603272, 0.756728), thereby giving more information

Learn more about hypothesis testing here:

https://brainly.com/question/23082833

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