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zlopas [31]
3 years ago
10

Consider a normally distributed data set with a mean of 154 and a standard deviation of 9.8. If one of the observed values is 17

6, what is the z score?
A.
+3.36
B.
-2.24
C.
+2.24
D.
-22.00
E.
+22.00
Mathematics
1 answer:
inna [77]3 years ago
6 0

Answer:

The answer is +2.24

Step-by-step explanation:

(176-154)/9.8

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The data given to the right includes data from ​candies, and of them are red. The company that makes the candy claims that ​% of
Dafna1 [17]

Using the z-distribution, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

Researching this problem on the internet, 8 out of 39 candies are red, hence the sample size and the estimate are given by:

n = 39, \pi = \frac{8}{39} = 0.2051

Hence the bounds of the interval are:

  • \pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 - 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.0784
  • \pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2051 + 1.96\sqrt{\frac{0.2051(0.7949)}{39}} = 0.3318

As a percentage, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

7 0
2 years ago
(Quick please ) !!!!!!!!!!!!!!!! Help me!!!!! find the surface area of the rectangular prism!!!!!! thank you
Aleks [24]
You can do this !

The rectangular prism has

                   -- length = 10 cm
                   -- width  =  7 cm
                   -- height =  3 cm.

-- The area of the top and bottom is  (length x width)  each.

-- The area of the left and right sides is  (length x height)  each.

-- The area of the front and back is  (width x height)  each.

There.  I just laid out all the schmartz you need to answer this question.
The rest is all simple arithmetic, and you're perfectly capable of turning
the crank and getting the answer.  You don't need anybody else to do
that part for you.

Don't forget your units.  The area of each flat face is (cm) times (cm),
and that product will be some cm² , for area.
3 0
3 years ago
A TV has an original price of $549. Enter the new price after the given percent of
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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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