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nika2105 [10]
3 years ago
12

HELP HELP PLZ ABOUT TO FAIL ASAP

Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0
What are the choices?
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A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa
Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

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

Z = \frac{X - \mu}{\sigma}

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributied random variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 220, \sigma = 13, n = 35, s = \frac{13}{\sqrt{35}} = 2.1974

Find the interval containing the middle-most 48% of sample means:

50 - 48/2 = 26th percentile to 50 + 48/2 = 74th percentile. So

74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

0.643 = \frac{X - 220}{2.1974}

X - 220 = 0.643*2.1974

X = 221.41

26th percentile

Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

Z = \frac{X - \mu}{s}

-0.643 = \frac{X - 220}{2.1974}

X - 220 = -0.643*2.1974

X = 218.59

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

5 0
3 years ago
A surgical procedure requires choosing among four alternative methodologies. The first can result in five possible outcomes, the
Illusion [34]

Answer:

15 possible outcomes

Step-by-step explanation:

Since each one of these methodologies are not related to one another and they do not need to be chosen in any order or consecutively then the possible outcomes would only need to be added all together to calculate the total possible outcomes. Since each outcome is independent. Therefore,

m1 = 5 outcomes

m2 = 2 outcomes

m3 = 4 outcomes

m4 = 4 outcomes

5 + 2 + 4 + 4 = 15

we can see that there are a total of 15 possible outcomes

4 0
2 years ago
The sum of the measures of the interior angles of a convex pentagon
ipn [44]

Answer:

for any pentagon the interior angles add up to n-2 times 180 degrees.

n-2

180(n)

7 0
3 years ago
Look at pic will mark brainilest
densk [106]

Answer:The first one 18in.2

Step-by-step explanation:

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2 years ago
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Select all of the proportional relationships
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A,D can I get my Brainly
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