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Levart [38]
3 years ago
6

The width of the box is ⅔

Mathematics
1 answer:
Sati [7]3 years ago
6 0

Answer:

the truth is that I do not understand your way of expressing yourself but you can talk the truth is that I don't understand your way of expressing yourself but you can speak the language with me in Spanish ok

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The amount people pay for cable service varies quite a bit but the mean monthly fee is $142 and the standard deviation is $29. t
zhuklara [117]

Answer:

a) By the Central Limit Theorem, the mean is $142 and the standard deviation is $0.7488.

b) By the Central Limit Theorem, approximately normal.

c) 0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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 distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean monthly fee is $142 and the standard deviation is $29.

This means that \mu = 142, \sigma = 29

Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.

Sample of 1500(larger than 30).

By the Central Limit Theorem

The mean is $142

The standard deviation is s = \frac{29}{\sqrt{1500}} = 0.7488

Part b: what is the shape of the sampling distribution of x hat justify your answer.

By the Central Limit Theorem, approximately normal.

Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143?

This is 1 subtracted by the pvalue of Z when X = 143. So

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

By the Central Limit Theorem

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

Z = \frac{143 - 142}{0.7488}

Z = 1.34

Z = 1.34 has a pvalue of 0.9099

1 - 0.9099 = 0.0901

0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

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3 years ago
A weather forecaster says the temperature will be about -5C “give or take” 10 degrees. What is the greatest possible temperature
bagirrra123 [75]

Minimum: -15C

Max: 5C

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Eliza got a box of chocolates for Valentine's
zavuch27 [327]

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Step-by-step explanation:

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Can someone please check this?
IceJOKER [234]

Answer:

Your answers are correct.

Step-by-step explanation:

The equality will be true for odd multiples of π/4, so the last two choices will not show the expression to be <em>not</em> an identity.

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Triangle ABC in quadrant one with side AB of length 2 units, triangle A prime B prime C prime in quadrant four
Anestetic [448]

Answer:

B because they are basically the same AB = 2, there was no change, just a relfection, so A'B' = 2 as well Hope this helped

Step-by-step explanation:

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