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valentinak56 [21]
3 years ago
9

Whoever answers this will get 50 point! How do I find the MEAN, give the process, of the data set? City A: {3, 4, 6, 4, 3, 1, 4}

City B: {6, 7, 2, 4, 5, 5, 3}
Mathematics
1 answer:
Flauer [41]3 years ago
5 0

Answer:

Mean of City A is 3.6. Mean of City B is 4.6.

Step-by-step explanation:

To find the mean of a data set you add all the numbers in the data set and then divide your answer by how many numbers are in the data set.

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A study investigating the relationship between age and annual medical expenses randomly samples 400 individuals in a city. It is
ICE Princess25 [194]

Answer:

The probability is 0.789

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 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.

In this problem, we have that:

\sigma = 16, n = 400, s = \frac{16}{\sqrt{400}} = 0.8

Find the probability that the mean age of the individuals sampled is within one year of the mean age for all individuals in the city.​

Using \mu = 30, this is the pvalue of Z when X = 31 subtracted by the pvalue of Z when X = 29. So

X = 31

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

By the Central Limit Theorem

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

Z = \frac{31 - 30}{0.8}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

X = 29

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

Z = \frac{29 - 30}{0.8}

Z = -1.25

Z = -1.25 has a pvalue of 0.1056

0.8944 - 0.1056 = 0.7888

Rounded to three decimal places, 0.789

The probability is 0.789

4 0
3 years ago
Read 2 more answers
Determine if<br> g(s) = 4s^2/3 <br> is even, odd, or neither.
madam [21]
\star \ g(s) =  \dfrac{4s^2}{3} 

\star \ g(s) = 4* \dfrac{s^2}{3} 

\star \  \dfrac{4s^2}{3} 

\star = Odd
3 0
3 years ago
sydney planted 5/9 of her fall flowers.she had 63 unplanted flowers to start.how many flowers does she have left to plant.?how m
PilotLPTM [1.2K]
35. 

5/9= 0.555555556

0.55555556*63=35

2/3= 0.6666666667

0.666666667*63= 42

63-35=28

42-28=14
She has 35 unplanted flowers and must plant 14 more in order to have filled 2/3 of her flower bed. 




8 0
3 years ago
You need to fill a cylindrical glass with water. the glass is 6 inches tall and 2
Maurinko [17]
Answer:
volume = pi x r^2 ×h
where r is radius and h is height.
h= 6 in
r= 1
V=(22/7)×1^2 ×6
V=18.857in^3
Step-by-step explanation: Since the glass cup is cylindrical in shape, we use the formula for find volume of a cylinder iff the glass cup is to be filled full.
The volume of water will be equal to the volume of the cup. Across the widest point means diameter, hence half diameter gives radius.

4 0
2 years ago
A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environ
MA_775_DIABLO [31]
A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environment than traditionalbulbs. Is there an incentive for this study to be biased? Why or why not?

<span>Yes, because the LED bulb manufacturer may benefit from the survey results.
</span>
If the light bulb distributor will decide get more stock of LED bulb due to the study given by the LED company, then, the LED company will benefit from it.
3 0
3 years ago
Read 2 more answers
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