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zaharov [31]
3 years ago
10

The mean monthly car payment for 123 residents of the local apartment complex is $624. What is the best point estimate for the m

ean monthly car payment for all residents of the local apartment complex?
Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

The best point estimate for the mean monthly car payment for all residents of the local apartment complex is $624.

Step-by-step explanation:

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}}.

In this question:

We apply the inverse Central Limit Theorem.

The mean monthy car payment for 123 residents of the local apartment complex is $624.

So, for all residents of the local apartment complex, the best point estimate for the mean monthly car payment is $624.

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In the triangle XYZ the measure of angle YXZ is 50 degrees and the measure of angle XYZ is 75 degrees. What is the measure of an
lbvjy [14]
<h2>Answer: 55 degrees</h2>

Step-by-step explanation:

Every triangle has 3 sides and 3 interior angles whose measures sum to 180 degrees. For example, a triangle with angles \theta, \alpha and \beta:

\theta+\alpha+\beta=180\º

Following this rule, we will apply it to the angles XYZ, YXZ and the unknown XZY:

XYZ+YXZ+XZY=180\º

50\º+75\º+XZY=180\º

XZY=180\º-50\º-75\º

Finally:

XZY=55\º

8 0
3 years ago
Read 2 more answers
Three populations have proportions 0.1, 0.3, and 0.5. We select random samples of the size n from these populations. Only two of
IRINA_888 [86]

Answer:

(1) A Normal approximation to binomial can be applied for population 1, if <em>n</em> = 100.

(2) A Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50 and 40.

(3) A Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50, 40 and 20.

Step-by-step explanation:

Consider a random variable <em>X</em> following a Binomial distribution with parameters <em>n </em>and <em>p</em>.

If the sample selected is too large and the probability of success is close to 0.50 a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

  • np ≥ 10
  • n(1 - p) ≥ 10

The three populations has the following proportions:

p₁ = 0.10

p₂ = 0.30

p₃ = 0.50

(1)

Check the Normal approximation conditions for population 1, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.10=1

Thus, a Normal approximation to binomial can be applied for population 1, if <em>n</em> = 100.

(2)

Check the Normal approximation conditions for population 2, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.30=310\\\\n_{c}p_{1}=50\times 0.30=15>10\\\\n_{d}p_{1}=40\times 0.10=12>10\\\\n_{e}p_{1}=20\times 0.10=6

Thus, a Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50 and 40.

(3)

Check the Normal approximation conditions for population 3, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.50=510\\\\n_{c}p_{1}=50\times 0.50=25>10\\\\n_{d}p_{1}=40\times 0.50=20>10\\\\n_{e}p_{1}=20\times 0.10=10=10

Thus, a Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50, 40 and 20.

8 0
3 years ago
PLSSS HELP ME ON THIS
stiks02 [169]
1. True
2. False
3. True
When ordered for location 1, the values are 34,52,85,86,100 with the median is 85 because it is in the middle of the other values. True

The range of location 2 is from 19 to 65 base don data shown, False

The median for location 2 is (20,29) which is smaller than the 85 for location 1 so location 1 had more participants if based on the median measurement. True

3 0
4 years ago
I need help on this one please
saw5 [17]

Answer:

B

Step-by-step explanation:

When looking at the number line, we can see the distance between A and B is one unit

A |-2| + |-1| = 2+1 =3    That is not 1 unit

B 2-1  =1  that is  1 unit

C  -2 + -1 = -3  that is not 1 unit

D  |-1| - (-2) = 1 + 2 =3  that is not 1 unit

Even though it says all expressions,  there is only 1 that shows a distance of 1 unit

6 0
3 years ago
Cora uses a ratio of 18 cherries to 3 peaches when she makes a pie filling. Lena uses an equivalent ratio to Cora. If Lena uses
Lelechka [254]
Lena would have to use 54 cherries
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