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Brrunno [24]
3 years ago
9

Ayudenme por favor nesecito ayuda con estas respuestas

Mathematics
1 answer:
malfutka [58]3 years ago
8 0

Answer:

ill help

Step-by-step explanation:

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The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes and
masya89 [10]

Answer:

a) There is a 100% probability that the (sample) average time waiting in line for these customers is less than 10 minutes.

b) There is a 100% probability that the (sample) average time waiting in line for these customers is between 5 and 10 minutes.

c) There is a 0% probability that the (sample) average time waiting in line for these customers is less than 6 minutes.

d) Because there are less observations, it would be less accurate.

e) Because there are moreobservations, it would be more accurate.

Step-by-step explanation:

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

Problems of normally distributed samples can be 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.

In this problem, we have that:

The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. This means that \mu = 8.2, \sigma = 1.5.

Suppose that a random sample of n = 49 customers is observed

This means that s = \frac{1.5}{\sqrt{49}} = 0.21.

(a) Less than 10 minutes.

This probability is the pvalue of Z when X = 10. So:

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

Z = \frac{10 - 8.2}{0.21}

Z = 8.57

Z = 8.57 has a pvalue of 1.

This means that there is a 100% probability that the (sample) average time waiting in line for these customers is less than 10 minutes.

(b) Between 5 and 10 minutes.

This probability is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 5.

From a), we have that the zscore of X = 10 has a pvalue of 1.

For X = 5.

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

Z = \frac{5 - 8.2}{0.21}

Z = -15.24

Z = -15.24 has a pvalue of 0.

Subtracting, we have that there is a 100% probability that the (sample) average time waiting in line for these customers is between 5 and 10 minutes.

(c) Less than 6 minutes.

This probability is the pvalue of Z when X = 6. So:

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

Z = \frac{6 - 8.2}{0.21}

Z = -10.48

Z = -10.48 has a pvalue of 0.

This means that there is a 0% probability that the (sample) average time waiting in line for these customers is less than 6 minutes.

(d) If you only had two observations instead of 49 observations, would you believe that your answers to parts (a), (b), and (c), are more accurate or less accurate? Why?

The less observations there are, the less acurrate our results are.

So, because there are less observations, it would be less accurate.

(e) If you had 1,000 observations instead of 49 observations, would you believe that your answers to parts (a), (b), and (c), are more accurate or less accurate? Why?

The more observations there are, the more acurrate our results are.

So, because there are moreobservations, it would be more accurate.

8 0
3 years ago
Everett made 3/5 of the baskets he shot suppose he shot 60 baskets how many did you make
lions [1.4K]
He made 36 baskets I think
3 0
3 years ago
Read 2 more answers
Write three different fractions that match the shaded part of the drawing.
elena-14-01-66 [18.8K]
8/12 4/8 4/12 is the answer for the shaded part
8 0
3 years ago
Read 2 more answers
Suppose f(x)=x^2-2 find the graph of f(1/2x)
Scorpion4ik [409]

Answer:

graph g(x)=1/4 x^2 - 2

Step-by-step explanation:

You are to replace x with (1/2x) in the expression x^2-2

So you have (1/2x)^2-2

1/4 x^2-2

Graph some points for g(x)=1/4 x^2-2

The vertex is (0,-2) and the parabola is open up.

I would graph 2 more points besides the vertex

x   |  g(x)                     ordered pairs to graph

-----------                         (-1,-1.75) and (0,-2) and (1,-1.75)

-1        -1.75

0         -2

1         -1.75

3 0
2 years ago
Read 2 more answers
The ratio of the Areas of the bases of these cones is 9 to 4.
Lapatulllka [165]

Answer:

Step-by-step explanation:

This is something you learn in Geometry.  Gotta love Geometry and all of its hundreds of rules for triangles and circles and all that good stuff!!

The rule for similar figures is

ratio of perimeter (one-to-one)-->area (square the one-to-one)-->volume (cube the one-to-one).

We are given area.  You CANNOT CUBE THE AREA MEASURES TO GET TO THE VOLUME!! You have to find the one-to-one first and then go forward from there.

If the area is the one-to-one squared, then

\frac{\sqrt{9} }{\sqrt{4} }=\frac{3}{2}

The one-to-one is 3:2.  To get to the volume now, cube those one-to-one values:

\frac{3^3}{2^3}=\frac{27}{8}

7 0
3 years ago
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