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Veseljchak [2.6K]
3 years ago
15

A population has a mean muequals160 and a standard deviation sigmaequals20. Find the mean and standard deviation of the sampling

distribution of sample means with sample size nequals58
Mathematics
1 answer:
hoa [83]3 years ago
6 0

Answer:

Mean 160

Standard deviation 2.63

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 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 = 160, \sigma = 20

Find the mean and standard deviation of the sampling distribution of sample means with sample size n = 58.

Mean 160

Standard deviation s = \frac{20}{\sqrt{58}} = 2.63

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goldenfox [79]

Answer:

Option B.

Step-by-step explanation:

The given inequalities are

y

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Check the above inequalities for each given ordered pair.

For (-3,5),

(5) (False)

For (-2,2),

(2) (True)

y>x\Rightarrow 2>-2 (True)

So, both inequalities are true for (-2,2). Option B is correct.

For (-1,-3),

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For (0,-1),

y>x\Rightarrow -1>0 (False)

Both inequalities are not true for (-3,5), (-1,-3) and (0,-1).

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3 0
2 years ago
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If tatianna works 3hrs a day on school days and make $123.75 a week what is her hourly rate?​
madreJ [45]

<u><em>Answer:</em></u>

Her hourly rate is $8.25

<u><em>Explanation:</em></u>

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<u>We know that:</u>

There are 5 school days in a week

<u>We are given that:</u>

She works for 3 hours a day each of those days

<u>Therefore:</u>

Total number of hours worked = hours worked daily * number of days

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<u>The equation used to calculate Tatianna's earnings is:</u>

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<u>Now, we substitute with the givens to get the hourly rate as follows:</u>

Amount she makes in a week = Total number of hours worked * hourly rate

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3 years ago
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balandron [24]

Step-by-step explanation:

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remember, integer numbers are fractions too. like here

-6 = -6/1

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so, how can we bring -6/1 to .../8 ?

by multiplying 1 by 8.

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-6/8

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to keep the original value of the fraction we have to do the same multiplication also with the numerator (top part).

so, we actually do

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1 year ago
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Step-by-step explanation:

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matrenka [14]
You have this....

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So the answer is...

D and F.




4 0
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