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IgorC [24]
2 years ago
5

Which function represents the data

Mathematics
2 answers:
Nady [450]2 years ago
6 0
There is nothing attached
Nonamiya [84]2 years ago
6 0
Where is the photo????
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An economist uses the price of a gallon of milk as a measure of inflation. She finds that the average price is $3.82 per gallon
salantis [7]

Answer:

(a) The standard error of the mean in this experiment is $0.052.

(b) The probability that the sample mean is between $3.78 and $3.86 is 0.5587.

(c) The probability that the difference between the sample mean and the population mean is less than $0.01 is 0.5754.

(d) The likelihood that the sample mean is greater than $3.92 is 0.9726.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

\mu_{\bar x}=\mu

And the standard deviation of the distribution of sample mean is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

The information provided is:

n=40\\\mu=\$3.82\\\sigma=\$0.33

As <em>n</em> = 40 > 30, the distribution of sample mean is \bar X\sim N(3.82,\ 0.052^{2}).

(a)

The standard error is the standard deviation of the sampling distribution of sample mean.

Compute the standard deviation of the sampling distribution of sample mean as follows:

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

    =\frac{0.33}{\sqrt{40}}\\\\=0.052178\\\\\approx 0.052

Thus, the standard error of the mean in this experiment is $0.052.

(b)

Compute the probability that the sample mean is between $3.78 and $3.86 as follows:

P(3.78

                               =P(-0.77

Thus, the probability that the sample mean is between $3.78 and $3.86 is 0.5587.

(c)

If the difference between the sample mean and the population mean is less than $0.01 then:

\bar X-\mu_{\bar x}

Compute the value of P(\bar X as follows:

P(\bar X

                    =P(Z

Thus, the probability that the difference between the sample mean and the population mean is less than $0.01 is 0.5754.

(d)

Compute the probability that the sample mean is greater than $3.92 as follows:

P(\bar X>3.92)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{3.92-3.82}{0.052})

                    =P(Z

Thus, the likelihood that the sample mean is greater than $3.92 is 0.9726.

3 0
3 years ago
What is 10 less than X
Arada [10]
x-10
...........
5 0
3 years ago
Read 2 more answers
Which principle prevents a government from becoming too powerful?
tino4ka555 [31]

Comment: I think you got this in the wrong section but I’ll still answer it anyways.

Actual Answer: system of checks and balances

Step-by-step explanation: A system of checks and balances stops one branch of government from becoming too powerful.

Additional Note: I hope that this helps you and have a wonderful day!

7 0
3 years ago
PLEASE HELP ASAP WITH MATH QUESTION<br> WHAT IS (-image down below-) EQUAL TO?????
PolarNik [594]

Answer:

1364

Step-by-step explanation:

∑ means that to add values

So n goes from 1 to 5 and you have to add them from 1 to 5

∑n=1 to 5 4^n = 4^1 + 4^2 + 4^3 + 4^4 + 4^5

4^n means that 4 is n times if 4^3 its mean that 4 is 3 times

= 4 + 16 + 64 + 256 + 1024

= 1364 Answer


I hope you got the idea. Thanks

8 0
2 years ago
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What property is x-7=11
SOVA2 [1]

Answer:

Cummative

Step-by-step explanation:

5 0
2 years ago
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