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notka56 [123]
3 years ago
5

HELP 13 & 14 HHHEEELLLPPP

Mathematics
1 answer:
Lerok [7]3 years ago
8 0
32/36 for number 13
3/7 = 9 to 21 for number 14
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Jack is a college athlete who has been weighing himself weekly on the same scale in the athletic center for the past few years.
Radda [10]

Answer:

a) Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=\pm 1.64

b) \bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})

And the standard error is given by:

SE = \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{9}}=1

c) \bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And the margin of error is:

ME= z_{\alpha/2} \frac{\sigma}{\sqrt{n}} = 1.64

And then the confidence interval is be given by:

200-1.64 = 198.36

200+1.64 = 201.64

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X= 200 represent the sample mean

\mu population mean (variable of interest)

\sigma=3 represent the population standard deviation

n=9 represent the sample size  

Part a

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=\pm 1.64

Part b

The distribution for the sample mean is given by:

\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})

And the standard error is given by:

SE = \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{9}}=1

Part c

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And the margin of error is:

ME= z_{\alpha/2} \frac{\sigma}{\sqrt{n}} = 1.64

And then the confidence interval is be given by:

200-1.64 = 198.36

200+1.64 = 201.64

8 0
3 years ago
F(-4) if f(x) =x to the power of 2 +8
Rufina [12.5K]
10 :) I had this, EZ now :)
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3 years ago
Solve equation <br><br> r/3-4=11<br><br> r = 45 <br><br> r = 35<br><br> r = 33<br><br> r = 28
Molodets [167]

Answer:

r=-11

Step-by-step explanation:

7 0
3 years ago
For which distributions is the Median the best measure of center
hammer [34]

Answer: The first graph demonstrates the best measure of center!

P.s if you feel this answer is satisfactory please mark it brainiest. I need it for my rank.

8 0
3 years ago
Please help I'm not sure what to do first.​
nadezda [96]

Answer:

17

Step-by-step explanation:

it has to be under 90 degrees

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