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r-ruslan [8.4K]
2 years ago
11

I need help with this

Mathematics
1 answer:
Nitella [24]2 years ago
6 0
I think tha answer is a
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83 random samples were selected from a normally distributed population and were found to have a mean of 32.1 and a standard devi
arlik [135]

Answer:

\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}

4.525 \leq \sigma^2 \leq 7.602

Now we just take square root on both sides of the interval and we got:

2.127 \leq \sigma \leq 2.757

Step-by-step explanation:

Information given

\bar X=32.1 represent the sample mean

\mu population mean (variable of interest)

s=2.4 represent the sample standard deviation

n=83 represent the sample size  

Confidence interval

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

The degrees of freedom given by:

df=n-1=8-1=7

The confidence level 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 values.  

The excel commands would be: "=CHISQ.INV(0.05,82)" "=CHISQ.INV(0.95,82)". so for this case the critical values are:

\chi^2_{\alpha/2}=104.139

\chi^2_{1- \alpha/2}=62.132

The confidence interval is given by:

\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}

4.525 \leq \sigma^2 \leq 7.602

Now we just take square root on both sides of the interval and we got:

2.127 \leq \sigma \leq 2.757

5 0
3 years ago
Decompose 1 to represent the picture. +<br> OO
ohaa [14]

Answer:

:0

Step-by-step explanation:

I do not understand English

4 0
3 years ago
Which of these expressions are equivalent to p/3?
aleksandrvk [35]
<h3>Answer: Choice B.  1/3p</h3>

This is assuming that p is not in the denominator. To make it more clear that p is not in the denominator, I recommend you write (1/3)p.

Taking 1/3 of a number is the same as dividing by 3.

Example:

27/3 = 9

27*(1/3) = 9

5 0
3 years ago
Read 2 more answers
True or False? The rule of 72 (or 69) depends on the amount of principal you are saving. *
grin007 [14]
I think answer is trueeee
3 0
3 years ago
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In a diamond problem solver what is 3.25 and 4 I need help ASAP
snow_lady [41]

Answer:12 I believe

Step-by-step explanation:

6 0
3 years ago
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