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olchik [2.2K]
3 years ago
13

Please help please

Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0
I think its D I’m sorry if I’m incorrect
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10.
Kay [80]

Answer:

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

4.535 \leq \sigma^2 \leq 7.602

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

2.2 \leq \sigma \leq 2.8

And the best option would be:

A.  2.2 < σ < 2.8

Step-by-step explanation:

Information provided

\bar X=32.1 represent the sample mean

\mu population mean  

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 are given by:

df=n-1=83-1=82

The Confidence is given by 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, the critical values for this case are:

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

\chi^2_{1- \alpha/2}=104.139

And replacing into the formula for the interval we got:

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

4.535 \leq \sigma^2 \leq 7.602

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

2.2 \leq \sigma \leq 2.8

And the best option would be:

A.  2.2 < σ < 2.8

3 0
3 years ago
She estimates 3/4 cups of snack mix , how many snack mix she needs in order to make 200 servings
Elenna [48]
<span>She estimates 3/4 cups of snack mix for each serving.
how many snack mix she needs in order to make 200 servings ?
We have 3/4 x 200= 3*50= 150 cups of snacks
Have fun
</span>
5 0
4 years ago
Find the area under the standard normal distribution curve between z = 0 and z = 2.16.
Vladimir79 [104]

do you have a z table chart to look at?

 find Z= 0 should show that z=0 = 0.500

and z=2.16 = 0.9846

 subtract them

0.9846-0.500 = 0.4846 is the area

7 0
3 years ago
(x^2)(x^7)(x^-3) eliminate negative exponent
Delicious77 [7]

Answer:

x^6

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
use the Pythagorean theorem to find the measure of the hypotenuse of right triangle of the measures of the legs are 30 meters an
DochEvi [55]
A² + b² = c²
30² + 72² = c²
<u />900 + 5,184 = c²
6084 = c²
(Square root both sides)
c = 78 m
<u />
6 0
3 years ago
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