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saw5 [17]
3 years ago
13

I need help with this asap please

Mathematics
1 answer:
JulsSmile [24]3 years ago
8 0
480 minutes of talk time

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A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o
Ronch [10]

Answer:

2.002 \leq \sigma^2 \leq 11.365

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

s^2 represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

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

On this case we need to find the sample standard deviation with the following formula:

s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}
The sample variance given was [tex]s^2=3.45

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=9-1=8

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 values.  

The excel commands would be: "=CHISQ.INV(0.05,8)" "=CHISQ.INV(0.95,8)". so for this case the critical values are:

\chi^2_{\alpha/2}=15.507

\chi^2_{1- \alpha/2}=2.732

And replacing into the formula for the interval we got:

\frac{(9)(3.45)}{15.507} \leq \sigma \frac{(9)(3.45)}{2.732}

2.002 \leq \sigma^2 \leq 11.365

7 0
3 years ago
Plz help :{<br><br> no bad answers plz!!!
topjm [15]

It is not periodic. A periodic dataset is a dataset that repeats the same pattern over time.

7 0
2 years ago
Given the function f(x) = 2x, find the value of f−1(32). (1 point) f−1(32) = 0 f−1(32) = 1 f−1(32) = 5 f−1(32) = 16
lara31 [8.8K]

The value of the inverse function at x = 32 will be 16. Then the correct option is D.

<h3>What is a function?</h3>

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x) = 2x

Then the inverse function of the f(x) will be

2f⁻¹(x) = x

 f⁻¹(x) = x / 2

Then the value of the inverse function at x = 32 will be

f⁻¹(32) = 32 / 2

 f⁻¹(x) = 16

Then the correct option is D.

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

3 0
2 years ago
Hurryyy Plzzz!!
Minchanka [31]
Side angle side the answer hope that helps
6 0
2 years ago
Solve the equation 4x^2+36=0
raketka [301]

Answer:

it have no answer in real number(but it have in complex number if you know)

Step-by-step explanation:

4x^2+36=0

4x^2=-36

(if you know complex numbers see this: x^2=-9 then

x =  \frac{ + }{} 3i

)

7 0
2 years ago
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