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Serjik [45]
3 years ago
6

BRAINLIEST pls answer I really need help and this is a big grade

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

Answer:

I'll answer this question when you pay attention in class

Step-by-step explanation:

ok

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Which one of these is an linear function , stuck between the two ?
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Can anyone answer this
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Step-by-step explanation:

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How much grain can this container hold?
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4 0
3 years ago
The table showing the stock price changes for a sample of 12 companies on a day is contained in the Excel file below.
AfilCa [17]

Answer:

(a) The sample variance for the daily price change is 0.2501.

(b) The sample standard deviation for the daily price change is 0.5001.

(c) The 95% confidence interval estimates of the population variance is (0.1255, 0.7210).

Step-by-step explanation:

Let the random variable <em>X</em>  denote the stock price changes for a sample of 12 companies on a day.

The data provided is:

<em>X</em> = {0.82 , 1.44 , -0.07 , 0.41 , 0.21 , 1.33 , 0.97 , 0.30 , 0.14 , 0.12 , 0.42 , 0.15}

(a)

The formula to compute the sample variance for the daily price change is:

s^{2}=\frac{1}{n-1}\sum\limits^{12}_{i=1}{(X_{i}-\bar X)^{2}}

The sample mean is computed using the formula:

\bar X=\frac{1}{n}\sum\limits^{12}_{i=1}{X_{i}}

Consider the Excel output attached below.

In Excel the formula to compute the sample mean and sample variance are:

\bar X =AVERAGE(A2:A13)

s^{2} =VAR.S(A2:A13)

Thus, the sample variance for the daily price change is 0.2501.

(b)

The formula to compute the sample standard deviation for the daily price change is:

s=\sqrt{\frac{1}{n-1}\sum\limits^{12}_{i=1}{(X_{i}-\bar X)^{2}}}

Consider the Excel output attached below.

In Excel the formula to compute the sample standard deviation is:

s =STDEV.S(A2:A13)

Thus, the sample standard deviation for the daily price change is 0.5001.

(c)

The (1 - <em>α</em>)% confidence interval for population variance is:

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

Compute the critical value of Chi-square for <em>α</em> = 0.05 and (n - 1) = (12 - 1) = 11 degrees of freedom as follows:

\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.05/2,11}=21.920

\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{(1-0.05/2),11}=\chi^{2}_{0.975,11}=3.816

*Use a Chi-square table.

Compute the 95% confidence interval estimates of the population variance as follows:

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

     =[\frac{(12-1)\times 0.2501}{21.920 } \leq \sigma^{2}\leq \frac{(12-1)\times 0.2501}{3.816} ]

     =[0.125506\leq \sigma^{2}\leq 0.720938]\\\approx [0.1255, 0.7210]

Thus, the 95% confidence interval estimates of the population variance is (0.1255, 0.7210).

7 0
4 years ago
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