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2 years ago

If SS= 162 from a sample of 15 data, find s^2

Mathematics

1 answer:

Genrish500 [490]2 years ago

8 0

Answer:

11.57

Step-by-step explanation:

We have a simple formula to solve this:

$s^2=\frac{SS}{n-1}$

where

SS is sum of squares

s^2 is the variance, and

n is the number of data points

We are given all the info to find out s^2. Hence,

$s^2=\frac{SS}{n-1}\\s^2=\frac{162}{15-1}\\s^2=\frac{162}{14}=11.57$

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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

marusya05 [52]

Answer:

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

$\hat p =\frac{955-812}{955}= 0.150$

$0.150 - 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.131$

$0.150 + 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.169$

And the 90% confidence interval would be given (0.131;0.169).

Step-by-step explanation:

We have the following info given:

$n= 955$ represent the sampel size slected

$x = 812$ number of students who read above the eighth grade level

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

$\hat p =\frac{955-812}{955}= 0.150$

The confidence interval for the proportion would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 90% confidence interval the significance is $\alpha=1-0.9=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution and we got.

$z_{\alpha/2}=1.64$

And replacing into the confidence interval formula we got:

$0.150 - 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.131$

$0.150 + 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.169$

And the 90% confidence interval would be given (0.131;0.169).

8 0

2 years ago

Consider the following function :y=1/(x+5)+2 How does the graph of this function compare with the graph of the parent function,

Paraphin [41]

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Answer:

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Step-by-step explanation:

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h is the horizontal shift and k is the vertical shift

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Dominik [7]

Answer:

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