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Nuetrik [128]
3 years ago
5

You have been given the task of finding out what proportion of students that enroll in a local university actually complete thei

r degree. you have access to first year enrolment records and you decide to randomly sample 114 of those records. you find that 88 of those sampled went on to complete their degree. a)calculate the proportion of sampled students that complete their degree. give your answer as a decimal to 3 decimal places.
Mathematics
1 answer:
expeople1 [14]3 years ago
3 0
The sample proportion p is found as follows:
p=\frac{88}{114}=0.772
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Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

s=16.6 represent the sample deviation

\bar X=12.8 represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

\alpha=1-0.99=0.01 represent the significance level.

2) Solution to the problem

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

\bar X \pm z_{\alpha/2} \frac{s}{\sqrt{n}}

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

12.8 - 2.58 \frac{16.6}{\sqrt{1003}}=11.448

12.8 + 2.58 \frac{16.6}{\sqrt{1003}} =14.152

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

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3 years ago
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andreyandreev [35.5K]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Green: 4 x 2 x 2 =16

Purple: 8 x 2 x 1 = 16

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3 years ago
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Answer: The answer to your question is 13.636. I hope this helps you :D

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he equation of a line is y=2/3 x + 5. What is an equation of the line that is perpendicular to the given line and that passes th
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