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3 years ago

Work out the circumference of this circle.

Mathematics

1 answer:

worty [1.4K]3 years ago

6 0

<h3>given:</h3>

diameter= 13 cm

the circumference of the given circle.

<h3>solution:</h3>

$c = \pi \: d$

$c = 3.142 \times \: d$

$c = 3.142 \times 13$

$c = 40.846 \: cm$

hence, the circumference of the given circle is 40.846 cm

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Data given and notation

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$s=8.4$ represent the sample standard deviation

$n=75$ sample size

$\mu_o =20$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

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$p_v$ represent the p value for the test (variable of interest)

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We need to apply a left tailed test.

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Alternative hypothesis : $\mu < 20$

Compute the test statistic

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{18.81-20}{\frac{8.4}{\sqrt{75}}}=-1.227$