Suppose you have a sample of 33 women who exercise daily, and who have an average duration of labor of 16.9 hours and a sample variance of 20.3 hours. You want to test the hypothesis that women who exercise daily have a different duration of labor than all women.

Calculate the t statistic.

Step-by-step explanation:

For computing the t statistic it is essential to first state the hypothesis. Suppose the average duration of labour for women is . Using the t statistic will help us determine whether our sample mean is sufficiently high or low in order to make a conclusion that women who exercise daily have a different duration of labor than all women.

let

Here we will use the fact that for a random sample drawn from any population,

where,

Plugging in the numerical values, we get

is the required t statistic.

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the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .