Mathematics, 31.07.2020 19:01 fluffyunicorn59803

The length of human pregnancies from conception to birth varies accordingly to a distribution that is approximately normal with mean 266 days and standard deviation 16 days. a study enrolls a random sample or 16 pregnant women. what are the mean and standard deviation of the sampling distribution of Xbar? What is the probability the average pregnancy length exceed 270 days?

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Answer from: LouieHBK

The answer is below

Step-by-step explanation:

Given that mean (μ) = 266 days, standard deviation (σ) = 16 days, sample size (n) = 16 women.

a) The mean of the sampling distribution of Xbar ( $\mu_x$ ) is given as:

$\mu_x=\mu=266\ days$

The standard deviation of the sampling distribution of Xbar ( $\sigma_x$ ) is given as:

$\sigma_x=\frac{\sigma}{\sqrt{n} } =\frac{16}{\sqrt{16} }=4$

b) The z score is a measure in statistics used to determine by how much the raw score is above or below the mean. It is given by:

$z=\frac{x-\mu}{\sigma/\sqrt{n} }$

For x > 270 days:

$z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{270-266}{\frac{16}{\sqrt{4} } }=1$

The probability the average pregnancy length exceed 270 days = P(x > 270) = P(z > 1) = 1 - P(z < 1) = 1 - 0.8413 = 0.1587 = 15.87%

Answer from: Quest

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.

the distance y is the side opposite to angle x in the right triangle. use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

Hurry i need your (50 points) the moon forms a right triangle with the earth and the sun during one

Answer from: Quest

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.

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The length of human pregnancies from conception to birth varies accordingly to a distribution that i...