Answer:
0.3051
Explanation:
mean (μ) = 20.8, standard deviation (σ) = 5.6 and the number of samples (n) = 36 scores.
Z score also known as standard score is used in probability to measure the number of standard deviations by which the value of what is being measured is above or below the mean. It is given by the equation:
Z score (z) = ![\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }](https://tex.z-dn.net/?f=%5Cfrac%7Bx-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D)
For x = 21.6,
![z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } } =\frac{21.6-20.8}{\frac{5.6}{\sqrt{36} } } =0.86](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D%20%3D%5Cfrac%7B21.6-20.8%7D%7B%5Cfrac%7B5.6%7D%7B%5Csqrt%7B36%7D%20%7D%20%7D%20%3D0.86)
From the probability table:
P(x < 21.6) = P(z < 0.86) = 0.3051 = 30.51%
The probability that the mean score for the sample is less than 21.6 = 30.51%
3 votes
Answer:y = 9/13x + 7Step-by-
step explanation:Find the slope
and then plug in a point
For h = 60 + 2.5f, where h = height, in cm, and f = femur length, in cm, and the condition that h > 160cm., the minimum condition for f to meet the requirement for h will be:If h=160cm,f’ = (160-60) /2.5f’ = 40cm,with f’ = 40cm not being a solution to this inequality.
That is, all values greater than 40cm will solve the said inequality which is expressed as:f > (h-60)/2.5
Answer:
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