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ki77a [65]
3 years ago
13

What is the probability that five randomly selected students will have a mean score that is greater than the mean achieved by th

e students in the previous problem? (Round your answer to 4 decimal places.
Mathematics
1 answer:
katrin2010 [14]3 years ago
5 0

Answer:

the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096

Step-by-step explanation:

From the five randomly selected students ; 160, 175, 163, 149, 153

mean average of the students = 160+175+163+149+153/5

= mean = x-bar = 800/5

mean x-bar = 160

from probability distribution, P(x-bar > 160) = P[ x-bar - miu / SD > 160 -150.8 /3.94]

P( Z>2.34) = from normal Z-distribution table

= 0.0096419

= 0.0096

hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096

where SD = standard deviation = 3.94 and Miu = 150.8

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To find standard deviation you need the copulative formula and the notation change for sample shows the small m and s to represent standard deviation ie) m-n is a notation difference for samples of population's

n = number of scores ie)  = 50  

Ex = then sum of x  = would be the collective total  ie) = 270

m = 270/50 = 5.4

Ex^2 = 270 x 270 = 72900   (the square of the total population)

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is the formula  = 71,442

the root of SS -1

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S = sqrt S^2 = sqrt SS /n-1 = sq rt 50 = and you get your answer here.

Standard Deviation on data example here shown is;

S = sqrt 5.51 = sqrt 71442 / n-1 = sq rt 71442/ 50-1 = sq rt 71442/49 = 38.1837662  from a 270 population that exists with 50 age group 25 -75 to show the ease here and how to remember.

Just retrace and where 270 is change for total

Where 50 is put 64-25 = 39

and where n-1 is put 39-1 and always subtract first before dividing as the formula protects the brackets as seen in bold.

As your very last formula is S = SS/n-1

Step-by-step explanation:

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