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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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