The average length of time required to complete a college achievement test was found to equal 70 minutes, with a standard deviation of 12 minutes. (Assume that the time required to complete the test is normally distributed) a) Define the variable normally distributed. ?: ~ > ?(___________,____________) b) In how much time will the fastest 10% of the students will terminate? We wanted to corroborate this assertion. We took a sample of 35 students and they completed the test with an average time of 72 minutes. c) Write the sampling distribution? ?̅: ~ > ?(___________,____________) because:
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The average length of time required to complete a college achievement test
was found to equal 70 minutes, with a standard deviation of 12 minutes.
(Assume that the time required to complete the test is
distributed
a) Define the variable normally distributed.
?:
~ > ?(___________,____________)
b) In how much time will the fastest 10% of the students will terminate?
We wanted to corroborate this assertion. We took a sample of 35 students
and they completed the test with an average time of 72 minutes.
c) Write the sampling distribution?
?̅:
~ > ?(___________,____________)
because:
d) If the assertion is right, what is the probability to get your mean (72
minutes) or less as an average time? Justify
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