A class survey in a large class for first‑year college students asked, “About how many hours do you study during a typical week?” The mean response of the 463 students was x= 13.7 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation o= 7.4 hours in the population of all first‑year students at this university. Regard these students as an SRS from the population of all first‑year students at this university. Does the study give good evidence that students claim to study more than 13 hours per week on the average? (b) What is the value of the test statistic ? (Enter your answer rounded to two decimal places.) =
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!
A class survey in a large class for first‑year college students asked, “About how many hours do you study during a typical week?” The
Regard these students as an SRS from the population of all first‑year students at this university. Does the study give good evidence that students claim to study more than 13 hours per week on the average?
(b) What is the value of the test statistic ? (Enter your answer rounded to two decimal places.) =
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