ebAssign →x CO D Education influences attitude and festyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n= 34 U.S. cities. The sample mean for these cities showed that x 15.2% of the older adults had attended college. Large surveys of young adults (age 25 34) were taken in n= 40 U.S. dities. The sample mean for these cities showed that x 18.6% of the young adults had attended college. From previous studies, it is known that a . 7.2% and ez 4.4%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use a0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Hol H P2 Hy P> P2 O Hai 1 < P2i H 2 OHại P Pi H H a OH P P2i Hil s P2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume that both population distributions are appraximately normal with known standard devlations. The Student'st. We assume that both popolation distributions are appreximately normal with unknown standard deviations. The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. The standard normal. we assume that both population distributions are apprasimately normal with knoen standard deviations. What is the value of the sample test statistic? (Test the ditference -2 Round your answer to two decimal places.) (c) Find (or estimate) the Pvalus. (Raund your answer to four decimal places.) Sketch the sampling distribution and show the area correspondng to the Pvalue
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!
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