MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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, = 37 U.S. cities. The sample mean for these cities showed that x,
25.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in a,- 32 U.S. attes. The sample mean for these aties showed that x, = 19.6% of the young adults had attended college. From previous studies, t is known that o, - 6.H% and o,
5.6%. Does this Information Indicate that the population mean percentage of young adults who attended college Is higher? Use a = D.05.
(a) what is the level of signifcance?
state the null and altemate hypotheses.
O Hai H, = Hi H H, H
O H, H, <Hi H: 4, - H2
(b) what sampling distribution will you use? what assumptions are you making?
O The Student's t. We assume that both population distributions are approxcimately normal with unknown standard devlations.
O The standard normal. We assume that both population distributions are approximately normal with known standard devlations.
O The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
O The standard normal, We assume that both population distributions are approximately normal with unknown standard devtations.
What is the value of the sample test statistic? (Test the difference u, - H. Round your answer to two decimal places.)
(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
US O 9 0 4:06
hp
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Transcribed Image Text: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, = 37 U.S. cities. The sample mean for these cities showed that x, 25.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in a,- 32 U.S. attes. The sample mean for these aties showed that x, = 19.6% of the young adults had attended college. From previous studies, t is known that o, - 6.H% and o, 5.6%. Does this Information Indicate that the population mean percentage of young adults who attended college Is higher? Use a = D.05. (a) what is the level of signifcance? state the null and altemate hypotheses. O Hai H, = Hi H H, H O H, H, <Hi H: 4, - H2 (b) what sampling distribution will you use? what assumptions are you making? O The Student's t. We assume that both population distributions are approxcimately normal with unknown standard devlations. O The standard normal. We assume that both population distributions are approximately normal with known standard devlations. O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal, We assume that both population distributions are approximately normal with unknown standard devtations. What is the value of the sample test statistic? (Test the difference u, - H. Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. US O 9 0 4:06 hp
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