1. Tutorial 8
The following data are the lives of 15 radio tubes selected at random from a large batch of tubes:
(a) Test the hypothesis that the median is 63, (b) Test the hypothesis that the median is at least 63.
Entering college freshmen have taken a particular high school achievement examination for many years, and the upper quartile is well established at a score of 193. A particular high school sends 15 of its graduates to college, where they take the exam and get the following scores:
Compare the students from that high school with other college students by testing the hypothesis that the above scores come from a population whose upper quartile is 193.
11/21/2018
SA3202, Tutorial 8

2. A random sample of 10th-grade boys resulted in the following 20 observed weights:
Test the hypotheses respectively:
(i) the median weight is 103 ,
(ii) the upper quartile is at least 150,
(iii) the third decile is no greater than 100.
An automobile manufacturer wishes to allow enough headroom in his automobiles to comfortably accommodate all but the tallest 5 percent of the people who drive. Former studies indicate that the
95th percentile was 70.3 inches. In order to see if the results of former studies are still valid, a random sample of size 100 was selected. It was found that the twelve tallest persons in the sample have the following heights:
Is it reasonable to use 70.3 as the 95th percentile?
11/21/2018
SA3202, Tutorial 8