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## stat short homework

solve in word  doc9.5 Additional Information and Full Hypothesis Test Examples
For each of the word problems, use a solution sheet to do
the hypothesis test. The solution sheet is found in Appendix E. Please feel
free to make copies of the solution sheets. For the online version of the book,
it is suggested that you copy the .doc or the .pdf files.
NOTE If you are using a Student’s-t distribution for one of
the following homework problems, you may assume that the underlying population
is normally distributed. (In general, you must first prove that assumption,
however.)
74. A particular brand of tires claims that its deluxe tire
averages at least 50,000 miles before it needs to be replaced. From past
studies of this tire, the standard deviation is known to be 8,000. A survey of
owners of that tire design is conducted. From the 28 tires surveyed, the mean
lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using alpha
= 0.05, is the data highly inconsistent with the claim?

75. From generation to generation, the mean age when smokers
first start to smoke varies. However, the standard deviation of that age
remains constant of around 2.1 years. A survey of 40 smokers of this generation
was done to see if the mean starting age is at least 19. The sample mean was 18.1
with a sample standard deviation of 1.3. Do the data support the claim at the
5% level?

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