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Chapter 9: Q. 40 (page 539)
If you do not reject the null hypothesis, then it must be true. Is this statement correct? State why or why not in complete sentences.
The given statement is incorrect.
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The mean age of De Anza College students in a previous term was years old. An instructor thinks the mean age for online students is older than She randomly surveysonline students and finds that the sample mean iswith a standard deviation of Conduct a hypothesis test.
An article in the San Jose Mercury News stated that students in the California state university system take years, on
average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of
students and obtain a sample mean of with a sample standard deviation of Do the data support your claim at the
level?
For Americans using library services, the American Library Association claims that at most of patrons borrow books. The library director in Owensboro, Kentucky feels this is not true, so she asked a local college statistic class to conduct a survey. The class randomly selected patrons and found that borrowed books. Did the class demonstrate that the percentage was higher in Owensboro, KY? Use level of significance. What is the possible proportion of patrons that do borrow books from the Owensboro Library?
Some of the following statements refer to the null hypothesis, some to the alternate hypothesis. State the null hypothesis, , and the alternative hypothesis. Ha, in terms of the appropriate parameter .
a. The mean number of years Americans work before retiring is .
b. At most 60% of Americans vote in presidential elections.
c. The mean starting salary for San Jose State University graduates is at least per year.
d. Twenty-nine percent of high school seniors get drunk each month.
e. Fewer than of adults ride the bus to work in Los Angeles.
f. The mean number of cars a person owns in her lifetime is not more than ten.
g. About half of Americans prefer to live away from cities, given the choice.
h. Europeans have a mean paid vacation each year of six weeks.
i. The chance of developing breast cancer is under for women.
j. Private universities' mean tuition cost is more than per year.
"Dalmatian Darnation," by Kathy Sparling
A greedy dog breeder named Spreckles
Bred puppies with numerous freckles
The Dalmatians he sought
Possessed spot upon spot
The more spots, he thought, the more shekels.
His competitors did not agree
That freckles would increase the fee.
They said, “Spots are quite nice
But they don't affect price;
One should breed for improved pedigree.”
The breeders decided to prove
This strategy was a wrong move.
Breeding only for spots
Would wreak havoc, they thought.
His theory they want to disprove.
They proposed a contest to Spreckles
Comparing dog prices to freckles.
In records they looked up
One hundred one pups:
Dalmatians that fetched the most shekels.
They asked Mr. Spreckles to name
An average spot count he'd claim
To bring in big bucks.
Said Spreckles, “Well, shucks,
It's for one hundred one that I aim.”
Said an amateur statistician
Who wanted to help with this mission.
“Twenty-one for the sample
Standard deviation's ample:
They examined one hundred and one
Dalmatians that fetched a good sum.
They counted each spot,
Mark, freckle and dot
And tallied up every one.
Instead of one hundred one spots
They averaged ninety six dots
Can they muzzle Spreckles’
Obsession with freckles
Based on all the dog data they've got?
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