Chapter 9: Q.21 (page 537)
Which two distributions can you use for hypothesis testing for this chapter?
A student's t-distribution or a normal distribution.
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The student academic group on a college campus claims that freshman students study at least hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random sample of freshman students and found a mean study time of minutes with a standard deviation of minutes. At level, is the student academic groupโs claim correct?
Registered nurses earned an average annual salary of . For that same year, a survey was conducted of California registered nurses to determine if the annual salary is higher than for California nurses. The sample average waswith a sample standard deviation of Conduct a hypothesis test.
"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, โSpots are quite nice
But they don't affect price;
One should breed for improved pedigree.โ
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, โWell, shucks,
It's for one hundred one that I aim.โ
Said an amateur statistician
Who wanted to help with this mission.
โTwenty-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 Sprecklesโ
Obsession with freckles
Based on all the dog data they've got?
State the Type I and Type II errors in complete sentences given the following statements.
a. The mean number of years Americans work before retiring is 34.
b. At most 60% of Americans vote in presidential elections.
c. The mean starting salary for San Jose State University graduates is at least \(100,000 per year.
d. Twenty-nine percent of high school seniors get drunk each month.
e. Fewer than 5% of adults ride the bus to work in Los Angeles.
f. The mean number of cars a person owns in his or her lifetime is not more than ten.
g. About half of Americans prefer to live away from cities, given the choice.
h. Europeans have a mean paid vacation each year of six weeks.
i. The chance of developing breast cancer is under 11% for women.
j. Private universities mean tuition cost is more than \)20,000 per year.
La Leche League International reports that the mean age of weaning a child from breastfeeding is age four to five worldwide. In America, most nursing mothers wean their children much earlier. Suppose a random survey is conducted of 21 U.S. mothers who recently weaned their children. The mean weaning age was nine months (3/4 year) with a standard deviation of 4 months. Conduct a hypothesis test to determine if the mean weaning age in the U.S. is less than four years old.
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