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Chapter 9: Q. 14 (page 537)
A sleeping bag is tested to withstand temperatures of . You think the bag cannot stand temperatures that low. State the Type I and Type II errors in complete sentences.
In words, describe
The power is that the bag can't stand temperature of after we accept the hypothesis
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According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is Suppose that a survey is conducted to determine this year’s rate. Nine out of randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine if the rate is still or if it has decreased.
"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?
The US Department of Energy reported that of homes were heated by natural gas. A random sample of homes in Kentucky found that were heated by natural gas. Does the evidence support the claim for Kentucky at the level in Kentucky? Are the results applicable across the country? Why?
Previously, an organization reported that teenagers spent hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was hours with a sample standard deviation of . Conduct a hypothesis test.
At a significance level of , what is the correct conclusion?
a. There is enough evidence to conclude that the mean number of hours is more than
b. There is enough evidence to conclude that the mean number of hours is more than 4.5
c. There is not enough evidence to conclude that the mean number of hours is more than 4.5
d. There is not enough evidence to conclude that the mean number of hours is more than 4.75
Instructions: For the following ten exercises,
Hypothesis testing: For the following ten exercises, answer each question.
a. State the null and alternate hypothesis.
b. State the p-value.
c. State alpha.
d. What is your decision?
e. Write a conclusion.
f. Answer any other questions asked in the problem
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.
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