Null and alternative hypotheses,
Probability
1) The EPA fuel economy rating
says that the Toyota Prius hybrid car gets 48 mpg on the highway. Deborah
wonders whether the actual long-term average highway mileage of her new Prius
is less than 48 mpg. She keeps careful records of gas milegae for 3000 miles of
highway driving. Her result is x̄ = 47.2 mpg. What are her
null and alternative hypotheses?
2) The average amount of time that
high school students spend on homework is about 5 hours per week. Only 25% of
college freshman say they spent at least 6 hours per weekon homework in
highschool. Your college wonders if the average for its freshman differs from
the national average. A random sample of 500 freshman claims to have spent an
average of x̄ = 6.2 hours per week on homework in highschool. State
the null and alternative hypotheses for a comparison of freshman at your
college
with national freshman.
3) Internet search sites compete
for users because they sell advertising space on their sites and can change
more if they are heavily used. Choose an internet search attempt at random.
Here is the probability distribution for the site the search uses:
Site Google Yahoo MSN Ask.com Others
Probability 0.66 0.21 0.07 0.04 ?
a) What is the probability that a
search attempt is made at a site other than the leading four.
b) What is the probability that a
search attempt is directed to a site other than Google?