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Chapter 9: Q. 9.4 (page 508)
On a state driver's test, about pass the test on the first try. We want to test if more than pass on the first try. Fill in the correct symbol for the null and alternative hypotheses.
a.
b.
a. Null hypotheses is less than or equal to.
b. Alternative hypotheses is greater than.
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We want to test if it takes fewer than minutes to teach a lesson plan. State the null and alternative hypotheses. Fill in the correct symbol for the null and alternative hypotheses.
a.
b.
A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening night midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 of them attended the midnight showing. At a 1% level of significance, an appropriate conclusion is:
a. There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than 20%.
b. There is sufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is more than 20%.
c. There is sufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than 20%.
d. There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is at least 20%.
Toastmasters International cites a report by Gallop Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fear public speaking. She randomly surveys 361 schoolmates and finds that 135 report they fear public speaking. Conduct a hypothesis test to determine if the percent at her school is less than 40%.
"The Craven," by Mark Salangsang
Once upon a morning dreary
In stats class I was weak and weary.
Pondering over last night鈥檚 homework
Whose answers were now on the board
This I did and nothing more.
While I nodded nearly napping
Suddenly, there came a tapping.
As someone gently rapping,
Rapping my head as I snore.
Quoth the teacher, 鈥淪leep no more.鈥�
鈥淚n every class you fall asleep,鈥�
The teacher said, his voice was deep.
鈥淪o a tally I鈥檝e begun to keep
Of every class you nap and snore.
The percentage being forty-four.鈥�
鈥淢y dear teacher I must confess,
While sleeping is what I do best.
The percentage, I think, must be less,
A percentage less than forty-four.鈥�
This I said and nothing more.
鈥淲e鈥檒l see,鈥� he said and walked away,
And fifty classes from that day
He counted till the month of May
The classes in which I napped and snored.
The number he found was twenty-four.
At a significance level of ,
Please tell me am I still alive?
Or did my grade just take a dive
Plunging down beneath the floor?
Upon thee I hereby implore.
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is years. A study was then done to see if the meantime has increased in the new century. A random sample of first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was years with a standard deviation of years. Suppose that it is somehow known that the population standard deviation is . If you were conducting a hypothesis test to determine if the mean length of jail time has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.
_______
_______
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