Chapter 9: Q. 24 (page 538)
A population mean is . The sample mean is
, and the sample standard deviation is two. The sample size is . What distribution should you use to perform a hypothesis test? Assume the underlying population is normal.
Student's distribution is used to perform a hypothesis test.
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For Americans using library services, the American Library Association claims that at most 67% 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 100 patrons and found that 82 borrowed books. Did the class demonstrate that the percentage was higher in Owensboro, KY? Use ฮฑ = 0.01 level of significance. What is the possible proportion of patrons that do borrow books from the Owensboro Library?
According to the Center for Disease Control website, in 2011 at least 18% of high school students have smoked a cigarette. An Introduction to Statistics class in Davies County, KY conducted a hypothesis test at the local high school (a medium sizedโapproximately 1,200 studentsโsmall city demographic) to determine if the local high schoolโs percentage was lower. One hundred fifty students were chosen at random and surveyed. Of the 150 students surveyed, 82 have smoked. Use a significance level of 0.05 and using appropriate statistical evidence, conduct a hypothesis test and state the conclusions.
"The Craven," by Mark Salangsang
Once upon a morning dreary
In stats class I was weak and weary.
Pondering over last nightโs 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, โSleep no more.โ
โIn every class you fall asleep,โ
The teacher said, his voice was deep.
โSo a tally Iโve begun to keep
Of every class you nap and snore.
The percentage being forty-four.โ
โMy 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.โ
This I said and nothing more.
โWeโll see,โ 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 0.05,
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.
Assume the -value is . What type of test is this? Draw the picture of the -value.
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.
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