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Chapter 9: Q. 16 (page 537)
A group of doctors is deciding whether or not to perform an operation. Suppose the null hypothesis, , is: the surgical procedure will go well. Which is the error with the greater consequence?
In this case, the error with the greater consequence is that the type II error.
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According to the N.Y. Times Almanac the mean family size in the U.S. is . A sample of a college math class resulted in the following family sizes:
At level, is the class’ mean family size greater than the national average? Does the Almanac result remain valid? Why?
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.
A bottle of water is labeled as containing 16 fluid ounces of water. You believe it is less than that. What type of test would you use?
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%.
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
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