Q1 Do students at your school study more, less, or about the same as at other business schools? Business Week reported that at the top 50 business schools, students studied an average of 14.6 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the 14.6 hour benchmark reported by Business Week. a) State the null and alternative hypotheses. b) What is a Type I error for your test? c) What is a Type II error for your test?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Q1
Do students at your school study more, less, or about the same as at other business schools?
Business Week reported that at the top 50 business schools, students studied an average of
14.6 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at
your school is different from the 14.6 hour benchmark reported by Business Week.
a)
State the null and alternative hypotheses.
b)
c)
What is a Type I error for your test?
What is a Type II error for your test?
Q2
ATMs must be stocked with enough cash to satisfy customers making withdrawals over an
entire weekend. But if too much cash is unnecessarily kept in the ATMs, the bank is forgoing
the opportunity of investing the money and earning interest. Suppose that at a particular
branch the population mean amount of money withdrawn from ATMs per customer
transaction over the weekend is $160 with a population standard deviation of $30.
a)
b)
Q3
If a random sample of 36 customer transactions is examined and the sample mean
withdrawal is $148, is there evidence to believe that the population average withdrawal
is less than $160? (Use a 0.05 level of significance.)
Compute the p-value and interpret its meaning.
A manufacturer of chocolate candies uses machines to package candies as they move along a
filling line. Although the packages are labeled as 8 ounces, the company wants the packages
to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8
ounces. A sample of 50 packages is selected periodically, and the packaging process is
stopped if there is evidence that the mean amount packaged is different from 8.17 ounces.
Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.159
ounces, with a sample standard deviation of 0.051 ounce.
a)
Is there evidence that the population mean amount is different from 8.17 ounces? (Use a
0.05 level of significance.)
Transcribed Image Text:Q1 Do students at your school study more, less, or about the same as at other business schools? Business Week reported that at the top 50 business schools, students studied an average of 14.6 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the 14.6 hour benchmark reported by Business Week. a) State the null and alternative hypotheses. b) c) What is a Type I error for your test? What is a Type II error for your test? Q2 ATMs must be stocked with enough cash to satisfy customers making withdrawals over an entire weekend. But if too much cash is unnecessarily kept in the ATMs, the bank is forgoing the opportunity of investing the money and earning interest. Suppose that at a particular branch the population mean amount of money withdrawn from ATMs per customer transaction over the weekend is $160 with a population standard deviation of $30. a) b) Q3 If a random sample of 36 customer transactions is examined and the sample mean withdrawal is $148, is there evidence to believe that the population average withdrawal is less than $160? (Use a 0.05 level of significance.) Compute the p-value and interpret its meaning. A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.159 ounces, with a sample standard deviation of 0.051 ounce. a) Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.05 level of significance.)
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