Batteries We work for the “Watchdog for the Consumer”consumer advocacy group. We’ve been asked to look at abattery company that claims its batteries last an averageof 100 hours under normal use. There have been severalcomplaints that the batteries don’t last that long, so wedecide to test them. To do this, we select 16 batteries andrun them until they die. They lasted a mean of 97 hours,with a standard deviation of 12 hours.a) One of the editors of our newsletter (who does notknow statistics) says that 97 hours is a lot less than theadvertised 100 hours, so we should reject the company’sclaim. Explain to him the problem with doing that.b) What are the null and alternative hypotheses?c) What assumptions must we make in order to proceedwith inference?d) At a 5% level of significance, what do you conclude? e) Suppose that, in fact, the average life of the com-pany’s batteries is only 98 hours. Has an error been made in part d? If so, what kind?
Batteries We work for the “Watchdog for the Consumer”consumer advocacy group. We’ve been asked to look at abattery company that claims its batteries last an averageof 100 hours under normal use. There have been severalcomplaints that the batteries don’t last that long, so wedecide to test them. To do this, we select 16 batteries andrun them until they die. They lasted a mean of 97 hours,with a standard deviation of 12 hours.a) One of the editors of our newsletter (who does notknow statistics) says that 97 hours is a lot less than theadvertised 100 hours, so we should reject the company’sclaim. Explain to him the problem with doing that.b) What are the null and alternative hypotheses?c) What assumptions must we make in order to proceedwith inference?d) At a 5% level of significance, what do you conclude? e) Suppose that, in fact, the average life of the com-pany’s batteries is only 98 hours. Has an error been made in part d? If so, what kind?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Batteries We work for the “Watchdog for the Consumer”
consumer advocacy group. We’ve been asked to look at a
battery company that claims its batteries last an average
of 100 hours under normal use. There have been several
complaints that the batteries don’t last that long, so we
decide to test them. To do this, we select 16 batteries and
run them until they die. They lasted a mean of 97 hours,
with a standard deviation of 12 hours.
a) One of the editors of our newsletter (who does not
know statistics) says that 97 hours is a lot less than the
advertised 100 hours, so we should reject the company’s
claim. Explain to him the problem with doing that.
b) What are the null and alternative hypotheses?
c) What assumptions must we make in order to proceed
with inference?
d) At a 5% level of significance, what do you conclude?
consumer advocacy group. We’ve been asked to look at a
battery company that claims its batteries last an average
of 100 hours under normal use. There have been several
complaints that the batteries don’t last that long, so we
decide to test them. To do this, we select 16 batteries and
run them until they die. They lasted a mean of 97 hours,
with a standard deviation of 12 hours.
a) One of the editors of our newsletter (who does not
know statistics) says that 97 hours is a lot less than the
advertised 100 hours, so we should reject the company’s
claim. Explain to him the problem with doing that.
b) What are the null and alternative hypotheses?
c) What assumptions must we make in order to proceed
with inference?
d) At a 5% level of significance, what do you conclude?
e) Suppose that, in fact, the average life of the com-
pany’s batteries is only 98 hours. Has an error been
pany’s batteries is only 98 hours. Has an error been
made in part d? If so, what kind?
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