A new brand ofbattery for use in calculators and cameras is said to last significantly longer than another brand. A camera manufacturer is to test this brand (Y) with brand (X) to see if brand Y has a longer life. If brand Y does last longer, the camera manufacturer will equip their new cameras with them. If not, they will equip them with brand X that is less costly. Twenty cameras are equipped as follows: ten with brand Y batteries and ten with brand X batteries and the life of the batteries measured. Is brand Y superior (does it last longer) to brand X? To answer this question, the camera manufacturer uses a 0.01 significance level and knows that the populations are normally distributed with equal variances. Sample data are: Brand X Brand Y R = 10 n, = 10 = 500 hours X, = 650 hours = 400 = 484 State the null and alternative hypotheses. а. Но: Hi: b. What is the test statistic? Appropriate test: Test statistic = с. What is the decision rule? d. State the conclusion.
A new brand ofbattery for use in calculators and cameras is said to last significantly longer than another brand. A camera manufacturer is to test this brand (Y) with brand (X) to see if brand Y has a longer life. If brand Y does last longer, the camera manufacturer will equip their new cameras with them. If not, they will equip them with brand X that is less costly. Twenty cameras are equipped as follows: ten with brand Y batteries and ten with brand X batteries and the life of the batteries measured. Is brand Y superior (does it last longer) to brand X? To answer this question, the camera manufacturer uses a 0.01 significance level and knows that the populations are normally distributed with equal variances. Sample data are: Brand X Brand Y R = 10 n, = 10 = 500 hours X, = 650 hours = 400 = 484 State the null and alternative hypotheses. а. Но: Hi: b. What is the test statistic? Appropriate test: Test statistic = с. What is the decision rule? d. State the conclusion.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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Transcribed Image Text:A new brand ofbattery for use in calculators and cameras is said to last significantly longer than another
brand. A camera manufacturer is to test this brand (Y) with brand (X) to see if brand Y has a longer life. If
brand Y does last longer, the camera manufacturer will equip their new cameras with them. If not, they
will equip them with brand X that is less costly. Twenty cameras are equipped as follows: ten with brand
Y batteries and ten with brand Xbatteries and the life of the batteries measured. Is brand Y superior (does
it last longer) to brand X? To answer this question, the camera manufacturer uses a 0.01 significance level
and knows that the populations are normally distributed with equal variances. Sample data are:
Brand X
Brand Y
* = 10
2 = 10
X = 500 hours
X, = 650 hours
sf =
= 400
s = 484
%3D
State the null and alternative hypotheses.
а.
Но:
Hi:
b.
What is the test statistic?
Appropriate test:
Test statistic =
с.
What is the decision rule?
d.
State the conclusion.
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