MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:A company that makes batteries for electric cars indicates that its newest model of battery has an average life,µ,of25years. To prove the company's claim, a
competitor has selected61of these batteries randomly. The average duration of the show is26.1years. Suppose the population standard deviation of these
durations is known to be4.5 years.
Is there sufficient evidence to reject the claim that the median lifetime of the newer model is25years? Perform a hypothesis test using the significance level of
0.10.
(a) Formulate the null hypothesish and the alternative hypothesish 1'
ho:
h₁:0
1:
(b) take a testz and find the p-value.
This information will help you perform the testz.
• The value of the test statistic is given by
#112²
no
μ
O<O
ロミロ
X
X
□≤o
O<O
0=0 ☐#0
Transcribed Image Text:●
Hep-valueis twice the area under the curve to the right of the value of the test statistic.
standard normal distribution
Step 1: Select one queue or two
queues.
A tail
two tails
Step 2: Enter the test statistic.
(Round to 3 decimal places.
Step 3: Shade the area represented by
the p value.
Step 4: Enter the p- value.
(Round to 3 decimal places.
2
- 1
0.4
0.3
0.2 +
0.1+
ta
2
3
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