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 selected61 of these batteries randomly. The average duration of the show is26.1 years. Suppose the population standard deviation of these durations is known to be4.5years. 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. 0 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 x-μ O √no н 0<0 OSO ロマロ X X 0=0 4 O>0 S
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 selected61 of these batteries randomly. The average duration of the show is26.1 years. Suppose the population standard deviation of these durations is known to be4.5years. 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. 0 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 x-μ O √no н 0<0 OSO ロマロ X X 0=0 4 O>0 S
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
Related questions
Question
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 16 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill