Range anxiety is one of the reasons consumers are reluctant to switch to an electric vehicle, and battery degradation adds to this anxiety. That is, the battery's charge capacity decreases with an increase in charge cycles. Tesla claims that its batteries typically suffer a 10% degradation after 100,000 miles of use. Attached to the link below is the sample data of 61 different car capacities after reaching 100,000 miles of use. Use the data to test the claim with an of 1%. Conclude your analysis to telling us what the test says about the claim. Hypothesis testing is an enormously practical way of objectively testing a claim with evidence from the real world if you follow good data sampling and collecting practices. In this exercise, you will only practice the first step in the process. That is, choose or state a claim that you would be interested in testing to see if it is true. Each member should choose a claim they would like to test, and decide if it can be phrased as a mean or proportion test. Battery Capacity after 100,000 miles of use 89 90 91.5 92 92.5 95 95.5 96 93 93.5 94 94 91 93.5 93.5 94 91.5 92.5 93 89.5 91.5 92.5 92.5 90.5 92 93 95 95 96 96 95 93.5 93 93.5 93 93 93 93 96.5 90.5 90 87.5 90 91 91 91 91.5 92 92 92 92 92.5 93 93 93 85 84.5 84 86 87 88

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Related questions

Question

100%

Range anxiety is one of the reasons consumers are reluctant to switch to an electric vehicle, and battery degradation adds to this anxiety. That is, the battery's charge capacity decreases with an increase in charge cycles. Tesla claims that its batteries typically suffer a 10% degradation after 100,000 miles of use. Attached to the link below is the sample data of 61 different car capacities after reaching 100,000 miles of use. Use the data to test the claim with an of 1%. Conclude your analysis to telling us what the test says about the claim.

Hypothesis testing is an enormously practical way of objectively testing a claim with evidence from the real world if you follow good data sampling and collecting practices. In this exercise, you will only practice the first step in the process. That is, choose or state a claim that you would be interested in testing to see if it is true. Each member should choose a claim they would like to test, and decide if it can be phrased as a mean or proportion test.

Battery Capacity after
100,000 miles of use
89
90
91.5
92
92.5
95
95.5
96
93
93.5
94
94
91
93.5
93.5
94
91.5
92.5
93
89.5
91.5
92.5
92.5
90.5
92
93
95
95
96
96
95
93.5
93
93.5
93
93
93
93
96.5
90.5
90
87.5
90
91
91
91
91.5
92
92
92
92
92.5
93
93
93
85
84.5
84
86
87
88

Mean Hypothesis Test With Sample Standard Deviation
This test uses the student t-distribution!
Signifigance Level
Null Hypothesis
Test Type
a=
0.5
Ho: Ho=
25000
Left Tailed
Right Tailed
Two Tailed
Hạ: H
Alternative hypothesis
Sample Size
Sample Average
μο>μ
Ho<H
n=
14
X=
19850
Sample SD
S=
1084
t-statistic
t=
-17.7763243
cridical t
t c
-0.693829304
0.693829304
Test Type
Left Tailed
Right Tailed
Two Tailed
P-Value
P=
8.35686E-11
1
1.67137E-10
Conclusion
Reject null hypothesis
Fail to reject null hypothesis
Reject null hypothesis

Mean Hypothesis Test
Signifigance Level
Null Hypothesis
Test Type
a=
0.05
Ho: Ho=
2500
Left Tailed
Right Tailed
Two Tailed
Ha: H
Alternative hypothesis
Sample Size
Sample Average
Ho>H
Ho<H
n=
51
X=
2542
Population SD
109
2.751743064
-1.644853627
Z-score
z=
cridical z
z C
1.644853627
-1.959963985
1.959963985
Test Type
Left Tailed
Right Tailed
Two Tailed
0.997036049
Fail to reject null hypothesis
P-Value
P=
0.002963951
0.005927901
Conclusion
Reject null hypothesis
Reject null hypothesis

Expert Solution

Step 1

Given information:

x
89
90
91.5
92
92.5
95
95.5
96
93
93.5
94
94
91
93.5
93.5
94
91.5
92.5
93
89.5
91.5
92.5
92.5
90.5
92
93
95
95
96
96
95
93.5
93
93.5
93
93
93
93
96.5
90.5
90
87.5
90
91
91
91
91.5
92
92
92
92
92.5
93
93
93
85
84.5
84
86
87
88