A company has developed a new battery. The engineering department of the company claims that each battery lasts for 200 minutes. In order to test this claim, the company selects a random sample of 100 new batteries so that this sample has a mean of 190 minutes. Given that the population standard devi ation is 30 minutes, test the engineering department's claim that the new batteries run with an average of 200 minutes. Use 1% level of significance.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Situation Number 1
A company has developed a new battery. The engineering department of the company claims thateach
battery lasts for 200 minutes. In order to test this claim, the company selects a random sample of 100
new batteries so that this sample has a mean of 190 minutes. Given that the population standard
devi ation is 30 minutes, test the engineering department's claim that the new batteries run with an
average of 200 minutes. Use 1% level of significance.
Transcribed Image Text:Situation Number 1 A company has developed a new battery. The engineering department of the company claims thateach battery lasts for 200 minutes. In order to test this claim, the company selects a random sample of 100 new batteries so that this sample has a mean of 190 minutes. Given that the population standard devi ation is 30 minutes, test the engineering department's claim that the new batteries run with an average of 200 minutes. Use 1% level of significance.
1. Which is the correct null hypothesis that can be derived in the
situation? *
The average runtime of the batteries is equal to 200 minutes.
The average runtime of the batteries is greater than 200 minutes.
The average runtime of the batteries is less than 200 minutes.
The average runtime of the batteries is not equal to 200 minutes.
2. Which is the correct alternative hypothesis that can be derived in the
situation? *
The average runtime of the batteries is less than 200 minutes.
The average runtime of the batteries is greater than 200 minutes.
The average runtime of the batteries is not equal to 200 minutes.
The average runtime of the batteries is equal to 200 minutes.
3. What test will be used based from the given values in the situation? *
z-test since n2 30 and ois known
z-test sincen<30 and o is unknown
t-test since n2 30 and o is known
1-test since n>30 and ois unknown
Transcribed Image Text:1. Which is the correct null hypothesis that can be derived in the situation? * The average runtime of the batteries is equal to 200 minutes. The average runtime of the batteries is greater than 200 minutes. The average runtime of the batteries is less than 200 minutes. The average runtime of the batteries is not equal to 200 minutes. 2. Which is the correct alternative hypothesis that can be derived in the situation? * The average runtime of the batteries is less than 200 minutes. The average runtime of the batteries is greater than 200 minutes. The average runtime of the batteries is not equal to 200 minutes. The average runtime of the batteries is equal to 200 minutes. 3. What test will be used based from the given values in the situation? * z-test since n2 30 and ois known z-test sincen<30 and o is unknown t-test since n2 30 and o is known 1-test since n>30 and ois unknown
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