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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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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: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
● 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
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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