The energy storage system is an important part of any electric car. An electric car company has decided to replace their batteries with a new type and want to examine wo types of batteries for its new vehicles: Lithium-ion and Lead-acid batteries. Due co the critical role of lifespan in the energy storage system, the company randomly selected 10 samples from each type and ran an accelerated life test to obtain the lifetime of each battery type. The measured lifespan is illustrated in the table below: Lithium-ion Lead-acid 365 370 366 358 369 362 364 364 363 357 365 355 364 366 365 359 369 355 362 356 (a) Test the hypothesis that the mean lifespan of the two battery types are equal. Use a = 0.01 and assume equal variances. (b) Find the P-value for this test.

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The energy storage system is an important part of any electric car. An electric car
company has decided to replace their batteries with a new type and want to examine
two types of batteries for its new vehicles: Lithium-ion and Lead-acid batteries. Due
to the critical role of lifespan in the energy storage system, the company randomly
selected 10 samples from each type and ran an accelerated life test to obtain the
lifetime of each battery type. The measured lifespan is illustrated in the table below:
Lithium-ion
Lead-acid
365
370
366
358
369
362
364
364
363
357
365
355
364
366
365
359
369
355
362
356
(a) Test the hypothesis that the mean lifespan of the two battery types are equal.
Use a = 0.01 and assume equal variances.
(b) Find the P-value for this test.
Transcribed Image Text:The energy storage system is an important part of any electric car. An electric car company has decided to replace their batteries with a new type and want to examine two types of batteries for its new vehicles: Lithium-ion and Lead-acid batteries. Due to the critical role of lifespan in the energy storage system, the company randomly selected 10 samples from each type and ran an accelerated life test to obtain the lifetime of each battery type. The measured lifespan is illustrated in the table below: Lithium-ion Lead-acid 365 370 366 358 369 362 364 364 363 357 365 355 364 366 365 359 369 355 362 356 (a) Test the hypothesis that the mean lifespan of the two battery types are equal. Use a = 0.01 and assume equal variances. (b) Find the P-value for this test.
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