To evaluate battery life between two types of wireless headphones, a technician tests 2020 units of Brand A and 2525 units of Brand B.Brand A has a mean battery life of 18.218.2 hours\text{hours} with a known population standard deviation of 1.51.5 hours\text{hours}.Brand B has a mean battery life of 17.517.5 hours\text{hours} with a known population standard deviation of 1.81.8 hours\text{hours}.At the α=0.05α = 0.05 level of significance, can the technician conclude that there is a significant difference in the average battery life between the two brands?

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Two Means - Unknown, Unequal Variance

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Problem 34Multiple Choice

To evaluate battery life between two types of wireless headphones, a technician tests $20$ units of Brand A and $25$ units of Brand B.
Brand A has a mean battery life of $18.2$ $hours$ with a known population standard deviation of $1.5$ $hours$ .
Brand B has a mean battery life of $17.5$ $hours$ with a known population standard deviation of $1.8$ $hours$ .
At the $alpha equals 0.05$ level of significance, can the technician conclude that there is a significant difference in the average battery life between the two brands?

There is sufficient evidence to conclude that brand A has significantly higher battery life than brand B.

There is sufficient evidence to conclude that brand B has significantly higher battery life than brand A.

There is insufficient evidence to conclude that the average battery life differs between brand A and brand B.

Insufficient data.

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