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deff fn [24]
3 years ago
5

In the past, the mean running time for a certain type of flashlight battery has been 9.7 hours. The manufacturer has introduced

a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are: H 0: μ = 9.7 hours H a: μ > 9.7 hours where μ is the mean running time of the new batteries . Explain the meaning of a Type I error.
Mathematics
1 answer:
Nadya [2.5K]3 years ago
6 0

Answer:

Step-by-step explanation:

From the information given:

\mathbf{H_o: \mu = 9.7 \ hours}

\mathbf{H_1: \mu > 9.7 \ hours}

The type 1 error is rejecting \mathbf{H_o} when

The meaning of Type 1 error is rejecting the claim that the mean running time is 9.7 hours when actually the mean running time is greater than 9. 7 hour.

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Answer:

57.93% probability that a trip will take at least 35 minutes.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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In this problem, we have that:

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Z = \frac{X - \mu}{\sigma}

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