A sample of 46 copper wires had a mean resistance of 1.03 mΩ with a standard deviation of 0.1 mΩ. Let μ represent the mean resistance of cop

Question

A sample of 46 copper wires had a mean resistance of 1.03 mΩ with a standard deviation of 0.1 mΩ. Let μ represent the mean resistance of copper wires of this type. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Find the P-value for testing H0 : μ ≤ 1 versus H1 : μ > 1.

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Sophia 2 weeks 2021-10-10T23:51:21+00:00 1 Answer 0

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    2021-10-10T23:53:02+00:00

    Answer:

    p value =0.024

    Step-by-step explanation:

    Given that a sample of 46 copper wires had a mean resistance of 1.03 mΩ with a standard deviation of 0.1 mΩ

    Let μ represent the mean resistance of copper wires of this type.

    H_0: \mu \leq 1\\H_a: \mu >1

    (one tailed test )

    Sample size n = 46

    \bar x = 1.03\\s = 0.1\\Std error = \frac{0.1}{\sqrt{46} } \\=0.0147

    Mean difference = 0.03

    Test statistic t = mean difference /std error

    =2.035

    df = 45

    p value for one tailed=0.023884

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