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.

Respuesta :

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.

[tex]H_0: \mu \leq 1\\H_a: \mu >1[/tex]

(one tailed test )

Sample size n = 46

[tex]\bar x = 1.03\\s = 0.1\\Std error = \frac{0.1}{\sqrt{46} } \\=0.0147[/tex]

Mean difference = 0.03

Test statistic t = mean difference /std error

=2.035

df = 45

p value for one tailed=0.023884