The National Institute of Standards and Technology (NIST) supplies a \"standard

Question

The National Institute of Standards and Technology (NIST) supplies a "standard liquid" whose electrical conductivity is supposed to be exactly 5. Is there reason to think that the true conductivity of a shipment of this liquid is not 5? To find out, NIST measures the conductivity 6 times. Repeated measurements of the same thing vary, which is why NIST makes 6 measurements. These measurements are an SRS from the population of all possible measurements. This population has a Normal distribution with mean equal to the true conductivity and standard deviation = 0.2. We seek evidence against the claim that = 5. What is the sampling distribution of the mean x in many samples of 6 measurements if the claim is true?

Normal with mean 5 S/cm and standard deviation 0.0816 S/cm.

Binomial with n = 6 and p = 0.2.

Normal with mean 5 c/cm and standard deviation 0.2 c/cm.

Approximately Normal with mean 5 S/cm and standard deviation 0.0816 c/cm.

Explanation / Answer

as population is normally distributed therefore sampling distribution of the mean will also be normal distributed

here mean of sampling distribution of the mean =5

and std deviaiton =0.2/(6)1/2 =0.0816

thereore correct option is :

Normal with mean 5 S/cm and standard deviation 0.0816 S/cm.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.