The inside diameter of a randomly sclected piston ring is a random variable with

Question

The inside diameter of a randomly sclected piston ring is a random variable with mean value 13 cm and standard deviation 0.03 cm (a If s the sample mean diameter for a random sample of n-16 rings, places.) here is the sampling distribution of X centered and what the standard deviation of the distribution? Enter your standard deviation to five decimal standard devlation 075 (b) Answer the questions posed in part (a) for a sample size of n 64 rings. (Enter your standard deviation to five decimal places.) center standard deviation Cm cm (c) For which of the two random samples, the one of part (a) or the one of part (b), is X more likely to be within o.01 cm of 13 cm Explain your reasoning. x is more likely to be within 0.01 cm of 13 cm in sample (b) because of the decreased variability with a larger sample size is more likely to be within 0.01 cm of 13 cm in sample (b) because of the increased variability with a larger sample size X is more likely to be within 0.01 cm of 13 cm in sample (a) because of the increased variability with a smaller sample size. Xis more likely to be within 0.01 cm of 13 cm in sample (a) because of the decreased variability with a smaller sample size.

Explanation / Answer

a) center =13

std deviation =0.03/(16)1/2 =0.0075

b)

center =13

std deviation =0.03/(64)1/2 =0.00375

c)option A is correct

Xbar is more likely to be within 0.01 cm of 13 cm in sample b because of the decreased variability with a larger sample size,.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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