PLEASE ANSWER A, D. TY The thickness (in millimeters) of the coating applied to hard drives is one characteristic that determines the usefulness of the product. When no unusual circumstances are present, the thickness (x) has a normaldistribution with a mean of 2 mm and a standard deviation of 0.05 mm. Suppose that the process will be monitored by selecting a random sample of 16 drives from each shift's production and determining x, themean coating thickness for the sample.USE SALT(a) Describe the sampling distribution of x for a random sample of size 16.The distribution of x iswith mean 2positively skewed-Select---positively skewed(b) When no unusual circur negatively skewedattention. Calculate 2 normalbimodalapproximately normal2-30 1.96252 + 30 = 2.0375mmmm and standard deviation 0.0125mm.we expect x to be within 30 of 2 mm, the desired value. An x value farther from 2 mm than 30 is interpreted as an indication of a problem that needs(c) Referring to part (b), what is the probability that a sample mean will be outside 2 ± 30 just by chance (that is, when there are no unusual circumstances)? (Round your answer to four decimal places.)0.003X(d) Suppose that a machine used to apply the coating is out of adjustment, resulting in a mean coating thickness of 2.05 mm. What is the probability that a problem will be detected when the next sample istaken? (Hint: This will occur if x > 2 + 30 or x < 2 - 30 when = 2.05. Round your answer to four decimal places.)

Given that μ=2,σ=0.05 , n =16

The thickness (in millimeters) of the coating applied to hard drives is one characteristic that determines the usefulness of the product. When no unusual circumstances are present, the thickness (x) has a normal distribution with a mean of 2 mm and a standard deviation of 0.05 mm. Suppose that the process will be monitored by selecting a random sample of 16 drives from each shift's production and determining x, the mean coating thickness for the sample. LUSE SALT (a) Describe the sampling distribution of x for a random sample of size 16. The distribution of x is positively skewed -Select- x with mean 2 (b) When no unusual circut attention. Calculate 2 2-30x = 1.9625 2+30 2.0375 positively skewed negatively skewed normal bimodal approximately normal mm ✔mm and standard deviation 0.0125 mm. we expect x to be within 30 of 2 mm, the desired value. An x value farther from 2 mm than 30 is interpreted as an indication of a problem that needs (c) Referring to part (b), what is the probability that sample mean will be outside 2 ± 30 just by chance (that is, when there are no unusual circumstances)? (Round your answer to four decimal places.) 0.003 x (d) Suppose that a machine used to apply the coating is out of adjustment, resulting in a mean coating thickness of 2.05 mm. What is the probability that a problem will be detected when the next sample is taken? (Hint: This will occur if x > 2 + 30 orx < 2-30 when - 2.05. Round your answer to four decimal places.)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...