Homework Help is Here – Start Your Trial Now!
Math
Statistics
(a) Describe the sampling distribution of x for a random sample of size 16. The distribution of x is ---Select--- ✓with mean 5- 20x = 5 + 20 = (b) When no unusual circumstances are present, we expect x to be within 20 of 5 mm, the desired value. An x value farther from 5 mm than 20 is interpreted as an indication of a problem that needs attention. Calculate 5 ± 20%. mm mm and standard deviation mm mm. (c) Referring to part (b), what is the probability that a sample mean will be outside 5 ± 20 just by chance (that is, when there are no unusual circumstances)? (Round your answer to four decimal places.)

(a) Describe the sampling distribution of x for a random sample of size 16. The distribution of x is ---Select--- ✓with mean 5- 20x = 5 + 20 = (b) When no unusual circumstances are present, we expect x to be within 20 of 5 mm, the desired value. An x value farther from 5 mm than 20 is interpreted as an indication of a problem that needs attention. Calculate 5 ± 20%. mm mm and standard deviation mm mm. (c) Referring to part (b), what is the probability that a sample mean will be outside 5 ± 20 just by chance (that is, when there are no unusual circumstances)? (Round your answer to four decimal places.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
See similar textbooks
icon
Related questions
Question
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 5 mm and a standard deviation of 0.03 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. USE SALT (a) Describe the sampling distribution of x for a random sample of size 16. The distribution of x is ---Select--- ✓with mean 5 - 20 = 5 + 20x = mm and standard deviation (b) When no unusual circumstances are present, we expect x to be within 20 of 5 mm, the desired value. An x value farther from 5 mm than 20 is interpreted as an indication of a problem that needs attention. Calculate 5 ± 20%. mm mm mm. (c) Referring to part (b), what is the probability that a sample mean will be outside 5 ± 20 just by chance (that is, when there are no unusual circumstances)? (Round your answer to four decimal places.) (d) Suppose that a machine used to apply the coating is out of adjustment, resulting in a mean coating thickness of 5.03 mm. What is the probability that a problem will be detected when the next sample is taken? (Hint: This will occur if x > 5 + 20 orx < 5-20 when μ = 5.03. Round your answer to four decimal places.)
Transcribed Image Text: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 5 mm and a standard deviation of 0.03 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. USE SALT (a) Describe the sampling distribution of x for a random sample of size 16. The distribution of x is ---Select--- ✓with mean 5 - 20 = 5 + 20x = mm and standard deviation (b) When no unusual circumstances are present, we expect x to be within 20 of 5 mm, the desired value. An x value farther from 5 mm than 20 is interpreted as an indication of a problem that needs attention. Calculate 5 ± 20%. mm mm mm. (c) Referring to part (b), what is the probability that a sample mean will be outside 5 ± 20 just by chance (that is, when there are no unusual circumstances)? (Round your answer to four decimal places.) (d) Suppose that a machine used to apply the coating is out of adjustment, resulting in a mean coating thickness of 5.03 mm. What is the probability that a problem will be detected when the next sample is taken? (Hint: This will occur if x > 5 + 20 orx < 5-20 when μ = 5.03. Round your answer to four decimal places.)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer