Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal sheets of a particular type, its mean value and standard deviation are 90 GPa and 2.3 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.) A USE SALT (a) Calculate P(89 sXS 91) when n = 25. (b) How likely is it that the sample mean diameter exceeds 91 when n = 36? You may need to use the appropriate table in the Appendix of Tables to answer this question.

Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal sheets of a particular type, its mean value and standard deviation are 90 GPa and 2.3 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.) A USE SALT (a) Calculate P(89 sXS 91) when n = 25. (b) How likely is it that the sample mean diameter exceeds 91 when n = 36? You may need to use the appropriate table in the Appendix of Tables to answer this question.

A First Course in Probability (10th Edition)

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...

See similar textbooks

Similar questions

A population of values has a normal distribution with μ=148.6 and σ=37.4. You intend to draw a random sample of size n=28.What is the mean of the distribution of sample means?μ¯x=What is the standard deviation of the distribution of sample means?(Report answer accurate to 2 decimal places.)σ¯x=
Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find the 87th percentile.
A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.5 and σ = 0.5. Suppose a random sample of 100 male students is selected and the GPA for each student is calculated. Find the interval that contains 95.44 percent of the sample means for male students.
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=72.1σ=72.1. You would like to be 99% confident that your estimate is within 2 of the true population mean. How large of a sample size is required?
Automobile Parts: An important manufacturing process produces cylindrical component parts for the automotive industry. It is important that the process produce parts having a mean diameter of 5.0 millimeters. The engineer involved conjectures that the population mean is 5.0 millimeters. An experiment is conducted in which 100 parts produced by the process are selected randomly and the diameter measured on each. It is known that the population standard deviation is σ = 0.1 millimeter. The experiment indicates a sample average diameter of x = 5.027 millimeters. Does this sample information appear to support or refute the engineer's conjecture?
A population of values has a normal distribution with μ=90.7 and σ=14.1. You intend to draw a random sample of size n=156.What is the mean of the distribution of sample means? μ¯x= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=26.4σ=26.4. You would like to be 99% confident that your estimate is within 2 of the true population mean. How large of a sample size is required?n =
nutritionist claims that the mean tuna consumption by a person is 3.4 pounds per year. A sample of 90 people shows that the mean tuna consumption by a person is 3.3 pounds per year. Assume the population standard deviation is 1.02 pounds. At α=0.03, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. A. H0: μ=3.4 Ha: μ≠3.4 Your answer is correct. B. H0: μ>3.4 Ha: μ≤3.4 C. H0: μ≤3.3 Ha: μ>3.3 D. H0: μ≤3.4 Ha: μ>3.4 E. H0: μ>3.3 Ha: μ≤3.3 F. H0: μ≠3.3 Ha: μ=3.3 (b) Identify the standardized test statistic. z=negative 0.93−0.93 (Round to two decimal places as needed.) (c) Find the P-value. 0.3520.352 (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis.
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal sheets of a particular type, its mean value and standard deviation are 75 GPa and 2.5 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.) n USE SALT (a) Calculate P(74 < X < 76) when n = 16. (b) How likely is it that the sample mean diameter exceeds 76 when n = 25?
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal sheets of a particular type, its mean value and standard deviation are 70 GPa and 2.4 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.) n USE SALT (a) Calculate P(69 < XS 71) when n = 25. (b) How likely is it that the sample mean diameter exceeds 71 when n = 49?
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=67.7σ=67.7. You would like to be 95% confident that your estimate is within 1 of the true population mean. How large of a sample size is required? n =
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=46.9σ=46.9. You would like to be 95% confident that your estimate is within 2 of the true population mean. How large of a sample size is required?n =