Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for metal sheets of a particular ty 80 GPa and 1.7 GPa, respectively. Suppose the distribution is normal. (Round your answers to four decimal places.) n USE SALT (a) Calculate P(79 sXS 81) whenn = 16. (b) How likely is it that the sample mean diameter exceeds 81 whenn = 25?

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=185.7μ=185.7 and σ=57.5σ=57.5. You intend to draw a random sample of size n=57n=57.Find P25, which is the score separating the bottom 25% scores from the top 75% scores.P25 (for single values) = Find P25, which is the mean separating the bottom 25% means from the top 75% means.P25 (for sample means) =

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?

A normal distribution has μ = 32 and σ = 5. Find the z score corresponding to x = 27.  Find the z score corresponding to x = 46. Find the raw score corresponding to z = −3. Find the raw score corresponding to z = 1.1.

​(a) The figure to the right represents the normal curve with μ=266 days and σ=16 days. The area to the left of X=245 is 0.0947. Provide two interpretations of this area.   Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Type integers or​ decimals.)   A. The proportion of human pregnancies that last more than nothing days is nothing.   B. The proportion of human pregnancies that last less than nothing days is nothing.

A population of values has a normal distribution with μ=66.8μ=66.8 and σ=44.5σ=44.5. A random sample of size n=209n=209 is drawn. What is the mean of the distribution of sample means?μ¯x=μx¯=  What is the standard deviation of the distribution of sample means? Round your answer to two decimal places.σ¯x=σx¯=

The following table shows the hours studied and corresponding test grade earned by students on a recent test. Calculate the correlation coefficient, r, and determine whether r is statistically significant at the 0.01 level of significance. Round your answer to the nearest thousandth. Critical Values of the Pearson Correlation Coefficient Hours Studied and Test Grades Hours Studied 0 0.5 2 2.25 3.25 3.5 3.75 3.75 4 5 1 1 81 Test Grade 72 64 68 79 85 82 72 99 87 84 97

A population of values has a normal distribution with μ=219.5μ=219.5 and σ=62.5σ=62.5. A random sample of size n=187n=187 is drawn. What is the mean of the distribution of sample means?μ¯x=μx¯=  What is the standard deviation of the distribution of sample means? Round your answer to two decimal places.σ¯x=σx¯=

The probability that a trainee will remain with a company is 0.6. the probability that am employee earnsbmore than k10,000 per month is 0.5. the probability that an employee who is a trainee remained with the company or who earns more than k10,000 per month is 0.7. what is the probability that an employee earns more than k10,000 per month given that he is a trainee who stayed with the company