The average tensile strength for a particular aircraft bolt is 32.06 kN with a variance of...

The average tensile strength for a particular aircraft bolt is 32.06 kN with a variance of 0.01 kN. What proportion of bolts will have a tensile strength less than 31.9 and more than 32.3 kN?

This was all the information given.

If not possible to solve please state why.

Solutions

Expert Solution

Define random variable X be the tensile strength for a particular aircraft bolt.

Assume that the X has normal distribution with mean and standard deviation are,

Average tensile strength for particular aircraft bolt =

Variance =

Standard deviation =

Here we have to find P(31.9 < X < 32.3)

= P(-1.6 < z < 2.4) where z is standard normal variable

= P(z < 2.4) - P(z < -1.6)

= 0.9918 - 0.0548 (From statistical table of z values)

= 0.937

Proportion of bolts having a tensile strength less than 31.9 and more than 32.3 kN is 0.937

orchestra answered 1 year ago

Next > < Previous

Related Solutions

In a sample of 75 steel wires, the average breaking strength is 50 kN, with a...

In a sample of 75 steel wires, the average breaking strength is 50 kN, with a standard deviation of 1.9 kN. a) Find a 99% confidence interval for the mean breaking strength of this type of wire. b) An engineer claims that the mean breaking strength is between 49.7 kN and 50.3 kN With what level of confidence can this statement be made? c) How many wires must be sampled so that a 99% confidence interval specifies the mean breaking...

An engineer studying the tensile strength of a composite material knows that tensile strength is approximately...

An engineer studying the tensile strength of a composite material knows that tensile strength is approximately normally distributed with σ = 60 psi. A random sample of 20 specimens has a mean tensile strength of 3450 psi. (a) Test the hypothesis that the mean tensile strength is 3500 psi, using α = 0.01 (b) What isthe smallest level of significance at which you would be willing to reject the null hypothesis? (c) What is the β error for the test...

An engineer who is studying the tensile strength of a steel alloy knows that tensile strength...

An engineer who is studying the tensile strength of a steel alloy knows that tensile strength is approximately normally distributed with sigma= 60 psi. A random sample of 12 specimens has a mean tensile strength of 3450 psi. a) Compute a two-side confidence interval on the maen tensile strength at a 95% confidence level. b) Test the hypothesis that the mean strength is 3500 psi at alfa=0.05, and provide a conclusion statement. c) If we keep the signifiance level constant...

An engineer who is studying the tensile strength of a steel alloy knows that tensile strength...

An engineer who is studying the tensile strength of a steel alloy knows that tensile strength is approximately normally distributed with σ = 60 psi. A random sample of 12 specimens has a mean tensile strength of 3450 psi. a) Compute a two-sided confidence interval on the mean tensile strength at a 95% confidence level b) Test the hypothesis that the mean strength is 3500 psi at α= 0.05, and provide a conclusion statement

: Determine the LRFD tensile design strength and the ASD tensile strength of the connection shown...

: Determine the LRFD tensile design strength and the ASD tensile strength of the connection shown if eight 7/8-in bolts are used in each flange to connect W18 X 76 with two 3/4 X 14-in plates. Include block shear calculations. (Fy = 50 ksi, Fu = 65 ksi)

Tensile tests of a 3D printed material show that the average yield strength of that material...

Tensile tests of a 3D printed material show that the average yield strength of that material is about 800 MPa with a standard deviation of 40 MPa. Due to the variations of the process parameters, the yield strength can vary, and historical data show that yield strength of the material follows a uniform continuous distribution. Answer questions 1a to 1e using this information. 1.If yield strength of the material is uniformly distributed between 730.72 to 869.28, what is the expected...

vickers hardness test and tensile strength what is the correalation between hardness and tensile strength. how...

vickers hardness test and tensile strength what is the correalation between hardness and tensile strength. how could you estimate one from the other

The average tensile strength of carbon fiber cloth is 600 MPa. You are testing a new...

The average tensile strength of carbon fiber cloth is 600 MPa. You are testing a new weaving pattern for the carbon fiber threads and want to know if this new weave causes a difference in the tensile strength. After testing 18 samples of the new weave, you found a sample average of 585 MPa with a standard deviation of 34 MPa. At a significance level of 0.05, test to see if this new weave has a different mean than 600...

1) An engineer who is studying the tensile strength of a steel alloy knows that tensile...

1) An engineer who is studying the tensile strength of a steel alloy knows that tensile strength is approximately normally distributed with σ = 60 psi. A random sample of 12 specimens has a mean tensile strength of 3450 psi. a) Compute a two-sided confidence interval on the mean tensile strength at a 95% confidence level b) Test the hypothesis that the mean strength is 3500 psi at α= 0.05, and provide a conclusion statement c) If we keep the...

Compute the longitudinal tensile strength of an aligned glass fiber-epoxy matrix composite in which the average...

Compute the longitudinal tensile strength of an aligned glass fiber-epoxy matrix composite in which the average fiber diameter and length are 0.0155 mm (0.60 × 10-4 in.) and 1.07 mm (0.042 in.), respectively, and the volume fraction of fibers is 0.38. Assume that (1) the fiber-matrix bond strength is 100 MPa (14,500 psi), (2) the fracture strength of the fibers is 3500 MPa (5 × 105 psi), and (3) the matrix stress at composite failure is 5.5 MPa (800 psi).

Subjects