A sample of ultimate tensile strength observations (ksi) was taken. Use the accompanying descriptive statistics output from Minitab to calculate a 99% lower confidence bound for true average ultimate tensile strength, and interpret the result. (Round your answer to two decimal places.)

The 99% lower confidence bound for the true average ultimate tensile strength is .

With these lower confidence bound we can claim that there is a 99% chance that the real ultimate tensile strength is greater than 134.53.

Step-by-step explanation:

The question is incomplete. The desctiptive statistics are the ones attached.

We have to calculate a 99% lower confidence bound for true average ultimate tensile strength.

For a 99% lower confidence bound, the z-value is z=2.33.

The margin of error is

Then, the 99% lower confidence bound for the true average ultimate tensile strength is:

The experiment is probably done to estimate with a certain degree of confidence the minimum tensile strength of a population of elements, by evaluating a sample.

With these lower confidence bound we can claim that there is a 99% chance that the real ultimate tensile strength is greater than 134.53.

J. The equation has one real solution and two complex solutions.

Step-by-step explanation:

Complex solutions come in pairs, so there can only be an even number of them.  So we can rule out G, H, and K.

To find the other roots, we can factor using either long division or grouping.  To use long division, see the attached picture.  To use grouping:

3x³ − 4x² + x − 10 = 0

3x³ − 6x² + 2x² + x − 10 = 0

3x² (x − 2) + (2x + 5) (x − 2) = 0

(x − 2) (3x² + 2x + 5) = 0

The other factor is 3x² + 2x + 5.  The discriminant of this is (2)² − 4(3)(5) = -56.  Since the discriminant is negative, the roots are complex.