The population of lengths of aluminum-coated steel sheets is normal distributed with a mean of 30.05 inches

I have to be able to do these in Mega Stats.

Must show work and use mega stats.

1) The population of lengths of aluminum-coated steel sheets is normal distributed with a mean of 30.05 inches and a standard deviation of 0.3 inches. What is the probability that average length of a steel sheet from a sample of 9 units is more than 29.95 inches long?
2) In a manufacturing process a random sample of 9 bolts manufactured has a mean length of 3 inches with a standard deviation of 0.3 inches. What is the 95% confidence interval for the true mean length of the bolt? Round final answer to three decimals.
3) The internal auditing staff of a local manufacturing company performs a sample audit each quarter to estimate the proportion of accounts that are delinquent (more than 90 days overdue) For this quarter, the auditing staff randomly selected 400 customer accounts and found that 80 of these accounts were delinquent. What is the 95% confidence interval for the proportion of all delinquent customer accounts at this manufacturing company? Round to four decimals.

The population of lengths of aluminum-coated steel sheets is normal distributed with a mean of 30.05 inches and a standard deviation of 0.3 inches. What is the probability that average length of a steel sheet from a sample of 9 units is more than 29.95 inches long?

1. A study shows that employees that begin their work day at 9:00 a.m. vary their times of arrival uniformly from 8:40 a.m. to 9:30 a.m. The probability that a randomly chosen employee reports to work between 9:00 and 9:10 is:
40%
20%
10%
30%
16.7%
2. Suppose that the times requ

The area under thenormal curve between z=1 and z=2 is ________________ the area under thenormal curve between z=2 and z=3.
A. Greater than
B. Less than
C. Equal to
D. A, B or C above dependent on the value of themean
E. A, B or C above dependent on the value of the standard deviation
Essay Type Questions Please s

In a random sample of 62 bolts, themean length was 1.87 inches and the standard deviation was 0.07 inch. Use a normal distribution or a t-distribution to construct a 90% confidence interval or themean.
Which distribution should be used to construct the 90% confidence interval?
A. Use a normal distribution because the len

A machine cuts plastic into sheets that are 30 feet (360 inches) long. Assume that thepopulation of lengths is normally distributed.
a) The company wants to estimate themean length the machine is cutting the plastic within 0.25 inch. Determine the minimum sample size required to construct a 90% confidence interval or the

The true length of boards cut at a mill with a listed length of 10 feet is normally distributedwith a mean of 123 inches and a standard deviation of 1 inch. What proportion of the boards will be over 125 inches in length?

In the following exercise, (a.) use the simplex method to solve the problem and (b.) explain what the values of the slack variables in the optimal solution mean in the context of the problem.
1. A manufacturer of bicycles builds one, three, and ten-speed models. The bicycles are made of both aluminum and steel. The company

The number of column inches of classified advertisements appearing on Mondays in a certain daily newspaper is normally distributedwith a populationmean of 320 and a population standard deviation of 20 inches.
1. Referring to the table above, for a randomly chosen Monday, what is the probability there will be less than 340

The diameters of oranges in a certain orchard are normally distributedwith a mean of 5.26 inches and a standard deviation of 0.50 inches.
a. What percentage of the oranges in this orchard have diameters less than 4.5 inches?
b. What percentage of the oranges in this orchard is larger than 5.12 inches?
c. A random sample

Assume that the population of heights of male college students is approximately normally distributed with mean m of 69.09 inches and standard deviation s of 4.71 inches. A random sample of 92 heights is obtained. Show all work.
(A) Find p(x>68.5)
(B) Find themean and standard error of the distribution
(C) Find p(x