What z-score corresponds to the sample mean

Reference no: EM13995633

When a production machine is properly calibrated, it requires an average of 25 seconds per unit produced, with a standard deviation of 3 seconds. For a simple random sample of n 5 36 units, the sample mean is found to be }x 5 26.2 seconds per unit.

a. What z-score corresponds to the sample mean of }x 5 26.2 seconds?

b. When the machine is properly calibrated, what is the probability that the mean for a simple random sample of this size will be at least 26.2 seconds?

c. Based on the probability determined in part (b), does it seem likely that the machine is properly calibrated? Explain your reasoning.

Reference no: EM13995633

Questions Cloud

Problem regarding the consumer relations representative : As a project for their high school mathematics class, four class members purchase packages of a leading breakfast cereal for subsequent weighing and comparison with the 12-ounce label weight. The students are sur- prised when they weigh the con..

What is the sample proportion : a. What is the sample proportion, p 5 proportion of contacts that resulted in a sale being made? b. For simple random samples of this size, what is the probability that p # 0.10?

Average deviation from perfect accuracy : If the manufacturer's claim is correct (i.e., µ, 5 30 seconds, a 5 10 seconds), what is the probability that the average deviation from perfect accuracy would be 34 seconds or more?

What is the velocity of the box as it leaves the table : Find the accleration of the box during the sliding period. What is the velocity of the box as it leaves the table. What horizontal distance (R) from the table will the block reach when it hits the ground.

What z-score corresponds to the sample mean : When a production machine is properly calibrated, it requires an average of 25 seconds per unit produced, with a standard deviation of 3 seconds. For a simple random sample of n 5 36 units, the sample mean is found to be }x 5 26.2 seconds per unit..

Modify the program to add a function to sum the rainfall : Modify the program to add a function to sum the rainfall for each year. (Hint: you need to sum for each year. You can do this using a looping structure). Support your experimentation with screen captures of executing the new code

What will be the frequency when the block is displaced : A 2.00-kg block is attached to the end of a horizontal ideal spring and rests on a frictionless surface. What will be the frequency when the block is displaced and released from rest again?

What speed can this car travel around curve b : Two banked curves have the same radius. Curve A is banked at 12.1o, and curve B is banked at an angle of 15.1 o. A car can travel around curve A without relying on friction at a speed of 13.1 m/s. At what speed can this car travel around curve B wi..

Find the vertical displacement : Find the vertical displacement D(t) between the raised hands of the two players for the time period after Boris has jumped (t>tR) but before Arabella has landed.Express your answer in terms of t, tR, g, and H.

User Account

All Pages