Problem regarding the simple random sample of size

Reference no: EM13975609

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: EM13975609

Questions Cloud

Find the rms currents in all three branches of the circuit : Find the fraction of the total average power supplied by the ac generator that is delivered to the load resistor if the frequency is 550 Hz. Find the fraction of the total average power supplied by the ac generator that is delivered to the load re..

Provide support for your response : Analyze how the different forces will come together to create a convergence between the interests of stockholders and managers indicating the most likely impact to profitability. Provide support for your response.

Analyze two primary sources related to your research topic. : For this assignment, you will find and analyze two primary sources related to your research topic. A primary source can be defined as anything created by someone involved in an event,

Determine the powers and roots of complex numbers : Derive a rule to estimate the network resistance when one of the resistors has a much smaller resistance than the other two and derive a rule to estimate the network resistance when two of the resistors have much smaller values.

Problem regarding the simple random sample of size : 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? Based on the probability determined in part (b), does it seem likely that the machine is properly..

Assume that the company is considering a merger : The possible merger currently faces some threats and that the industry decides on self-expansion as an alternative strategy, describe the additional complexities that would arise under this new scenario of expansion via capital projects.

How are the 19th century reforms related to each other : Would the reform movements of this period (Ex: prison reform, education reform, Temperance Movement, abolition, and women's rights) have progressed as they did without the influence of the Second Great Awakening and religion?

Represents a simple random sample : Albert has been given a quota of 220 calls for tomorrow, and he works an 8-hour day. Assuming that his list represents a simple random sample of those persons who could be called, what is the probability that Albert will meet or exceed his quota?

Shape of the population distribution : In 2009, the average fee paid by H&R Block tax preparation customers was $187. Assume that the standard deviation of fees was $60 but that we have no idea regarding the shape of the population distribution.

User Account

All Pages