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As a process improvement engineer, you are developing standard time for an assembly process.  The operator takes 11 subcomponents, assembles them together, and sends them to the next workstation in the assembly line.  The time it takes the operator to complete their task is normally distributed with a mean of 4.6 minutes, and a standard deviation of 0.5 minutes.   Takt time is the time at which an operation must be complete in order to meet customer demand. The takt time for the entire assembly line is 4.9 minutes.  Management wants you to be 90% confident that the assembly process can meet the takt time.  Therefore, you improve the process in an attempt to lower the average completion time.  Assuming the standard deviation stays the same (0.5 minutes), how far must you reduce the average time to meet management’s request?

Although coal is sometimes considered a mineral, which criteria of minerals does it violate? (2 points)

Which statement describes the solar feature shooting off into space labeled C? (2 points)

Which statement describes the solar feature labeled A? (2 points)

Which of these is most likely to happen during a solar storm? (2 points)

As a process improvement engineer, you are developing standard time for an assembly process. The operator takes 11 subcomponents, assembles them together, and sends them to the next workstation in the assembly line.  The time it takes the operator to complete their task is normally distributed with a mean of 4.6 minutes, and a standard deviation of 0.5 minutes.  What is the probability that it takes the operator between 3 and 4 minutes to complete their task? Round your answer to the nearest thousandth.

Kepler and Newton studied the movement of planets. Kepler studied the speed of the planets while Newton studied the forces that kept the planets in place. Which of these statements best explains why the two scientists proposed different theories about the planets? (2 points)

You have been waiting on the campus bus outside of the library for nearly 10 minutes.  If a bus doesn’t arrive soon, you are going to start walking instead of taking the bus.  According to the MSU transit website, the time between arrivals at the library bus stop is exponentially distributed with a mean of 7 minutes.  What is the probability that a bus arrives in the next 5 minutes?  Round your answer to the nearest thousandth.

Given the equation P2 = A3, what is the orbital period, in years, for the planet Jupiter? (Jupiter is located 5.2 AU from the sun.) (2 points)

For a standard normal random variable,