A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 600 hours. A random sample of 50 light bulbs has a mean life of 590 hours. Assume the population is normally distributed and the population standard deviation is 45 hours. Use alpha =0.05,

Write the Null and the Alternative hypothesis. (Use Ho for null and Ha for the alternative. Use <= for less than or equal to and >= for greater than or equal to and mu for the mean.)

Ho:.

Ha:.

Which hypothesis is the claim? (Type in Ho or Ha)

.

Find the z test.Round your answer to 2 decimal places. (Use:z=(x - )/(/n) )

.

Find the P value. Round your answer to 3 decimal places.

.

Make a decision. (Type in Reject Ho or Fail to reject Ho)

.