The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs is taken. Show the steps you've used to obtain these answers.
a. What are the expected value, standard deviation, and shape of the sampling distribution of x ?
b. What is the probability that the average life in the sample will be between 2,670.56 and 2,809.76 hours?
c. What is the probability that the average life in the sample will be greater than 3,219.24 hours?
a. What are the expected value, standard deviation, and shape of the sampling distribution of x ?
b. What is the probability that the average life in the sample will be between 2,670.56 and 2,809.76 hours?
c. What is the probability that the average life in the sample will be greater than 3,219.24 hours?