The Average Lifetime of a Light Bulb Is 3,000 Hours $\bar{x}$

question 127

Essay

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.
a.What are the expected value,standard deviation,and shape of the sampling distribution of $\bar{x}$ ?
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?
d.What is the probability that the average life in the sample will be less than 3,180.96 hours?

---

Definitions:

Confidence Interval

A depot of values, based on statistical sample analysis, envisaged to contain the value of a yet-to-be-discovered population parameter.

Nova Scotia Nurses

Registered nurses and nurse practitioners located in the province of Nova Scotia, Canada, who provide various healthcare services.

Unpopped Kernels

Corn kernels that fail to explode and transform into popcorn when heated, often due to insufficient moisture content or uneven heating.

Confidence Interval

Values range established from sample statistics, presumed to hold the value of an unseen population's parameter.