Question

A light bulb manufacturer claims that the mean life of a certain type of light bulb is 750 hours. If a random sample of 36 light bulbs has a mean life of 725 hours with a standard deviation of 60 hours. Use a=0.05

a. State the null and alternative hypotheses.
b. State the Type I and Type II errors.
c. Find the critical value. Do you have enough evidence to reject the manufacturer’s claim?
d. Find the p-value.
e. Construct a 95% confidence interval for the population mean.

Please show work if you can! Thank you!

Answer 1

a light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 720 hours.a random sample of 51 light bulbs as a mean of 712.8 hours with a population standard deviation of 62 hours at and a equals 0.05 can you support the company's claim using the test statistics?