I need help with stats, please help me solve this with TI-84 calculator, section 7.2 and 7.3

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least

758

hours. A random sample of

28

light bulbs has a mean life of

737

hours. Assume the population is normally distributed and the population standard deviation is

59

hours. At

=0.02,

do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e).

a) write out the null and alternative hypothesis, please state which one is the claim:

b) identify the critical value(s). Use technology (we are told to use Invnorm)

Zo=_______________ (critical value)

(use a comma to separate answers as needed. Round to two decimal places needed)

Identify the rejection region(s) draw are graph, showing the rejected region

c) identify the standardized test statistic. Use technology.

Z=________________ (round to 2 decimals places needed)

d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.

A. Reject Ho. There is not sufficient evidence to reject the claim that mean bulb life is at least 758 hours.

B. Reject Ho. There is sufficient evidence to reject the claim that the mean bulb life is at least 758 hours.

C. FAil to reject Ho. There is sufficient evidence to reject the claim that mean bulb life is at least 758 hours.

D. FAil to reject Ho. There is not sufficient evidence to reject the claim that mean bulb life is at least 758 hours.