The answers I produced are bolded. I am stuck on question B. Thep-value is the probability of obtaining a... How do I find the hours? Would it be 7490 or 7154? Thanks in advance

Thequality-control manager at a compact fluorescent light bulb(CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7490 hours. The population standard deviation is 1,120hours. A random sample of 64 light bulbs indicates a sample mean life of 7,154 hours.

a. At the 0.05 level ofsignificance, is there evidence that the mean life is different from 7490hours?

a. Let be the population mean. Determine the nullhypothesis, H0, and the alternativehypothesis, H1.

H0: equals

=7490

H1: not equals

7490

What is the teststatistic?

ZSTAT= - 2.40

(Round to two decimal places asneeded.)

Whatis/are the criticalvalue(s)?

1.96,1.96

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

What is the finalconclusion?

A.

Reject H0. There isnot sufficient evidence to indicate that the mean life is different from 7490 hours.

B.

Failtoreject H0. There is sufficient evidence to indicate that the mean life is different from 7490 hours.

C.

Failtoreject H0. There isnot sufficient evidence to indicate that the mean life is different from 7490 hours.

D.

Reject H0. There is sufficient evidence to indicate that the mean life is different from 7490 hours.

b. Compute thep-value and interpret its meaning.

b. What is thep-value?

. 016

(Round to three decimal places asneeded.)

Interpret the meaning of thep-value.

Thep-value is the probability of obtaining a sample with a mean at least as extreme as

nothing ? hours, given that the (null or alternative) hypothesis is true.