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The liquid chlorine added to swimming pools to combat algae hasa relatively short shelf life before it losesits effectiveness.Records indicate that the mean shelf life of a jug of chlorine is2180 hours. An experiment was conducted in which an additive,'Holdlonger' was added to the jugs of chlorine in an attempt toincrease its shelf life. The following data represent the shelflife (in hours) of nine jugs of chlorine with the Holdlongeradded:

2172
2153
2157
2158
2179
2164
2154
2178
2168

(a)What assumption is required in order to proceed with ahypothesis test with this data? (Check all that apply)

A. Is dependent
B. Comes from a standard normal population
C. Comes from a normal population
D. Comes from a random sample

(b) Will the data follow a normal distribution?  ? YesNo
Report the P-value of the normality test:
(c)State the hypotheses which would be tested in thisexperiment.

A. H0:μ=2180H0:μ=2180,HA:μ>2180HA:μ>2180
B. H0:μ≥2180H0:μ≥2180,HA:μ<2180HA:μ<2180
C. H0:μ=2180H0:μ=2180, HA:μ≠2180HA:μ≠2180
D. H0:μ=2180H0:μ=2180,HA:μ<2180HA:μ<2180
(d) Reject the null hypothesis (α=0.08α=0.08) if the test statistic(x¯−2180s/n√x¯−2180s/n) is  ? greater than lessthan  

. Use three decimals.

(e) Calculate the test statistic from this data.

Use two decimals.

(f) What is the p-value?

Input numerical answers to four decimal places.

(g) Should you reject the null hypothesis?  ? YesNo