Question

The liquid chlorine added to swimming pools to combat algae has a relatively short shelf life before it losesits effectiveness. Records indicate that the mean shelf life of a jug of chlorine is 2180 hours. An experiment was conducted in which an additive, 'Holdlonger' was added to the jugs of chlorine in an attempt to increase its shelf life. The following data represent the shelf life (in hours) of nine jugs of chlorine with the Holdlonger added:

2172
2153
2157
2158
2179
2164
2154
2178
2168

(a)What assumption is required in order to proceed with a hypothesis 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?  ? Yes No
Report the P-value of the normality test:
(c)State the hypotheses which would be tested in this experiment.

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 less than  

. 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?  ? Yes No

Answer 1