6. On the west bank of Cabbage Tree Creek live a very rare, very endangered spec

Question

6. On the west bank of Cabbage Tree Creek live a very rare, very endangered species known as the woongoolamaloos. The harsh rains of this winter attracted fierce Wendigos who ate many of the woongoolamaloos. So as to escape the wrath of the angry Wendigos who suffered terrible indigestion after their woongoolamaloo feast, the woongoolamaloos decide to move to a new shrub on the east bank of the river Historical data suggests that the time it takes this species to cross the creek can be modeled as a normal distribution with a standard deviation of 5 minutes. If 35 woongoolamaloos were studied and the average time to travel across the creek was found to be 55 minutes, find a 90% confidence interval for the true mean time it takes the woongoolamaloo population to cross the river and find safety and security under the new shrub. Interpret your confidence interval

Explanation / Answer

SD= 5 MINS

MEAN = 55 MINS N =35

= M ± t(sM)

where:

M = sample mean
t = t statistic
sM = standard error = (s2/n)

Calculation

M = 55
t = 1.69
sM = (52/35) = 0.85

= M ± t(sM)
= 55 ± 1.69*0.85
= 55 ± 1.43

INTERVAL=(53.57,56.43)

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