Question

Test the signficance of the correlation coefficient at a=0.05

Does incubation or gestation time affect animal's average lifespan? Some animal have lifespans that average well over 100 years. The following table lists animals that have some of the longest lifespans on the earth. is there a correlation between an animal's gestation/incubation period and their average lifespan in years.  

Animal	Average Lifespan ( in Years)	Incubation/Gestation (in months)
Nile Crocodile	100	3
Aldabra Giant Tortoise	152	8
Lake Sturgeon	152	0.25
Galapagos Tortoise	177	4.7
Bowhead Whale	211	13.5

Answer 1

(x-x) 8.3521 4.4521 31.8096 1.4161 57.9121 103.9420 SSX (x-x)(y-y) 168.7760 13.5040 36.0960 22.1340 400.2860 569.5200 S.No (y-y) 3.00 8.00 0.25 4.70 13.50 29.45 5.8900 100.00 152.00 152.00 177.00 211.00 792 158.4000 3410.5600 40.9600 40.9600 345.9600 2766.7600 6605.2000 SSY 2 4 Total Mean null hypothesis Alternate Hypothesis for 0.05 level,two tailed test and n-2 3 degree of freedom, critical t- Decision rule: 3.182 reject Ho if absolute value of test statistic lt| >3.182 correlation coefficient rS(Vs "Sy - 0.687 test statistic: 1.64

here as test statistic is not in critical region we can not rject null hypothesis

we do not have sufficient evidence at 0.05 level to conclude that incubation or gestation time affect animal's average lifespan