In: Statistics and Probability
A random sample of 23 rabbits is found to have an average length of 43.6 cm and a standard deviation of 11.3 cm find the 80% confidence for the mean length for the entire population of rabbits which these were sampled.
Answer:
Given that,
A random sample of 23 rabbits is found to have an average length of 43.6 cm and a standard deviation of 11.3 cm.
Find the 80% confidence for the mean length for the entire population of rabbits which these were sampled:
i.e,
n=23
The mean()=43.6 cm
The standard deviation(S)=11.3 cm
At 80% level of significance:
=1-80%=1-0.80=0.2
The critical value at =0.2 is,
The 80% confidence interval is,
Therefore, the 80% confidence interval is (41.62, 45.58).