Question

In: Statistics and Probability

A random sample of 23 rabbits is found to have an average length of 43.6 cm...

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.

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Expert Solution

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).


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