Question

The size (length) of a sample of ?? Atlantic cod caught in Sweden has a mean of ??.??? and standard deviation of ?.????. Construct a 95% confidence interval for the true mean and interpret your result.

Answer 1

t critical value at 0.05 level with 25 df = 2.06

95% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

49.9 - 2.06 * 3.74 / sqrt(26) < < 49.9 + 2.06 * 3.74 / sqrt(26)

48.39 < < 51.41

95% CI is ( 48.39 , 51.41)

Interpretation -

We are 95% confident that population meas is between lower bound of 48.39 and upper

limit of 51.41