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The mean weight of King Penguins found in an Antarctic colony last year was 15.4 kg....

The mean weight of King Penguins found in an Antarctic colony last year was 15.4 kg. In a sample of 35 penguins same time this year in the same colony, the mean penguin weight is 14.6 kg. Assume the population standard deviation is 2.5 kg. The null hypothesis is that the mean penguin weight does not differ from last year.

Assume the population standard deviation is 2.5 kg. If we take a sample of size 35, what is the probability that the upper bound of the 95% confidence interval for population mean to be greater than 16?

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The probability that the upper bound of the 95% confidence interval for population mean to be greater than 16 is 0.0244.

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