Conservationists working in the Antarctic keep a close eye on the physical characteristics of King Penguins as it is one indicator of changes occurring in the surrounding ecosystem. One of the parameters they track is the average weight of these Penguins. Last year, the average weight was 15.4 kilograms. This year, a sample of 35 King Penguins yielded a sample mean of 14.6 Kg and a sample standard deviation of 2.5 Kg. At the 5% level of significance, can you conclude that the average penguin weight has changed from last year? [ show excel function and inputs]

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.