Question

17. The average depth of the Hudson Bay is 305 feet. Climatologists were interested in seeing if the effects of global warming and ice melt were affecting the water level. Fifty-five measurements over a period of weeks yielded a sample mean of 306.2 feet. The population variance is known to be 3.6.

Can it be concluded at the 0.05 level of significance (alpha) that the average depth has increased?

NOTE: be sure to take the square root of a given Variance in the word problems to obtain the standard deviation and use that for your figuring

a. Support the claim statistically

b. Do not support the claim statisfically

Answer 1

The standard deviation is

Conclusion: There is evidence to support the claim statistically that the average depth has increased.