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Elementary Statistics: A Step by Step Approach 8th ed. | 8th Edition | ISBN: 9780073386102 | Authors: Allan G Bluman Professor Emeritus
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Warming and Ice Melt The average depth of the Hudson Bay

Chapter 8, Problem 1

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QUESTION:

Warming and Ice Melt The average depth of the Hudson Bay is 305 feet. Climatologists were interested in seeing if the effects of 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 3.57. Can it be concluded at the 0.05 level of significance that the average depth has increased? Is there evidence of what caused this to happen? Source: World Almanac and Book of Facts 2010.

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QUESTION:

Warming and Ice Melt The average depth of the Hudson Bay is 305 feet. Climatologists were interested in seeing if the effects of 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 3.57. Can it be concluded at the 0.05 level of significance that the average depth has increased? Is there evidence of what caused this to happen? Source: World Almanac and Book of Facts 2010.

ANSWER:

Step 1 of 4

Null hypothesis:

the claim is not valid , the average depth is not increased

And

Alternative hypothesis:

Claim is valid , Average depth is increased

level of significance.

at  level of significance

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