Question

It is known that body weights of ground squirrels are normally distributed with M = 400 g and standard deviation= 1 00g. The researcher is interested in knowing whether this weight is more variable when the ground squirrels live in more marginal habitats, where the quality and quantity of food vary more from place to place. He randomly selects and weighs 51 ground squirrels from the more marginal habitats and finds the mean to be 350 g, and standard deviation to be 105 g. Does the sample result confirm the hypothesis regarding the weight being more variable for such class of squirrels.

          It is known that body weights of ground squirrels are normally distributed
with M = 400 g and standard deviation= 1 00g. The researcher is interested
in knowing whether this weight is more variable when the ground squirrels live in more marginal habitats, where the quality and quantity of food vary more from place to place. He randomly selects and weighs 51 ground squirrels from the more marginal habitats and finds the mean to be 350 g, and standard deviation to be 105 g. Does the sample result confirm the hypothesis regarding the weight being more variable for such class of squirrels.

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Added by Alejandra G.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Adi S

07/07/2022

Step 1

\[ H_0: \sigma^2 = 100^2 = 10,000 \] - Alternative hypothesis \(H_1\): The variance of ground squirrel weights in marginal habitats is greater than the known variance (more variable). \[ H_1: \sigma^2 > 10,000 \] Show more…

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It is known that body weights of ground squirrels are normally distributed with M = 400 g and standard deviation= 1 00g. The researcher is interested in knowing whether this weight is more variable when the ground squirrels live in more marginal habitats, where the quality and quantity of food vary more from place to place. He randomly selects and weighs 51 ground squirrels from the more marginal habitats and finds the mean to be 350 g, and standard deviation to be 105 g. Does the sample result confirm the hypothesis regarding the weight being more variable for such class of squirrels.

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