Question

Fifty dash four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? Use a significance level of alpha equals 0.05. Correlation Results Correlation coeff, r: 0.968722 Critical r: plus or minus 0.2680855 P-value (two tailed): 0.000 Determine the null and alternative hypotheses. Upper H 0: rho ▼ greater than equals less than not equals nothing Upper H 1: rho ▼ equals less than greater than not equals nothing (Type integers or decimals. Do not round.)

Answer #1

From the given information,

The required correct answers are,

Null and alternative hypotheses:

H0: rho = 0

H1: rho ≠ 0

As P-value=0.000 which is less than 0.05(alpha)

Hence, Reject null hypothesis.

Conclusion:

There is a linear correlation between the weights of bears and their chest sizes.

Yes,When measuring an anesthetized bear, is it easier to measure chest size than weight.

Yes, measured chest size can be used to predict the weight.

Thank you.

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