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.