A study was performed on the sustainability behaviors of CPA​ corporations, based on the responses of1,254 senior managers. Corporate sustainability refers to business practices designed around social and environmental considerations. The level of support senior managers have for corporate sustainability was measured quantitatively on a scale ranging from 0 to 160 points. The study provided the following information on the distribution of levels of support for​ sustainability: μ=64​, σ=23. Now consider a random sample of 50 senior managers and let the x-bar represent the sample mean level of support.   Find P(x-bar>61).

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A study was performed on the sustainability behaviors of CPA​ corporations, based on the responses of1,254 senior managers. Corporate sustainability refers to business practices designed around social and environmental considerations. The level of support senior managers have for corporate sustainability was measured quantitatively on a scale ranging from 0 to 160 points. The study provided the following information on the distribution of levels of support for​ sustainability: μ=64​, σ=23. Now consider a random sample of 50 senior managers and let the x-bar represent the sample mean level of support.

 

Find P(x-bar>61).

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