The average breaking strength of a certain brand of steel cable is 2078 pounds, with a standard deviation of 135 pounds. A sample of 21 cables is selected and tested. Find the sample mean that will cut off the upper 95% of all samples of size 21 taken from the population. Assume the variable is normally distributed. Only the final answer should be rounded-off to TWO decimal places.

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The average breaking strength of a certain brand of steel cable is 2078 pounds, with a standard deviation of 135 pounds. A sample of 21 cables is selected and tested. Find the sample mean that will cut off the upper 95% of all samples of size 21 taken from the population. Assume the variable is normally distributed. Only the final answer should be rounded-off to TWO decimal places.

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