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------------------------------------------------ The resistances of ten randomly selected 100-ohm resistors have been recorded: 79.9, 85.9, 87.0, 96.7, 107.4, 100.8, 115.4, 117.9, 98.0, and 102.6. The individual resistances are known to follow a normal distribution with a mean of 100 ohms and a standard deviation of 10 ohms.

(a) Calculate the sample mean resistance associated with the ten resistors.

The sample mean resistance of the ten resistors is calculated by summing their individual resistances and dividing by ten, resulting in a sample mean resistance of 99.16 ohms.

Explanation:

To calculate the sample mean resistance of the ten resistors, we add up all the recorded resistances and divide the sum by the total number of resistors.

The resistances are: 79.9, 85.9, 87.0, 96.7, 107.4, 100.8, 115.4, 117.9, 98.0, and 102.6 ohms.

Summing these values gives us:

79.9 + 85.9 + 87.0 + 96.7 + 107.4 + 100.8 + 115.4 + 117.9 + 98.0 + 102.6 = 991.6 ohms

Now, dividing the total resistance by 10 (the number of resistors), we get the sample mean:

991.6 / 10 = 99.16 ohms

Therefore, the sample mean resistance associated with the ten resistors is 99.16 ohms.