At intel, the thickness of processor chips has a mean of 1 mm with a standard deviation of 0. 2 mm. Multiple random samples, each consisting of 35 processor chips, are taken. The sample mean and standard deviation for each sample are recorded to form a sampling distribution. What is the mean and standard deviation of this sampling distribution?.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance.

The bigger the deviation within the data collection, the more the data points deviate from the mean; hence, the higher the standard deviation, the more dispersed the data.

Processor chips = 35

Let the x-bar be the sample mean

x-bar = 1 mm

Size of the processor chips = 0.2 mm

n = 35

Standard deviation = Size of the processor chips/[tex]\sqrt{n}[/tex]

= 0.2/[tex]\sqrt{35}[/tex]

= 0.2/5.9160

= 0.033

Standard deviation = 0.033

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