Q5) Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2. a. If the distribution is Normal, what is the probability that the sample mean hardness for a random sample of 9 pins is atleast 51? b. Without assuming population normlaity, what is the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51?

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A: n1 = 4620 n2 = 6228 x1 = 3.8 x2 = 2.4 s1 = 6.7 s2 = 4.6

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A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

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A: below i am providing the solution for the given problem

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A: Mean()=200standard deviation()=8.6

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.