An engineer measured the Brinell hardness of 25 pieces of ductile iron

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An engineer measured the Brinell hardness of 25 pieces of ductile iron. The engineer hypothesized that the mean Brinell hardness of all such ductile iron pieces is greater than170. The sample mean of the iron pieces is 172.52 and their standard deviation is 10.31.

Required:

 Test the hypothesis assuming a 0.05 level of significance. Draw the rejection region/s and interpret the result