Question Number 3: An engineer measured the Brinell hardness of 25 pieces of ductile iron that were sub critically annealed. The resulting data were: 170 167 174 179 179 187 179 183 179 156 163 156 187 156 167 156 174 170 183 179 174 179 170 159 187 Test hypothesis that the mean Brinell hardness of all such ductile iron pieces is greater than 170.

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A: See below the answer

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A: Here we use upperbound of cosine function.

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A:

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A: Let us find the value of f'(2.2) by using the mentioned method in the next steps.

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A:

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A:

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A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: The given data x -4 -1 0 2 5 y 1245 33 5 9 1335

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A:

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.