Acrylic bone cement is sometimes used in hip and knee replacements to fix an art

Question

Acrylic bone cement is sometimes used in hip and knee replacements to fix an artificial joint in place. The force required to break an acrylic bone cement bond was measured for n = 6 specimens under specified conditions, and the resulting mean and standard deviation were 304.39 Newtons and 41.17 Newtons, respectively. Assuming that the breaking force under these conditions has a distribution that is approximately normal, construct a 98% confidence interval for the true average breaking force, " f ", of the acrylic bone cement under the specified conditions.
Note: you should carry at least 5 decimal precision for any intermediate calculations then round your answer as indicated in the problem

____ f ____ newtons
Note: Round your these endpoints to the nearest whole number.

Explanation / Answer

given mean =304.39

n=6

standard deviation s = 41.17

98% c.i we have Z a = 2.326 from standard z table

X^+- Za*S/sqrt n

304.39+ - 2.326* (41.17/sqrt6)

303.39+-2.326*16.8 0758

303.39+39.25311<f<303.39-39.25311

342.64311<f<264.13689

now rounding of

343<f<264

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