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hodyreva [135]
4 years ago
8

A scientist wishes to estimate the mean breaking strength of a certain type of steel rod within 3.0 psi with 95% confidence. Bas

ed on experience with a similar type of steel, she believes the standard deviation is approximately 15.0 psi in individual breaking strengths. How many steel rods should she test?
Mathematics
1 answer:
yaroslaw [1]4 years ago
6 0

Answer:97 rods

Step-by-step explanation:

The number of steel rods for 95% confidence level

n=\left ( \frac{Z_\frac{\alpha }{2}\times \hat{\sigma }}{E} \right )^2

Z_\frac{\alpha }{2}=1.96

E=3

\hat{\sigma }=15

Substituting values

n=\left ( \frac{1.96\times 15}{3}\right )^2

n=96.04\approx 97

Thus 97 rods is tested

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