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A group of students performs an experiment many times, and together they determine that the mean...

A group of students performs an experiment many times, and together they determine that the mean value of the result is 9.2 m, and the standard deviation is 0.4 m. If they were to perform the measurement 300 times, about how many times would they expect their result to fall within the range 8.4 m to 10 m?

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From the given data, The mean distribution is, μ 9.2 The standard deviation is, σ-0.4 m The number of times is, n 300 times From the Empirical rule, calculate the probability range within 8.4m to 10m at three standard rangesP(μ-20 P(μ-3σ μ + 2O) 0.9545-95.4590 μ +3σ) ~ 0.9973-99.7390 Z ZFrom the above expression, Z is the observation. Calculate the probability range between 8.4 mo 10 m.P(8.4sZs10) P(9.2-0.83Zs 9.2+0.8) P(9.2-2(0.4)sZ s9.2+2(0.4)) 0.954:5 95.4590Write the expression to calculate the expected number of time that the result lies in the given rangeExpected number of timesnP 300 (0.9545) 286.35 286

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