3. A continuous population has a mean of 210.51 and a standard deviation of 10.3

Question

3. A continuous population has a mean of 210.51 and a standard deviation of 10.31. Suppose we know that the population is normally distributed. Compute the smallest interval centered on the mean that will contain 95% of the observations. a.(200.20, 220.82) b.(164.40, 256.62) c.(189.89, 231.13) d.(179.58, 241.44) 3. A continuous population has a mean of 210.51 and a standard deviation of 10.31. Suppose we know that the population is normally distributed. Compute the smallest interval centered on the mean that will contain 95% of the observations. a.(200.20, 220.82) b.(164.40, 256.62) c.(189.89, 231.13) d.(179.58, 241.44)

Explanation / Answer

Let X~ N(µ,2)

Then 95 % confidence intervalis given by [µ- .025,µ+ .025] = [µ-1.96,µ+1.96] = [189.89,231.13]

Hence option c is correct.

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