Answer:
the required number of samples to contain the population mean = 136
Step-by-step explanation:
From the Empirical rule, If a data is normally distributed, then about 68% of the population lies within one standard deviation from mean.
Now, if we suppose that the mean of a normally distributed population is 300, and 200 simple random samples are drawn from the population. i.e. μ = 300
And;
Number of simple random samples: n = 200
Thus, by implication, we would expect about 68% of 200 samples confidence intervals to contain the population mean .
Hence,
Required number of samples = 68% of 200
This gives ;
0.68 x 200 = 136
Thus , the required number of samples = 136
