This question assesses the ability to apply the empirical rule (68-95-99.7 rule) to a normal distribution with a given mean and variance to estimate the percentage of data within a specific interval.
Assuming a normal distribution with mean and variance , estimate the percentage of data that lies between 92 and 108.
[3]This question assesses the application of the empirical rule (68-95-99.7 rule) for a normal distribution to calculate statistical parameters.
Assuming a normal distribution with mean , 95% of data falls between 6.5 and 9.5. Calculate the variance.
[3]The distribution is approximately normal with mean . This question involves the application of the empirical rule (68-95-99.7 rule) for normal distributions to find the standard deviation and then the variance.
A distribution has mean and is approximately normal. If 68% of the data lies between 45 and 55, find the variance.
[3]