Answer: 12
Step-by-step explanation:
Given : Students at a liberal arts college study for an average of 10 hours per week with a standard deviation of 2 hours per week.
[tex]\mu=10\text{ hours}[/tex] and [tex]\sigma=2\text{ hours}[/tex]
The distribution of their study time happens to be uni-modal, symmetric and bell shaped i.e. Normally distributed.
According to the Empirical rule , about 68% of the population lies within one standard deviation from mean .
i.e. Approximately 68% of students study between [tex]\mu-\sigma[/tex] and [tex]\mu+\sigma[/tex] hours a week.
i.e. Approximately 68% of students study between [tex]10-2[/tex] and [tex]10+2[/tex] hours a week.
i.e. Approximately 68% of students study between 8 and 12 hours a week.
Hence, the value of B = 12.
