Question

The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of: μ = 473 and a standard deviation of: σ = 28. According to the standard deviation rule, almost 0.15% of the students spent more than what amount of money on textbooks in a semester?

Answer 1

Answer:

Step-by-step explanation:

Given data:

$\mu = 473$

standard deviation is $\sigma= 28$

As distribution is normal in shape and values are symmetrical

The standard deviation rule says that 95% of observation lies between the second standard deviation of the mean

so, approximately only 5% of observation lies outside the interval and normal shape is symmetric. hence approximately 0.15% of observation lies above the interval

             $= \mu + 2\times \sigma$

             $= 473 + 2\times 28 = 529$

almost 0.15% of students spent more amount is 529