High-density lipoprotein (HDL) is sometimes called the "good cholesterol" because low values are associated with a higher risk of heart disease. According to the American Heart Association, people over the age of 20 years should have at least 40 mg/dL of HDL cholesterol. U.S. women aged 20 and over have a mean HDL of 55 mg/dL with a standard deviation of 15.5 mg/dL. Assume that the distribution is Normal.what percentage of women have low values of HDL? (40mg/ dL or less)(Fill in the blank below and round your answer to a whole number.)________% of women have low values of HDL

Answer:17% of women have low values of HDLStep-by-step explanation:We need to calculate the z-score of low HDL level in the distribution. z score can be calculated using the formula z=[tex]\frac{X-M}{s}[/tex] where X is women's cut-off level for low HDL(40 mg/dL)M is the mean HDL for US women aged 20 and over (55 mg/dL)s is the standard deviation (15.5 mg/dL)Putting these numbers in the formula, we get z=[tex]\frac{40-55.5}{15.5}[/tex] = -0.9677By looking the z table P(Z<−0.9677) =0.1666 Then, in order to find the corresponding percentile we compute:100×0.1666 = 16.66% ≈ 17%