levels: A national health survey measured the serum HDL cholesterol levels in a

Question

levels: A national health survey measured the serum HDL cholesterol levels in a large number of women. Following is a sample of 36 HDL levels (in milligrams per deciliter) that are based on the results of that survey. The list has been sorted into numerical order. 25 27 29 29 29 30 31 31 31 31 32 32 32 33 35 38 39 42 42 43 46 47 47 48 49 49 49 50 51 52 55 56 60 69 71 73 to Excel One woman had a cholesterol level of 46. What percentile is this? Round the answer to the nearest whole number. The percentile is

Explanation / Answer

We assume given data is normally distributed

Mean µ = 42.583
Sandard Deviation = 12.7

Cholestrol level X ~ Normal(µ = 42.583, = 12.7)

To find the percentile value for X = 46, we calculate z-score corresponding to X= 46
z-score of (X-µ)/
z-score of (46-42.583)/12.7
z-score of 0.27 = 0.6064
i.e. 60.64 percentile ~ 61 %ile rounded to earest whole number.

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.