from an Internet location and might be unsafe. Click for more defails | 100% Hei

Question

from an Internet location and might be unsafe. Click for more defails | 100% Heights of women have a bell-shaped distribution with a mean of 163 cm and a standard deviation of 6 cm. Using Chebyshev's theorem, what do we know about the percentage of women with heights that are within 3 standard deviations of the mean? What are the minimum and maximum heights that are within 3 standard deviations of the mean? At least 1% of women have heights within 3 standard deviations of 163 cm. (Round to the nearest percent as needed ) The minimum height that is within 3 standard deviations of the mean is cm The maximum height that is within 3 standard deviations of the mean is cm Enter your answer in each of the answer boxes

Explanation / Answer

Solution:-

=> At least (1-(1/3)^2)% = 89% of the data is within 3 standard deviation of the mean

=> The minimum height that is within 33 standard deviations of the mean is
145 cm.

Minimum:: 163-3*6 = 145 cm

=> The maximum height that is within 33 standard deviations of the mean is 181 cm.
Max:: 163 + 3*6 = 181 cm

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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