For a population with mu = 600 and sigma = 100, find the z-score that correspond

Question

For a population with mu = 600 and sigma = 100, find the z-score that corresponds to X = 675. [Round to the nearest hundredths place if a decimal. If your calculated value is not identical to one of the values below, but within plus or minus 0.26 of an answer below, assume it's a rounding error and select the answer that is closest to your calculated value.] z = -1.75 z = -.85 z = 75 z = 1.25 the correct value of z is not listed in alternatives "a" through "d", even when taking into consideration a rounding error of plus or minus 0.26.

Explanation / Answer

X ~ N(600,10000) where E(X) = 600 and s.d. (X) = 100 i.e. Var(X) = 10000.

Hence Z = (X - 600) / 100 ~ N(0,1).

Hence Z-score corresponding to X= 675 is given by,

Z = (675 - 600) / 100 = 75 / 100 = 0.75.

Hence 3rd Option is the correct choice. (Ans).

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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