Assume that the population of the heights of female collegestudents is approxima

Question

Assume that the population of the heights of female collegestudents is approximated normal distributio with mean of 70" and astandard deviation of 4.00". A random sample of 18 heights isobtained. Please show all work... a) find the proportion of female college students whose heightis greater than 68". b) find the mean and standard error of the meandistribution. c) find the P(mean>68). Assume that the population of the heights of female collegestudents is approximated normal distributio with mean of 70" and astandard deviation of 4.00". A random sample of 18 heights isobtained. Please show all work... a) find the proportion of female college students whose heightis greater than 68". b) find the mean and standard error of the meandistribution. c) find the P(mean>68).

Explanation / Answer

Given X~Normal(=70, =4), n=18 (a) P(X>68) = P((X-)/ >(68-70)/4) =P(Z>-0.5) =0.6914 (check normal table) (b)mean = =70 standard error of the mean distribution = /n =4/sqrt(18) =0.9428 (c)P(mean>68) = P((mean-)/(/n) >(68-70)/(4/sqrt(18))) =P(Z>-2.12) =0.983 (check normal table)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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