or a sample of n = 46, find the probability of a sample mean being less than 23.

Question

or a sample of n = 46, find the probability of a sample mean being less than 23.3 if the population mean is 24 and population standard deviation is 1.25 3. Determine whether the statement is true or false. If it is false, rewrite it as a true statement. 4. As the size of a sample increases, the mean of the distribution of sample means increases. Fal 5. As the size of a sample increases, the standard deviation of the distribution of sample means increase 3 ak 6. A sample distribution is normal only if the population is normal.

Explanation / Answer

Mean is 24 and s is 1.25

for sample size of 46, the standard error SE=s/sqrt(N)=1.25/sqrt(46)=0.184

z is (xbar-mean)/SE

P(xbar<23.3)=P(z<(23.3-24)/0.184)=P(z<-3.8) =0 (from normal distribution table)

4. as sample size increases mean remains approximately same. so FALSE

5. As sample size increases the points get closer to the mean so standard deviation decreases. FALSE

6. no, if the experiement is performed a large number of times, the sample distribution is approximately normal

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

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