In 2011, the average amount of time to foreclose on a house in the U S was repor

Question

In 2011, the average amount of time to foreclose on a house in the U S was reported to be 438 days. Assume that the standard deviation for this population is 126.5 days. A random sample of 50 homes that have completed the foreclosure process was selected. What is the probability that the sample average was less than 450 days? 0.0129 0.6179 0.7486 0.8686 A statistics class has 140 students of which 55% are female. A random sample of 40 students was selected. What is the probability that 24 or more from this sample will be female? 0.0505 0.1469 0.2266 0.2611 The Central Limit Theorem (CLT) states that the sample means of any samples will be normally distributed regardless of the shape of the population distributions. sample means of large-sized samples will be uniformly distributed regardless of the shape of their population distributions. sample means of large-sized samples will be uniformly distributed regardless the shape of their population distributions. sample means of any samples will be uniformly distributed regardless of the shape of their population distributions. A common source of nonsampling errors is a survey that contains ambiguous questions in the eyes of the respondent. True False

Explanation / Answer

2. Here mean=438 and sd=126.5, n=50

We need to find P(xbar<450)=P(z<450-438/(126.5/srt(50))=P(z<0.67)=0.7486

3. Here p=0.55 and n=40, its binomial distribution, we need to find P(x>=24)=0.3185

4. Central Limit Theorem states that sample means of large-sized samples will be normally distributed regardless of the shape of their population distribution.

5. Its True

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

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