Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Quiz: Ch 7 Review Remaining 004923 This Question: 1 p | 170125 (2complete) Assum

ID: 3357370 • Letter: Q

Question

Quiz: Ch 7 Review Remaining 004923 This Question: 1 p | 170125 (2complete) Assume that the sample is a simple random sample obtained from a normally distributed population of Slight delays at an airport. Use the table below to find the minn m sample size needed to be 95% confident that the sample standard deviation is within 1% of the population standard deviation A histogram of a sample of those arrival delays suggests that the distribution is skewed, not normal. How does the distribution affect the sample size? Tobe 95% confident that s is within | 1% 15%-10%TA0%130% 40% 0%1 of the value of o, the sample size n 19,205 768 192 48 21 12 8 should be at least To be 99% confident that s is with 1% % 10% 20% 30% 4 0% thevalue of , the sample size n p 33.21 1.336| 336| 85 | 38 | 22 | 14 should be at least The minimum sample size needed is A histogram of a sample of those arrival delays suggests that the distribution is skewed, not normal. How does the distribution affect the sample size? O A. The computed sample size should be multiplied by 2 B. The computed sample size should be divided by 2 O C. The computed minimum sample size is not likely correct O D. The computed minimum sample size is likely correct Click to select your answer(s) 0-54 AM 11/7/2017

Explanation / Answer

The minimum sample size needed is 19,205

Option C is right

as According to central limit theorem and Most statisticians agree that if n is at least 30, then this approximation will be reasonably close in most cases, although different distribution shapes for X have different values of n that are needed. The less “bell-shaped” or “normal looking” the distribution of the original values of Xare, the larger the sample size for the sample means will need to be. The larger the sample size (n), the closer the distribution of the sample means will be to a normal distribution.