- Question 4 A Population Of Values Has A Normal Distribution With 232 7 And A 83 3 You Intend To Draw A Random Sam 1 (20.2 KiB) Viewed 29 times
- Question 4 A Population Of Values Has A Normal Distribution With 232 7 And A 83 3 You Intend To Draw A Random Sam 2 (41.64 KiB) Viewed 29 times
- Question 4 A Population Of Values Has A Normal Distribution With 232 7 And A 83 3 You Intend To Draw A Random Sam 3 (43.48 KiB) Viewed 29 times
Question 5 < > Note: For any part below, if it cannot be answered, enter NA. A quality control company was hired to study the length of meter sticks produced by a certain company. The team carefully measured the length of many many meter sticks, and the distribution seems to be slightly skewed to the right with a mean of 100.15 cm and a standard deviation of 0.14 cm. a) What is the probability of finding a meter stick with a length of more than 100.23 cm? b) What is the probability of finding a group of 14 meter sticks with a mean length of less than 100.12 cm? I c) What is the probability of finding a group of 42 meter sticks with a mean length of more than 100.17 cm? d) What is the probability of finding a group of 26 meter sticks with a mean length of between 100.14 and 100.16 cm? e) For a random sample of 40 meter sticks, what mean length would be at the 92nd percentile?
Salaries for teachers in a particular state have a mean of $ 51000 and a standard deviation of $ 4900. Hint for parts a and b What does the Central Limit Theorem tell you about how the is distributed and if we know nothing about the original distribution what does the sample size need to be in order for its to be normal? a. If we randomly select 19 teachers from that district, can you determine the sampling distribution of the sample mean? ? O 2 If yes, what is the name of the distribution? The mean? The standard error? b. If we randomly select 77 teachers from that district, can you determine the sampling distribution of the sample mean? ? 8 If yes, what is the name of the distribution? The mean? The standard error? c. For which sample size would I need to know that population distribution of X, teacher salaries, is normal in order to answer? Hint for part c d. Assuming a sample size of 77, what is the probability that the sampling error is within $1000. (In other words, the sample mean is within $1000 of the true mean.) Hint for d