A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 5.2 inches and standard deviation of 0.7 inches. If a sample of 42 items are chosen at random, what is the probability the sample's mean length is greater than 5.2 inches? Round answer to four decimal places.

The cost of textbooks is normally distributed with a mean of $204. You do not know the population standard deviation, but you know the sample standard deviation to be $40.What is the probability that from a sample of 5 textbooks, their average cost will be less than $248? (Report answer accurate to three decimal places.)

A rugby team from the country of Atlantis is formed by randomly drawing from its population. The population distribution is normally distributed with a mean of 165 cm and a standard deviation of 10 cm. The team draws 26 people for the team. What is the probability that the sample mean is less than 163? Give your answer to four decimal places.

The cost of textbooks is normally distributed with a mean of $239. You do not know the population standard deviation, but you estimate the sample standard deviation to be $47.What is the probability that from a sample of 7 textbooks, their average cost will be between $204 and $270? (Report answer accurate to three decimal places.)

A particular fruit's weights are normally distributed, with a mean of 439 grams and a standard deviation of 7 grams. If you pick one fruit at random, what is the probability that it will weigh between 422 grams and 441 grams. Round your answer to three decimal places.

For a random sample of 10 men, the mean head circumferences are x-bar = 57.3 cm, and the sample standard deviation is s = 2cm. what is the standard error of the mean?

If we meet these conditions, the sampling distribution of the mean will have a normal shape and ... The mean of the sampling distribution will be u, (i.e., the same as the population mean) and the standard deviation of the sampling distribution will be (that's the population standard deviation divided by the square root of the sample size). In the AP Stats Guy video, he talks about the number of text messages his students send during class. Suppose the average number of text messages his students send during class is u = 30 text messages. If we take samples of say, n = 36 students at a time, we would expect the mean of the sampling distribution we create to be the same as the population mean, 30 text messages. If we can further say that standard deviation of the number of text messages is 12 text messages, by how much would we expect the sample means to vary? (hint, use the formula above) text messages

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3282 grams and a variance of 349,281. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4227 grams. Round your answer to four decimal places. Answer esc If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key. alt gle. 1 1 9 a Z F @ 2 W S X # 3 e d C C $ 4 r f % 5 V t Normal Table-to-z Normal Table - to z Oll 6 g L b y hp h & 7 。。 * u n * 8 N ( 9 m j|k الالال O < O alt р Tables ctrl Keypad Keyboard Shortcuts. Submit Answer [ اااك AD + = ? 1 Oct 28 1:47 0 backspace 1 USE YOUR SMARTPHONE FOR Reviews Videss-Features Specs Support