Which of the following is not true? choose the correct answer below. a. if values are converted to standard z-scores, then procedures for working with all normal distributions are the same as those for the standard normal distribution. b. a z-score is an area under the normal curve. c. a z-score is a conversion that standardizes any value from a normal distribution to a standard normal distribution. d. the area in any normal distribution bounded by some score x is the same as the area bounded by the equivalent z-score in the standard normal distribution.

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

How can writing phrases as algebraic expressions you solve problems?

On the way home from visiting his family, vincent’s plane cruised at an altitude of 3.2 × 10^4 feet. he had heard that a man named felix baumgartner skydived from an altitude of 1.28 × 10^5 feet. vincent wants to know how much higher felix went on his skydiving trip. question 1 you have already seen how adding numbers works in either scientific notation or standard notation. but can you subtract numbers in scientific notation and get the same results as subtracting in standard notation? to find out, first solve vincent’s problem in standard notation. part a write the cruising altitude of vincent’s plane in standard notation.