The average income in a state was $54000 per person per year. suppose the standard deviation is $27000 and the distribution is right-skewed. suppose we take a random sample of 100 residents of the state. complete parts (a) and (b) below. what value should we expect for the sample mean? why? the expected sample mean is $because the type a whole number.) b. what is the standard error for the sample mean? the standard error for the sample mean is (type an integer or a decimal. do not round.)

Aculture started with 4,000 bacteria. after 5 hours, it grew to 5,200 bacteria. predict how many bacteria will be present after 19 hours. round your answer to the nearest whole number.

Which statements are true about box plots? check all that apply. they describe sets of data. they include the mean. they show the data split into four parts. they show outliers through really short “whiskers.” each section of a box plot represents 25% of the data.

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0