A machine used to fillgallon-sizedpaint cans is regulated so that the amount of paint dispensed has a mean of

140

ounces and a standard deviation of

0.40

ounce. You randomly select

35

cans and carefully measure the contents. The sample mean of the cans is

139.9

ounces. Does the machine need to bereset?Explain your reasoning.

,

it is

very unlikely

likely

that you would have randomly sampled

35

cans with a mean equal to

139.9

ounces,because it

lies

does not lie

within the range of a usualevent,namely within

1 standard deviation

2 standard deviations

3 standard deviations

of the mean of the sample means.