A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of ounces and a standard deviation of ounce. You randomly select cans and carefully measure the contents. The sample mean of the cans is ounces. Does the machine need to be reset? Explain your reasoning.

No, It is not necessary that the machine has to be reset

Step-by-step explanation:

The full question is "A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 126 ounces and a standard deviation of 0.40 ounce. You randomly select 40 cans and carefully measure the contents. The sample mean of the cans is 125.9 ounces. Does the machine need to be reset?"

The amount of paint that has dispensed has a mean of 126 ounces and a standard deviation of 0.40 ounce.

A sample of 40 cans is taken and this has a sample mean of 125.9 ounces

The z score is:

Z  = Х  - ц / (б/)

Z = 125.9 - 126  / 0.4 /

Z = -0.1  / 0.0632

Z = -1.58

The value of z-score is –1.58. It is not necessary that the machine has to be reset as, the z score value of randomly sampled 40 cans with a mean equal to 125.9 ounces is likely and lies within 2 standard deviations of the mean.

answer: 12

step-by-step explanation:

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.