The amount of cleaning solution a company fills its bottles with has a mean of of 33\,\text{fl oz}33fl oz33, start text, f, l, space, o, z, end text and a standard deviation of 1.5\,\text{fl oz}1.5fl oz1, point, 5, start text, f, l, space, o, z, end text. The company advertises that these bottles have 32\,\text{fl oz}32fl oz32, start text, f, l, space, o, z, end text of cleaning solution. What will be the mean and standard deviation of the distribution of excess cleaning solution, in milliliters?

(1\,\text{fl oz}(1fl ozleft parenthesis, 1, start text, f, l, space, o, z, end text is approximately 30\,\text{mL}.)30mL.)

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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