A local dairy conducted taste tests of their nonfat and low fat cream cheese spreads at three supermarkets on one Saturday. They asked people to compare a cracker with their low fat spread on it and another cracker with the nationally known brand of the same type of spread.

At one supermarket, everyone who came to the testing table, located just inside by the front door, and asked to participate was included. At a second market, only people who appeared to be older teenagers and adults were allowed to participate. The testing table was in the section of the store where paper goods are sold. At the third store, the testing table was in the dairy section and everyone who was asked to participate was included. However, they ran out of one of the products and had to stop the test three hours earlier than they planned.

The table below shows how many people were tested at each location and their stated preferences

Store A Store B Store C
Number tasters = 258
Number preferring local brand = 167 Number tasters = 315
Number preferring local brand = 151 Number tasters = 152
Number preferring local brand = 90
Did this taste test use random sampling? In two or more complete sentences, justify your answer based on facts provided in the description and your understanding of random sampling.
Calculate the proportion of tasters who preferred each option at each location. Include estimates for Store A, Store B, and Store C.

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation:

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2

the answer would be a 24

step-by-step explanation:

c=2πr=2·π·3=24