Noah is studying dogs to determine their interest in blue toys versus red toys. He splits a group of 20 dogs into 2 groups. One group is given blue toys and the other is given red toys. Noah has the dogs play with the toys until they lose interest. He finds that the dogs that had blue toys played with them 2 minutes longer than the dogs that played with red toys. Noah re-randomizes the data, calculates the difference between the means, and creates the dot plot shown below. Based on the data, can Noah conclude the difference is significant? (3 points) dot plot ranging from negative two to two in increments of point five with frequencies of two, three, four, five, six, nine, six, twelve, fifteen, twelve, nine, ten, five, four, three, and two respectively

No, Noah cannot conclude the difference is significant because a 2-minute difference is likely to happen by chance.

Yes, Noah can conclude the difference is significant because a 2-minute difference is not likely to happen by chance.

Yes, Noah can conclude the difference is significant because 0.25 is the difference in means that occurs most often.

No, Noah cannot conclude the difference is significant because 0.25 is the difference in means that occurs most often.

207/8 is the right

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages