Students were given a pre-test. Then after they listened to a certain type of music they were given a similar post test. If we define the difference as the post test score minus the pre test score and we find a 95% confidence interval for the mean of the differences to be [-1.34, 4.56]. Which of the following is true? It seems like music has affected the scores and the post test scores are significantly higher. It seems like music has affected the scores and the post test scores are significantly lower. There seems to be insufficient evidence to show that music affected the scores since zero is in the confidence interval. The average scores in the post test were on average about 4.56 points higher than the pre-test.

The only one that is true is:

"There seems to be insufficient evidence to show that music affected the scores since zero is in the confidence interval."

Step-by-step explanation:

It seems like music has affected the scores and the post test scores are significantly higher. It seems like music has affected the scores and the post test scores are significantly lower.

False. Although the sample results show a higher value in the post test scores, the confidence interval is what gives estimations about the population. As the value 0 and negative values are included in the interval, the difference of scores is not evidently more than 0.

There seems to be insufficient evidence to show that music affected the scores since zero is in the confidence interval.

True. If there was enough evidence to show that music affected the scores, both bounds of the confidence interval should be negative (the music lowers the scores) or positive (the music improves the scores).

The average scores in the post test were on average about 4.56 points higher than the pre-test.

False. The average scores in the post test can not be 4.56 points higher than the pre-test because this is the value of the upper bound of the confidence interval.

The difference between the two averages is the average of the bounds of the confidence interval: (4.56+(-1.34)/2 = 1.61.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

people grow faster than other people.

step-by-step explanation:

should you really be posting this isn't math boi.