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.

ok then what happened.

answer: the sun

explanation:

water cycle describes the evaporation of water from earth's surface, formation of clouds and precipitation water back onto the surface of earth. seventy percent of the earth is covered with water in the form of seas and oceans. the heat of the sun causes the evaporation of water from the surface of the ocean. the water vapors rise and condense to form water droplets. the collection of these water droplets form clouds which rain down again.

the evaporation of the oceans surface water as part of the water cycle is caused by the sun