Astudy was conducted to find out if a new exercise program was more effective than an old one at improving cardiovascular fitness. subjects were randomly selected to participate and then randomly assigned to one of the two programs. after six months of exercising, they were given a score based on their fitness performance. scores ranged from 19 to 73, with higher scores indicating higher performance. which of the following hypothesis tests would be best for this study?

a) paired data test
b) independent sample test
c) anova
d) test of two proportions
e) chi-squared test of independence
f) hypothesis test for regression

 (B)

Step-by-step explanation:

An independent sample test compares two sample means in order to determine the statistical significance of the difference between their population means.

The independent sample test would be the best hypothesis test for this study because:

1. There was a random samples of data from the population

2. There was no relationship between the subjects in each sample. That is;

- subjects in the first group were not also in the second group

- subjects in the first group did not influence subjects in the second group and vice versa.

3. There was independence of observations in this study. Each subject in each group was separately observed and each subject has a given fitness performance score.

4. There are values on both the dependent and independent variables.

- the dependent variable is FITNESS PERFORMANCE and for each subject, it is dependent on either the OLD EXERCISE PROGRAM or the NEW EXERCISE PROGRAM.

5. Our dependent variable her is a continuous variable as we see from the range of fitness scores. The lowest score is 19 and the highest score is 73. This shows that the variable is continuous. All the other scores fall in between.

6. Our independent variable is a categorical variable. Categorized into OLD EXERCISE PROGRAM and NEW EXERCISE PROGRAM.

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:

answer is b

step-by-step explanation: