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Nadya [2.5K]
1 year ago
9

1. There are 25 students who started computer programming in elementary school and 25 students who started computer programming

in middle school. The first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%.
The line plot shows the differences after 10 rerandomizations. Determine whether the difference in the means of the two groups is significant based on the line plot. Explain your answer.

Mathematics
1 answer:
guapka [62]1 year ago
4 0

the answer is attached below

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Answer:

1. Alexa traveled at a faster rate because the slope of her line is \frac{3}{4}, which is greater than the slope of the line described by the data in Mia’s table.

Step-by-step explanation:

We know that,

Slope of (x_{1},y_{1}) and (x_{2},y_{2}) is \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Mia records the distance traveled over the time by the table.

Taking the points (10,5) and (18,9), the slope is given by,

Mia's slope = \frac{9-5}{18-10}

i.e. Mia's slope = \frac{4}{8}

i.e. Mia's slope = \frac{1}{2}

Alexa records the distance traveled over the time by the graph.

Taking the points (4,3) and (8,6), the slope is given by,

Alexa's slope = \frac{6-3}{8-4}

i.e. Alexa's slope = \frac{3}{4}

As, Alexa's slope = \frac{3}{4} > \frac{1}{2} = Mia's slope.

So, the correct option is,

1. Alexa traveled at a faster rate because the slope of her line is \frac{3}{4}, which is greater than the slope of the line described by the data in Mia’s table.

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