Round answers to three decimal places, the nearest tenth of a percent, or neares

Question

Round answers to three decimal places, the nearest tenth of a percent, or nearest percentile.

Note: The 37th percentile can be written as P37

In the 2010 season, each college football team in the ACC played 8 conference games.

The average touchdowns scored per game was 5.5 with a standard deviation of 1.1.

For 1 – 3, find the probability of randomly selected 2010 ACC conference game scoring:

1. More than 7 touchdowns

2. Less than 3 touchdowns

3. Find the percent of games having less than 3 touchdowns.

4. 2010, FSU (ranked #23) humiliated the University of Miami (ranked #13), beating them 45 to 17. This high scoring ACC game (mostly by FSU) had 8 touchdowns. What percentile would this game be in, compared to the other ACC games?

5. Find the z-score for a game with 10 touchdowns.

6. One in how many games has 10 touchdowns or more? (Round to 2 significant digits.)

Explanation / Answer

We are allowed to do 4 subparts question at a time. Post again for more subparts of question.

1) Mean = 5.5

SD = 1.1

z = (7 - 5.5)/1.1

z = 1.36

P = 0.087

2)

z = (3 - 5.5)/1.1

z = - 1.36

P = 0.087

3) % = 8.69

4) z = (8 - 5.5)/1.1

z = 2.27

P = 0.0117

98.84 percentile or 99

5) z = (10 - 5.5)/1.1

z = 4.09

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