1. In the video game Final Fantasy VII: Remake, one protagonist is named Tifa Lockhart, and the damage she dishes out with her punches are normally distributed with a mean of 19 and a standard deviation of 7. During a battle, if Tifa delivered 97 punches, what is the probability that the average punch damage was between 18 and 21.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1. In the video game Final Fantasy VII: Remake, one protagonist is named Tifa Lockhart,
and the damage she dishes out with her punches are normally distributed with a mean
of 19 and a standard deviation of 7. During a battle, if Tifa delivered 97 punches, what
is the probability that the average punch damage was between 18 and 21.
2. InnerSloth continue to update their popular video game Among Us.2 Scraping their
server logs, we have the sample data below. For the number of players, the sample
statistics include a mean of about 7.7778 players and a standard deviation of about
1.3017 players. For the game times, the sample statistics include a mean of about
407.5556 seconds and a standard deviation of about 68.4235 seconds. The correlation
between the number of players and the game time is about 0.9012.
(a) Build a linear regression model for the sample data.
(b) Use the model to predict the length of a game that has nine players.
Players Time
6
353
312
315
420
464
404
423
482
495
6
7
8
8
8
8
9
10
Transcribed Image Text:1. In the video game Final Fantasy VII: Remake, one protagonist is named Tifa Lockhart, and the damage she dishes out with her punches are normally distributed with a mean of 19 and a standard deviation of 7. During a battle, if Tifa delivered 97 punches, what is the probability that the average punch damage was between 18 and 21. 2. InnerSloth continue to update their popular video game Among Us.2 Scraping their server logs, we have the sample data below. For the number of players, the sample statistics include a mean of about 7.7778 players and a standard deviation of about 1.3017 players. For the game times, the sample statistics include a mean of about 407.5556 seconds and a standard deviation of about 68.4235 seconds. The correlation between the number of players and the game time is about 0.9012. (a) Build a linear regression model for the sample data. (b) Use the model to predict the length of a game that has nine players. Players Time 6 353 312 315 420 464 404 423 482 495 6 7 8 8 8 8 9 10
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