Normal distribution assignment PDF

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ENGR- 5332- NORMAL PROBABILITY L20478184

Normal Distribution Plot 2.5 2 1.5 1

f(x) = 2.1 x − 6.39 R² = 0.98

z

0.5 0 2 -0.5

2.2

2.4

2.6

2.8

3

3.2

3.4

3.6

3.8

4

3.2

3.4

3.6

3.8

4

-1 -1.5 -2 -2.5 observations

Chart Title 2.5 2 1.5 1

z

0.5 0 -0.5

2

2.2

2.4

2.6

2.8

3

-1 -1.5 -2 -2.5

Observations

ENGR- 5332- NORMAL PROBABILITY L20478184

Questions1. Does the data make a straight line? Yes, the data make a straight line. As in the plot shown above. That indicates that data is normally distributed.

2) Does the data in this set make a straight line? No, the data is not making a straight line.

3) How can this be the case? Though the data came from the normal distributed population the plot does not seems like normally distributed may be because we draw less number of samples from the population that affects the normal distribution graph. As we draw more samples the plot will more look like the normally distributed.

4) In your opinion, should we conclude that the sample data is normally distributed or that it is not? Why do you think so? AS we previously know that the data is normally distributed but from the sample plot we can not conclude that the data is normally distributed. As the data is not in the straight line and not enough close to form a straight line we can not say that the data is normally distributed....