Question

Assume that a normal curve is a good model for this data set. If 10,000 more observations were collected, what percentage of the observations would be greater than 98.02? In other words, what percentage of the area under the normal distribution curve would lie above 98.02 on the x-axis?
A) 5.9%
B) 2.96%
C) 2.5%
D) 0.0%

Answer 1

The percentage of the area under the normal distribution curve would lie above 98.02 on the x-axis is 2.5 % , option C is the answer.

What is Normal Distribution ?

Normal Distribution is a probability distribution which is symmetric about the mean , The frequency is more near the mean and less far from the mean.

It is given in the data that

10,000 more observations were collected

the percentage of the observations would be greater than 98.02 = ?

According to the 68-95-99.7 rule,

It states that approximately

68% of the observations lie within σ of µ

95% of the observations lie within 2σ of µ.

99.7% of the observations lie within 3σ of µ.

The percentage of the observation between various intervals is attached in the image in the answer.

2.1 percent of the population is distributed in the intervals between two and three standard deviations , which is the zone above 2SD and below 3SD.

As 2.1 % is approximate , Therefore from the given option , 2.5%

The percentage of the area under the normal distribution curve would lie above 98.02 on the x-axis is 2.5 % , option C is the answer.

To know more about Normal Distribution

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