Hi,

Demonstrating Using TI Calculator

The syntax is normalcdf(smaller, larger, µ, σ).

Note: The -9999 is used as the smaller value to be at least 5 standard deviations from the mean.

P(x ≤ 16) = normalcdf(-9999, 16, 16, .7) = .5

For the normal distribution: 

one  standard deviation from the mean accounts for about 68.2% of the set 

two standard deviations from the mean account for about 95.4%

and three standard deviations from the mean account for about 99.7%.

Important to Understand z -values as they relate to the Standard Normal curve:

Below:  z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.  

Note: z = 0 (x value the mean) 50% of the area under the curve is to the left and 50% to the right



 

RELATED QUESTIONS

An important quality characteristic for softdrink bottlers is the amount of softdrink... (answered by Theo)

The weight of a sophisticated running shoe is normally distributed with a mean of 12... (answered by Boreal)

The mean weight of a box of cereal filled by a machine is 15.0 ounces, with a standard... (answered by stanbon)

The weights of bags of Maverick's Chocolate Candies are normally distributed with a mean... (answered by Boreal)

Pop can weights are normally distributed with a mean of 12 ounces and a standard... (answered by reviewermath)

There are 4000 mangoes in a shipment.  It is found that it a mean weight of 15 ounces... (answered by lynnlo)

Use the Empirical Rule to answer each question.

During 1 week an overnight delivery... (answered by Boreal)

Use the Empirical Rule to answer each question.

During 1 week an overnight delivery... (answered by Boreal)

A loaf of bread is normally distributed with a mean of 22 ounces and a standard deviation  (answered by stanbon)