mathxl.com MAT 120D Statistics Fall 2017 Sam Giaquinto 12 Homework: Section 6.1

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mathxl.com MAT 120D Statistics Fall 2017 Sam Giaquinto 12 Homework: Section 6.1 Homework Lab Score: 0 of 1 pt 9 of 10 (6 complete) HW Score: s 6.1.46-T Home cements About ents urses Find the indicated area under the curve of the standard normal distibution; then convert it to a percentage and fill in the blank % of the area is between z =-2 and z = 2 (or within 2 standard deviations of the mean) About 96 (Round to two decimal places as needed.) of the area is between z=-2 and z = 2 (or within 2 standard deviations of the mean). an ok ch onten a Libra Option ols

Explanation / Answer

ans=

The way you can find this using a normal distribution table, or z-table, is by first looking at the value for z=2, which is 0.9773. This represents the area under the normal curve from negative infinity up to 2

Do this by looking at the z-table again and finding the value for z=-2, which is 0.0228.

But, according to the problem, we are only interested in values between -2 and 2, so we need to subtract the area under the curve from negative infinity up to -2

0.9773-.0.0228= 0.9545=95.45%

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