STATISTICAL TECHNIQUES AND TOOLS
CONFIDENCE INTERVALS
|
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
|
The height of women is normally distributed with an average height of 64 inches and a standard deviation of 2.5 inches. What interval contains 99.7% of all data?
|
|
61.5 to 66.5
|
|
|
56.5 to 71.5
|
|
|
59 to 69
|
|
|
2.5 to 99.7
|
Explanation:
Detailed explanation-1: -In this case, one standard deviation below the mean is 64.5-2.5 = 62 inches, and one standard deviation above the mean is 64.5 + 2.5 = 67 inches. Therefore, approximately 68% of women are between 62 inches and 67 inches.
Detailed explanation-2: -A height of 74” (X) is 2” below the Mean; 2” one Standard Deviation; so the Z-score associated with 72” is negative 1.
Detailed explanation-3: -The 95% Rule states that approximately 95% of observations fall within two standard deviations of the mean on a normal distribution.
There is 1 question to complete.