The average (or mean) amount of hours spent on social media per day is 2 hours and the standard deviation is 2 hours. Calculate the z scores for the following individual scores: Person 1 (X) = 1 hour, z = -0.5 Person 2 (X) = 3 hours, z= 0.5 Person 3 (X) = 4 hours, z= 1 Explanation: The formula for calculating a z-score is z = (x-μ)/σ, Where μ= mean of a distribution σ= standard deviation of a distribution z= standard score Where μ= 2 σ= 2 z= standard score Person 1 X= 1-hour z = x - μ/ σ= 1-2/2= -0.5 Person 2 X= 3-hour z = x - μ/ σ= 3-2/2= 0.5 Person 3 X= 4-hour z = x - μ/ σ= 4-2/2= 1 Using Table A in your book or the online z table, calculate the area under the z score (to the left of the mean) for Person 1, Person 2, and Person 3. Person 1 ________________ Person 2 ________________ Person 3 ________________
- The average (or mean) amount of hours spent on social media per day is 2 hours and the standard deviation is 2 hours. Calculate the z scores for the following individual scores:
Person 1 (X) = 1 hour, z = -0.5
Person 2 (X) = 3 hours, z= 0.5
Person 3 (X) = 4 hours, z= 1
Explanation:
The formula for calculating a z-score is z = (x-μ)/σ,
Where μ= mean of a distribution
σ= standard deviation of a distribution
z= standard score
Where μ= 2
σ= 2
z= standard score
Person 1
X= 1-hour z = x - μ/ σ= 1-2/2= -0.5
Person 2
X= 3-hour z = x - μ/ σ= 3-2/2= 0.5
Person 3
X= 4-hour z = x - μ/ σ= 4-2/2= 1
- Using Table A in your book or the online z table, calculate the area under the z score (to the left of the mean) for Person 1, Person 2, and Person 3.
Person 1 ________________
Person 2 ________________
Person 3 ________________
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