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nsbegay2007
13.02.2020 •
Mathematics
Suppose the total number of hours adult women sleep in a day are normally distributed with a mean of 7.8 hours and a standard deviation of 1.2 hours. What number of hours represents the 90th percentile?
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Ответ:
9.342 hours represents the 90th percentile
Step-by-step explanation:
Since the total number of hours that adult women sleep in a day are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = number of hours.
µ = mean
σ = standard deviation
From the information given,
µ = 7.8 hours
σ = 1.2 hours
The 90th percentile is 90/100 = 0.9
Looking at the normal distribution table, the corresponding z score is 1.285
For z = 1.285,
1.285 = (x - 7.8)/1.2
Cross multiplying by 1.2, it becomes
1.2 × 1.285 = x - 7.8
1.542 = x - 7.8
x = 1.542 + 7.8
x = 9.342
Ответ:
8 feet
Step-by-step explanation:
the length still remains the same regardless of the scale