11. Suppose the total time to fill a routine prescription at a local pharmacy is
ID: 2860921 • Letter: 1
Question
11. Suppose the total time to fill a routine prescription at a local pharmacy is 35 minutes based on the time the physician places the order to the time it is dispensed. Assume the standard deviation is 11 minutes. the z-score for x = 46 is ________.
1.0
-11
-1.0
11
.10
12. Suppose the total time to fill a routine prescription at a local pharmacy is 35 minutes based on the time the physician places the order to the time it is dispensed. Assume the standard deviation is 11 minutes. A z score was calculated for a number, and the z score is 3.4. What is x?
68.0
2.0.8
37.4
72.4
0.00
13. Suppose the total time to fill a routine prescription at a local pharmacy is 35 minutes based on the time the physician places the order to the time it is dispensed. Assume the standard deviation is 11 minutes and the z score is -1.3. What is x?
0.0
-14.3
-20.7
14.3
20.7
5. The area to the left of the mean in any normal distribution is equal to _______.
0.5
1
the mean
-0.5
the variance
6. A standard normal distribution has the following characteristics:
the mean is equal to the standard deviation
the mean and the variance are both equal to 1
the mean is equal to the variance
the mean and the variance are both equal to 0
the mean is equal to 0 and the variance is equal to 1
7. Let z be a normal random variable with mean 0 and standard deviation 1. What is P(z < 1.3)?
0.3485
0. 5485
0.4032
0.9032
0.0968
I want detailed explanations of these problems
1.0
-11
-1.0
11
.10
Explanation / Answer
(11)
we are given
x=46
mean =35
standard deviation = 11
so, we can use formula
z=(x-mean)/(standard deviation)
z=(46-35)/11
z=1........Answer
(12)
we are given
mean = 35
standard deviation = 11
z=3.4
we can use same formula
z=(x-mean)/(standard deviation)
3.4=(x-35)/11
x=72.4...........Answer
(13)
mean =35
standard deviation =11
z=-1.3
we can use same formula
z=(x-mean)/(standard deviation)
-1.3=(x-35) /11
x=20.7..........Answer
(5)
we know that area under normal distribution =1
and it is divided into two halfs
one area is left of mean
and another area is right of mean
so, The area to the left of the mean in any normal distribution is equal to 0.5............Answer
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