1. Find the z-score for the following means taken from a population with mean 10 and standard deviation 2: a. X= 8, n = 12 b. X= 8, n = 30 c. X= 20, n = 4

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4G ll s
8:56 AM
PS4_STAT2.do... 0
STAT 2
Applied Statistics
Problem Set 4 (Due on August 13, 2021)
Solve for the following. Show your solutions.
1. Find the z-score for the following means taken from a population with mean 10 and
standard deviation 2:
a. X= 8, n = 12
b. X= 8, n = 30
c. X= 20, n = 4
d. X= 20, n = 16
2. For a population with a mean of 100 and standard deviation of 16, what is the probability
that a random sample of size 4 will have a mean between 106 and 126?
...
Transcribed Image Text:4G ll s 8:56 AM PS4_STAT2.do... 0 STAT 2 Applied Statistics Problem Set 4 (Due on August 13, 2021) Solve for the following. Show your solutions. 1. Find the z-score for the following means taken from a population with mean 10 and standard deviation 2: a. X= 8, n = 12 b. X= 8, n = 30 c. X= 20, n = 4 d. X= 20, n = 16 2. For a population with a mean of 100 and standard deviation of 16, what is the probability that a random sample of size 4 will have a mean between 106 and 126? ...
STAT 2
Applied Statistics
Problem Set 3 (Due on August 13, 2021)
Solve for the following. Show your solutions.
1. Calculate z-scores for the following raw scores taken from a population with a mean of
100 and standard deviation of 16:
112, 109, 56, 88, 135, 99
2. Calculate the raw score for the following z-scores from a distribution with a mean of 15
and standard deviation of 3:
a. 4.0
b. 2.2
C. -1.3
d. 0.46
3. The heights of men in the Philippines are normally distributed with a mean of 69.1 inches
and a standard deviation of 2.9 inches. What proportion of men are taller than 6 feet (72
inches)?
4. What proportion of the area under the normal curve is greater than z = 1.65?
5. Find the area between z = 1.32 and z = 2.54
Transcribed Image Text:STAT 2 Applied Statistics Problem Set 3 (Due on August 13, 2021) Solve for the following. Show your solutions. 1. Calculate z-scores for the following raw scores taken from a population with a mean of 100 and standard deviation of 16: 112, 109, 56, 88, 135, 99 2. Calculate the raw score for the following z-scores from a distribution with a mean of 15 and standard deviation of 3: a. 4.0 b. 2.2 C. -1.3 d. 0.46 3. The heights of men in the Philippines are normally distributed with a mean of 69.1 inches and a standard deviation of 2.9 inches. What proportion of men are taller than 6 feet (72 inches)? 4. What proportion of the area under the normal curve is greater than z = 1.65? 5. Find the area between z = 1.32 and z = 2.54
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