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standard deviation = square root of variance = sqrt(846) = 29.086 4. If we have the following data
34, 38, 22, 21, 29, 37, 40, 41, 22, 20, 49, 47, 20, 31, 34, 66 Draw a stem and leaf. Discuss the shape of the ** distribution**. Solution: 2 3 4 5 6 | | | | | 219200 48714 0197 6
This

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decimal places)
2. Find the value of z if the area under a Standard ** Normal** curve
a) to the right of z is 0.3632;
b) to the left of z is 0.1131;
c) between 0 and z, with z > 0, is 0.4838;
d) between -z and z, with z > 0, is 0.9500.
Ans : a) z = + 0.35 ( find 0.5- 0.3632 = 0.1368 in the

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points)
3. Suppose that a random sample of size 64 is to be selected from a population having [pic] and standard deviation 5.
(a) What are the mean and standard deviation of the [pic] sampling ** distribution**? Can we say that the shape of the

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•H.P.Gautam
The purpose of this article is not to explain any more the usefulness of *normal*** distribution** in decision-making process no matter whether in social sciences or in natural sciences. Nor is the purpose of making any discussions on the theory of how it can be derived. The only objective of writing this article is to acquaint the enthusiastic readers (specially students) with the simple procedure ( iterative procedure) for finding the numerical value of a normally distributed variable. The...

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skewed-right ** distribution** with a mean of 10 minutes and a standard deviation of 8 minutes. Suppose 100 flights have been randomly sampled. Describe the sampling

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or variability of the data about the measurements of central tendency.
MEASUREMENTS OF CENTRAL TENDENCY The appropriateness of using the mean, median, or mode in data analysis is dependent upon the nature of the data set and its ** distribution** (

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at Weston Materials, Inc., a national manufacturer of unattached garages, reports that it takes two construction workers a mean of 32 hours and a standard deviation of 2 hours to erect the Red Barn model. Assume the assembly times follow the *normal*** distribution**.
a. Determine the z values for 29 and 34 hours. What percent of the garages take between 32 hours and 34 hours to erect?
z(29) = (29-32)/2 = -3/2
z(34) = (34-32)/2 = 1
z(32) = 0
P(32 < x < 34) = P(0< z < 1) = 0.34
b. What percent of...

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with an example
2
2
10
6
a) Describe the characteristics of ** Normal** probability

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(However in large organisations it is ** normal** to allow for the impact of a disaster centrally as a contingency even if it is not budgeted at operating unit level.) If necessary, insurance should be taken out. If business is disrupted for two weeks, then it is pointless to compare the remaining two weeks of the month against a full month's budget. Produce a realistic budget for only two weeks and compare against that to establish true performance under

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X-bar Definition
1 x xi n i 1
Probability and statistics - Karol Flisikowski
n
Sampling ** Distribution** of x-bar
How does x-bar behave? To study the behavior,
imagine taking many random samples of size n, and computing an x-bar for each of the samples. Then we plot this set of x-bars with a histogram.
Probability and statistics - Karol Flisikowski
Sampling

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