# Using the Web or library, collect a data set that can be used to perform a statistical analysis, such as, whether it depicts a normal distribution (bell curve). Data set should have minimum size of 30. You may collect data of height, weight or any other suitable variable

Part A

Using the Web or library, collect a data set that can be used to perform a statistical analysis, such as, whether it depicts a normal distribution (bell curve). Data set should have minimum size of 30. You may collect data of height, weight or any other suitable variable.

1. a) Plot the data, using a suitable graph representation, to see if it constitutes a normal distribution.
2. b) Plot a normal distribution from your data.
1. c) Let and are two values from your data. Calculate
2. i)
3. ii)

iii)

Part B

Choose 10 values from your data. Use these values to answer the following questions.

1. Calculate the mean sample using a formula.

= 72 + 69 + 67 + 60 + 69 + 70 + 75 + 60 + 71 + 71

10

= 68.4

1. Calculate the standard deviation using a formula.
 USMaleHeight inches (X) 72 72 – 68.4 = 3.6 = 12.96 69 69 – 68.4 = 0.6 0.36 67 67 – 68.4 = – 1.4 1.96 60 60 – 68.4 = – 8.4 70.56 69 69 – 68.4 = 0.6 0.36 70 70 – 68.4 = 1.6 2.56 75 75 – 68.4 = 6.6 43.56 60 60 – 68.4 = – 8.4 70.56 71 71 – 68.4 = 2.6 6.76 71 71 – 68.4 = 2.6 6.76 0 216.4

1. Find a 95% confidence interval for . Interpret your data.

1. Calculate error margins by using five confidence levels (e.g. 80%, 90%, etc.).

1. Plot a graph showing how the error margins (Z σ/√n) varies with different values of Z. Use your results from part d).

1. Show how different values of n (the sample size) will lead to different error margins at a 95% confidence level. Choose five values of n in the range of n = 30 and n = 5000. Comment on how the interval changes with different n values.

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