Discussion/Homework problem for Chapter 1 Solutions due Friday, Sep 8. You will

Question

Discussion/Homework problem for Chapter 1 Solutions due Friday, Sep 8. You will practice MINITAB on this problem during the discussion sections. Instructions: Your solutions must be typed and printed. You must answer all questions in the order they were posed. If you print any graphs, they need to be of reasonable size with explanations of what you conclude from them immediately following the graphs. Your report (solutions) may not exceed 2 pages. Consider the data on durations of eruptions of the Old Faithful geyser in Table 1.6. (data on class web site). Please do the following analyses of this data 1. 2. Compute descriptive statistics for the dormant periods (all data) Find median, mean, and both quartiles for the lengths of the dormant periods. What is the variance and standard deviation of the lengths of the dormant periods? Construct histogram and boxplot of the lengths of the dormant periods, and discuss the symmetry and possible outliers in this data. Compute mean, median, both quartiles, variance and standard deviations of the lengths of the dormant periods separately for the long and short eruption. How do these statistics compare? Construct histograms and side by side boxplots of the lengths of the dormant periods for long and short eruptions. Do you see any differences in the distribution of these data? 4. 5. 6.

Explanation / Answer

1]

Descriptive statistics for all data

Descriptive Statistics: Dormancy

Variable   Mean    StDev Variance CoefVar Minimum     Q1    Median     Q3
Dormancy 71.18 13.36    178.46    18.77   42.00    57.25    75.00    82.00

                             
Variable Maximum Range Mode   Skewness Kurtosis
Dormancy    93.00 51.00    76    -0.51     -0.91

2]

Mean     Median    Q1       Q2

71.18     57.25    75.00    82.00

3]

Variance     standard deviation

178.46         13.36

4]

Descriptive statistics for seperate dormant length

For Short

Data for short period:

Short
   50   55   58   56   42   51   53   51   53   51   45   51   49   66   67
   55   56

Descriptive Statistics: Short

Variable   Mean StDev Variance CoefVar Minimum     Q1 Median     Q3
Short       53.47   6.32     39.89     11.81   42.00       50.50 53.00     56.00

                              
Variable Maximum Range Mode   Skewness Kurtosis
Short       67.00 25.00    51        0.64        1.03

Data set for Long period

Long
   76   80   84   93   76   74   75   80   80   69   57   90   91   79   82
   76   82   84   86   85   88   80   82   75   73   67   68   86   72   75
   75   84   70   79   60   86   71   81   76   83   76   73   83

Descriptive Statistics: Long

Variable   Mean StDev Variance CoefVar Minimum     Q1    Median Q3
Long    78.19   7.64     58.30 9.77      57.00       74.00    79.00 84.00

                              
Variable Maximum Range Mode     Skewness Kurtosis
Long        93.00 36.00    76           -0.55      0.63

5]

Conparison of Short and Long data

for Long term period there are number of observations are higher than the short term period.

mean median and variance of Long term period is greater than the short term period

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