Discussion/Homework problem for Chapter 1 Solutions due Friday, Sep 8. You will
ID: 3299151 • Letter: D
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