Statistics Assignment Name Institution Date QUESTION 1 In the first curve there exists a positive skew. Therefore the median is B In the second curve there is no skew. This depicts that it is a normal distribution curve which represents a perfectly symmetrical distribution. Therefore the median is A In the third curve there exists a negative skew. Therefore the median is B QUESTION 2 X is N (100 152) a P(X<70) =P (Z< (70-100)/15) =P (Z<-30/15) =P (Z<-2) =0.02275 =2.28% b P (X≥130) =P (Z≥ (130-100)/15) =P (Z≥30/15) =P (Z≥2) =1-0.97725 =0.02275 =2.28% QUESTION 3 a The quartiles for a Standard Normal Distribution are ±0.6745 For a N (µ σ) distribution: First Quartile=µ-0.6745σ Third Quartile=µ+0.6745σ Therefore the Inter Quartile Range (IQR): =0.6745-(-0.6745) =1.3490 B IQR=cσ1.3490=1c c=1.3490 QUESTION 4 i Bar chart and Pie chart ii Histogram Dot plot Stem-and-Leaf plot iii Histogram Dot plot Stem-and-Leaf plot iv Time that the variables are positively correlated. f The following is the output according to Excel Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 0 #N/A #N/A #N/A #N/A #N/A #N/A #N/A X Variable 1 6.003445 0.064981 92.38778 2.07E-24 5.866347 6.140543 5.866347 6.140543 The required regression equation is therefore: Time=0+6.003445 Length g The following is the output according to Excel Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 0 #N/A #N/A #N/A #N/A #N/A #N/A #N/A X Variable 1 0.16624 0.001799 92.38778 2.07E-24 0.162444 0.170036 0.162444 0.170036 Therefore the required regression equation is: Length=0+0.16624 Time References Data Analysis in Excel. (2016). Excel-easy.com. Retrieved 9 September 2016 from www.excel-easy.com 184.108.40.206. Measures of Skewness and Kurtosis. (2016). Itl.nist.gov. Retrieved 9 September 2016 from www.itl.nist.gov Standard Deviation and Variance. (2016). Mathsisfun.com. Retrieved 9 September 2016 from http://www.mathsisfun.com/data/standard-deviation.html [...]
16 questions with 3 individual min questions. Topic one : Distributions and Relationships Objectives: Analyze the characteristics of data. Explore data with the appropriate graphical representation. Calculate and interpret descriptive statistics. Determine the strength and direction of a linear relationship. Model a linear relationship.