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                import math  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from enum import Enum  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from scipy.stats import norm  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class DistributionFamily(Enum):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    normal = 1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    student_t = 2  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    fisher = 3  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    chi_square = 4  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                class MeanSamplingDistribution(object):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    sample_distribution = None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    point_estimate = None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    distribution_family = None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    df = None  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                    def __init__(self, sample_distribution=None, sample_mean=None, sample_sd=None, sample_size=None):  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        if sample_mean is not None:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            self.point_estimate = sample_mean  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        if sample_sd is not None:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            self.sample_sd = sample_sd  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        if sample_size is not None:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            self.sample_size = sample_size  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        if sample_distribution is not None:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            self.sample_distribution = sample_distribution  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            self.point_estimate = sample_distribution.mean  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            self.sample_sd = sample_distribution.sd  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            self.sample_size = sample_distribution.sample_size  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        self.standard_error = MeanSamplingDistribution.calculate_standard_error(self.sample_sd, self.sample_size)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        self.df = self.sample_size - 1.0  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        if self.sample_size < 30:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            self.distribution_family = DistributionFamily.student_t  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        else:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                            self.distribution_family = DistributionFamily.normal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    @staticmethod  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def calculate_standard_error(sample_sd, sample_size):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return sample_sd / math.sqrt(sample_size)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    def confidence_interval(self, confidence_level):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        pf = norm.ppf(1 - (1 - confidence_level) / 2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return (-pf, pf)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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