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r rR )r8 r� r; r> r: �UZtotal2Zcount2r& r r' �_ss� s r� c C sL t | �| u rt| �} t| �}|dk r,td��t| |�\}}t||d |�S )Nrg z*variance requires at least two data pointsr( �r\ r] rR r r� rQ )r8 �xbarr, r; �ssr& r& r' r � s & r c C sH t | �| u rt| �} t| �}|dk r,td��t| |�\}}t|| |�S )Nr( z*pvariance requires at least one data pointr� )r8 �mur, r; r� r& r& r' r � s # r c C s6 t | |�}z |�� W S ty0 t�|� Y S 0 d S r) )r r r@ rA )r8 r� �varr& r& r' r s r c C s6 t | |�}z |�� W S ty0 t�|� Y S 0 d S r) )r r r@ rA )r8 r� r� r& r& r' r $ s r c C s | d }t |�dkr�d|| }d| d | d | d | d | d | d | d | }d | d | d | d | d | d | d | d }|| }||| S |dkr�| nd| }tt|� �}|dk�r^|d }d| d | d | d | d | d | d | d }d | d | d! | d" | d# | d$ | d% | d }n�|d }d&| d' | d( | d) | d* | d+ | d, | d- }d.| d/ | d0 | d1 | d2 | d3 | d4 | d }|| }|dk �r�| }||| S )5N� �?g333333�?g ��Q� �?g^�}o)��@g�E.k�R�@g ��U l�@g*u��>l�@g �N����@g�"]Ξ@gnC���`@gu� � @giK��~j�@gv��|E�@g��d�|1�@gfR��r��@g��u.2�@g���~y�@g�n8(E@� �?� g @g�������?g鬷�ZaI?gg�El�D�?g7\�����?g�uS�S�?g�=�. @gj%b�@g���Hw�@gjR�e�?g�9dh? 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