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TEMA 1
CASO 1: Las tiendas FairPlay

Las tiendas FairPlay, una división de Bolivian Clothing, es una cadena de tiendas de ropa para mujer que tiene sucursales por todo el país. Hace poco la tienda realizó una promoción en la que envió cupones de descuento a todos los clientes de otras tiendas de Bolivian Clothing. Los datos obtenidos en una muestra de 100 pagos con tarjeta de crédito en las tiendas Fair Play durante un día de la promoción se presentan en el archivo titulado FairPlay. El modo de pago Propietary card se refiere a pagos realizados usando una tarjeta de crédito de FairPlay. A los clientes que hicieron compras usando un cupón de descuento se les denomina aquí promocionales y a quienes hicieron sus compras sin emplear cupón de descuento se les denomina regulares. Como a los clientes de las tiendas FairPlay no se les enviaron cupones promocionales, los directivos consideran que las ventas hechas a quienes presentaron un cupón de descuento son ventas que de otro modo no se hubieran hecho. Es claro que FairPlay espera que los clientes promocionales continúen comprando con ellos. La mayor parte de las variables que aparecen en la archivo adjunto se explican por sí mismas, pero dos de las variables deben ser aclaradas.
Artículos El número total de artículos comprados
Ventas netas Cantidad total cargada a la tarjeta de crédito
Los directivos de FairPlay desean emplear estos datos muestrales para tener información acerca de sus clientes y para evaluar la promoción utilizando los cupones de descuento.

REPORTE GERENCIAL
Emplee los métodos tabulares y gráficos de la estadística descriptiva para ayudar a los gerentes de FairPlay a elaborar un perfil de sus clientes y a evaluar la promoción. Su informe debe contener, por lo menos, lo siguiente:

1. Distribuciones de frecuencia porcentual de las variables clave.

De lo anterior, se pueden apreciar tendencias muy claras en nuestras variables de interés, es decir, del análisis de la promoción que realizaron las tiendas FairPlay se aprecia que los clientes promocionales superaron por amplio margen a los regulares, la tarjeta de la tienda también fue utilizada por un 70% de los clientes, también se aprecia que la tendencia a que sean mujeres las compradoras y un 84% de los clientes son casados.

2. Una gráfica de barras o una gráfica de pastel que muestre el número de clientes correspondiente a cada modo de pago.

3. Una tabulación cruzada con el tipo de cliente (regular o promocional) frente a ventas netas. Haga un comentario sobre las semejanzas o diferencias que observe.

En la tabla, se puede apreciar que en el día de promoción que se captaron los datos, la clientela mayoritaria fue la promocional y sus compras se mantuvieron, en mayor proporción, por debajo de los $150.

4. Un diagrama de dispersión para investigar la relación entre ventas netas y edad del cliente.

En esta relación, se ve que la concentración mayor se encuentra en clientes entre 30 y 50 años con compras menores a $100.
TEMA 2
CASO 1: Las tiendas FairPlay REPORTE GERENCIAL

Use los métodos de la estadística descriptiva presentados en el tema 2 para resumir los datos y comente sus hallazgos. Su informe debe contener, por lo menos, lo siguiente: 1. Estadísticos descriptivos sobre las ventas netas y sobre las ventas a los distintos tipos de clientes.

a. Estadísticos descriptivos sobre las ventas netas

La media de las ventas netas es de $77,60, desviados en promedio de este dato $55,66 según la desviación estándar, y está muy por debajo del valor máximo de $287,59 que podría considerarse como un valor atípico. De acuerdo al valor de la mediana el 50% de los clientes gasta menos de $59,71 y la otra mitad gasta más que este monto. El valor que se repite mayor número de veces es $31,60.

b. Estadísticos descriptivos sobre las ventas a clientes regulares

La media de ventas a clientes regulares es menor a la del total de clientes ($61,99) por lo que podemos deducir que las ventas a clientes regulares son por un valor menor a los clientes promocionales, y su desviación estándar llega a ser de $35,07.

c. Estadísticos descriptivos sobre las ventas a clientes promocionales

La media de ventas a clientes promocionales es de $84,29 por lo que colegimos que el valor de las ventas a clientes promocionales es superior al de clientes regulares.

2. Estadísticos descriptivos respecto de la relación entre edad y ventas netas.

Como se puede apreciar, la covarianza en negativa, lo que indica que a mayores valores de una variable suelen corresponder en general los menores de la otra, expresando un comportamiento opuesto. También podemos ver que la correlación es negativa, y como el coeficiente es cercano a cero, podemos decir que la asociación entre ambas variables es débil.

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