A product analyst is evaluating customer behavior. The probability a customer uses a mobile device is 0.65. The probability a customer shops online is 0.75. The probability a customer does both is 0.55. What is the probability a customer uses mobile or shops online? (Enter a decimal value.  For example, you would use .35, instead of 35%.)

A coffee company is testing whether its new roasting process meets the target temperature of 210°C.  They collect a sample of 30 batches using the new process and find an average roast temperature of 207.5°C.  They perform a one-sample t-test with a resulting p-value of 0.18. What does this result indicate?

A car company compares average customer service call times between two locations – Denver and Phoenix.  They collect 40 call times from each location and perform a two-sample t-test.  The resulting p-value is 0.008. What does this result indicate?

Paso 2 (2 pts)Continue reading the article and answer the comprehension questions. Choose the correct answer according to what the article says. Oficialmente Rafael Nadal completó la carrera de Grand Slam cuando ganó el Abierto de Estados Unidos en 2010. Nadal es el segundo jugador en completar la carrera de Golden Slam (ganar los cuatro campeonatos de Grand Slam y la medalla de oro olímpica). El primero fue el tenista americano Andre Agassi. Nadal también representó a España en los Juegos Olímpicos de Pekín en 2008 y ganó la medalla de oro. Pero Nadal no siempre tuvo tanta suerte. Por ejemplo, en abril de 2004, su vida de tenista casi llegó a su fin. Sufrió una lesión en el pie izquierdo y no pudo jugar por un tiempo. Durante su recuperación, entrenó sentado en una silla y en tres meses y medio empezó a jugar de nuevo. Nadal tiene el apoyo comercial de Nike y esa compañía le da ropa para llevar en la cancha. En 2022 ganó el Abierto de Francia por 14a vez, y en 2024 se retiró del tenis. En toda su carrera, ganó 22 Grand Slam, y es uno de los grandes tenistas modernos con Roger Federer y Novak Djokovic. ¡Es un tenista impresionante!

A supply chain analyst estimates the average delivery time using a model that consistently estimates 1–2 days shorter than actual delivery times. What property does this estimator lack?

A tech startup estimates that the probability of a server outage is 0.08. What is the probability that there is not an outage? (Enter a decimal value.  For example, you would use .35, instead of 35%.)

You want to understand rent prices in New York City, so you gather data for a sample of 75 apartments.  The mean of the sample is $3,201, and the standard deviation is $175. What value represents the high end of the 90% confidence interval?  (Use Z = 1.645)

Which of the following best differentiates sampling error from sampling bias?

In a soccer match, there are three possible outcomes — a win, a loss, or a draw.  The probability of a win is 0.58 and a loss is 0.31. What is the probability of a draw? (Enter a decimal value.  For example, you would use .35, instead of 35%.)

An HR manager is selecting a random employee for a bonus. The probability that the employee works in Sales is 0.4. The probability that the employee works in IT is 0.3. No employee works in both departments. What is the probability that the selected employee works in Sales or IT? (Enter a decimal value.  For example, you would use .35, instead of 35%.)