Final answer:
A Type I error occurs when you reject the null hypothesis, but the actual standard deviation (SD) of the length of time to play a game is actually less than or equal to 11 minutes.
Step-by-step explanation:
A Type I error occurs when you reject the null hypothesis, but the actual standard deviation (SD) of the length of time to play a game is actually less than or equal to 11 minutes. In other words, you mistakenly conclude that the SD is greater than 11 minutes when it is not.
For example, let's say the null hypothesis is that the SD of the length of time to play a game is 10 minutes. If you perform a hypothesis test and reject the null hypothesis, concluding that the SD is greater than 11 minutes, but in reality it is only 9 minutes, then you have made a Type I error.
To avoid Type I errors, it is important to set an appropriate significance level (alpha) for your hypothesis test and consider the consequences of rejecting the null hypothesis.