local chess club claims that the length of time to play a game has a standard deviation of 15 minutes or less. Write sentences describing type I and type II errors for a hypothesis test of this claim. Question content area bottom Part 1 A type I error will occur if the actual standard deviation of the length of time to play a game is ▼ 15 ​minutes, but you ▼ fail to reject reject the null​ hypothesis, ▼ Upper H 0 : sigma less than or equals 15 Upper H 0 : sigma greater than 15 Upper H 0 : sigma not equals 15 Upper H 0 : sigma equals 15 Upper H 0 : sigma greater than or equals 15 Upper H 0 : sigma less than 15 . A type II error will occur if the actual standard deviation of the length of time to play a game is ▼ less than equal to greater than or equal to not equal to greater than less than or equal to 15 ​minutes, but you ▼ reject fail to reject the null​ hypothesis, ▼ Upper H 0 : sigma greater than 15 Upper H 0 : sigma not equals 15 Upper H 0 : sigma less than 15 Upper H 0 : sigma greater than or equals 15 Upper H 0 : sigma equals 15 Upper H 0 : sigma less than or equals 15 .