A local chess club claims that the length of time to play a game has a mean of 22 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is A type Il error will occur if the actual mean of the length of time to play a game is 22 minutes, but you 22 minutes, but you the null hypothesis, the null hypothesis, ▼ M

A university has decided to introduce the use of plus and minus grading as long as there is evidence that 60% of the faculty is in support of this change. Write an appropriate null hypothesis and alternate hypothesis to test if the proportion is greater than 60%.

Again, you play the game where Bianca rolls a die and wins if it shows a 1 or a 2, otherwise you win. Out of 7 games, how many times does she have to win at least so that you would reject the null hypothesis (that the die is fair, results random) at the 5%-significance level?  You can look up numbers in the Binomial table, but remember that one number is not enough. You can also use the Online Calculator, but then you need to convert the answer to percent.

The mean of a random variable will be negative if all possible values of the random variable negative. O True O False

If one rejects the null hypothesis at the 5% level, then there is a 5% chance that you made the wrong decision. True /False

WHen writing a null hypothesis for a two sample t test. Do you write U1 = U2 or U1 - U2 = 0? Or do both of them work?