Park officials make predictions of times to the next eruption of a particular geyser, and collect data for the errors (minutes) in those predictions. the display from technology available below results from using the prediction errors to test the claim that the mean prediction error is equal to zero. comment on the accuracy of the predictions. use a

what are the null and alternative hypotheses?

a. upper h 0h0:
muμequals=00
minutes
upper h 1h1:
muμless than< 00
minutes
b. upper h 0h0:
muμequals=00
minutes
upper h 1h1:
muμnot equals≠00
minutes

c. upper h 0h0:
muμequals=00
minutes
upper h 1h1:
muμgreater than> 00
minutes
d. upper h 0h0:
muμless than< 00
minutes
upper h 1h1:
muμequals=00
minutes

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?