A new restaurant has just opened at the entrance to an amuse…

A new restaurant has just opened at the entrance to an amusement park.  The owner wants to know what local residents think and what tourists going to the park think of the restaurant.  100 local residents and 100 tourists going to the park were surveyed.  They were asked to rate the restaurant on a scale of 1 to 10 with 1 being “very unpleasant” and 10 being “amazing.”  The sample mean rating for local residents was 6.4 with a sample standard deviation of 1.5.  The sample mean rating for tourists going to the park was 7.0 with a sample standard deviation of 2.0. Suppose the owner wants to test a claim that the ratings of local residents and tourists going to the park are not the same.  What would the hypotheses be?

A coaster enthusiast group decided to have an outing at the…

A coaster enthusiast group decided to have an outing at the local amusement park.  Some members of the group want to test a claim that a proportion less than 0.10 are over the age of 70.  A random sample of 100 members was taken and it was found that 6 of the 100 were over the age of 70.  Take alpha to be 0.05. The z-statistic would be:  The p-value would be: The critical z-statistic (z crit) would be:  What action should be taken?