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.   The numeric value of the t-statistic would be:  . Remember this says numeric value and so the sign, positive or negative, does not matter. The p-value for the test would be:  The calculation for the critical test statistic (t crit) at a level of significance of 0.05 for this situation would be: What action should be taken?

The height at which a hot air balloon company flies its ball…

The height at which a hot air balloon company flies its balloons is normally distributed with a mean of 1000 feet and a standard deviation of 50 feet. What percent of the hot air balloon flights will fly higher than 1125 feet?  What percent of the hot air balloon flights will fly lower than 900 feet?    A balloon flying at 1075 feet would have a z-score of? 

Samantha, a bodybuilder, is competing in an upcoming competi…

Samantha, a bodybuilder, is competing in an upcoming competition and has been considering using anabolic steroids to enhance muscle growth. She has done some research and is aware that many professional bodybuilders use steroids, but she also knows that they come with significant health risks and are banned in competitions. What is the best course of action for Samantha?