1.A medical research team studied the number of head and neck injuries sustained by hockey players. Of the 319 players who wore a full-face shield, 195 sustained an injury. Of the 323 players who wore a half-face shield, 204 sustained an injury. Which statistical test would be most appropriate to compare the protective benefits of full vs half-face shields?
a.A one sample Z test for sample proportions
b.A two sample Z test for sample proportions
c.A two sample t test for sample means
d.A one sample t test for sample means
2.An education organization claims that the mean SAT scores for male athletes and male non-athletes at a college are different. A random sample of 26 male athletes at the college has a mean SAT score of 1783 and a standard deviation of 218. A random sample of 18 male non-athletes at the college has a mean SAT score of 2064 and a standard deviation of 186. Which test would best be used to compare SAT scores between these groups?
a.A one sample Z test for sample proportions
b.A two sample Z test for sample proportions
c.A two sample t test for sample means
d.A one sample t test for sample means
3.The distribution of systolic blood pressure (SBP) tends to be symmetric and bell-shaped for adults between the ages of 45-55. An investigator wishes to calculate a 95% confidence interval (CI) for mean SBP based on a sample of n=20 adults in this age range. Which of the following is the most appropriate formula for the upper limit of the 95% CI?
a.sample mean + 2.09*SEM
b.sample mean + 2.18*SEM
c.sample mean - 1.99*SEM
d.sample mean + 1.96*SEM
4.The mean change in muscle thickness observed after a 4-week training regimen was 4 mm, and the 95% confidence interval (CI) for mean change was (-0.5, 8.5). Which is the best scientific conclusion for the effectiveness of this regimen?
a.An increase in 4 mm is impressive, so the regimen has been proven effective.
b.Although a mean increase was observed, it is not statistically significant because the 95% CI includes zero change.
c.The lower limit of the CI is less than zero, which means a new person undergoing this training can be expected to lose muscle thickness.
d.The upper limit of the CI is greater than 8, which means that an increase of 8 mm is our best prediction for a new person undergoing this training.