In: Statistics and Probability
1. Interpret the results of the studies below.
a) A study was run to estimate the difference between UC students and CSU students in the proportion that work full-time. A random sample of 200 UC students had 42 that worked full-time. A random sample of 300 CSU students had 96 that worked full-time. Researchers found a 95% confidence interval of -0.187<PUC-PCSU<-0.033.
b) A study was run to determine if a new machine at a factory was less likely to produce flawed products than the old machine. A random sample of 200 products from the old machine had 11 flawed. A random sample of 200 products from the new machine had 9 flawed. Researchers set a significance level of 5% and found a p-value of 0.179.
2. Newborn males have a mean length of 49.9cm with a standard deviation of 1.9cm. Researchers plan to take a random sample of 50 newborn males. Find the shape, center, and spread for the sampling distribution.