In: Statistics and Probability
1. A simple random sample of 22 days in which Parsnip ate seeds was selected, and the mean amount of time it took him to eat the seeds was 15.3 seconds with a standard deviation of 4.01 seconds. An independent simple random sample of 15 days in which Parsnip ate pellets was selected, and the mean amount of time it took him to eat the pellets was 14.2 seconds with a standard deviation of 3.89 seconds. If appropriate, use this information to calculate and interpret a 95% confidence interval for the difference in the mean amount of time it takes Parsnip to eat seeds and the mean amount of time it takes Parsnip to eat pellets.
a. Is 0 (zero) in the confidence interval computed in question 18? Based on this, is there a significant difference between the mean amount of time it takes Parsnip to eat seeds each day and the mean amount of time it takes Parsnip to eat pellets each day?