A medical researcher wanted to compare the amount of time between incidences of acute episodes of chronic pancreatitis sufferers for different age groups. Chronic pancreatitis is the inflammation of the pancreas that impairs the ability to digest food and regulate blood sugar. Using hospital records, he randomly selected 120 records for patients diagnosed with chronic pancreatitis – 60 of the patients were aged less than 65 years and 60 patients were aged 65 years or older. The researcher performed a t-test to see if the mean amount of time between recorded episodes for the two groups differed significantly, testing at the 5% significance level.
Now suppose this investigation was performed by 380 different researchers. If the average time between episodes for those aged less than 65 years is exactly the same as for those aged 65 years or older, would you expect any of the researchers to identify a statistically significant difference in the mean amount of time between episodes? If so, approximately how many? Explain your answer.