Found a fun little quiz somewhere, which I thought some of my readers might like to take. My aim is not to embarrass people who may get some answers wrong – in testing, the vast majority of all respondents (including researchers who reported substantial experience) were found to make mistakes. My hypothesis is that my readers are rather more intelligent than average 🙂 Please answer in comments but work out your answers before reading what others have said, so as not to be unduly influenced by them.
I will summarise and explain the quiz when enough have answered…
A researcher undertakes an experiment and reports “the 95% confidence interval for the mean ranges from 0.1 to 0.4”
Please mark each of the statements below as “true” or “false”. False means that the statement does not follow logically from the quoted result. Also note that all, several, or none of the statements may be correct:
1. The probability that the true mean is greater than 0 is at least 95%.
2. The probability that the true mean equals 0 is smaller than 5%.
3. The “null hypothesis” that the true mean equals 0 is likely to be incorrect.
4. There is a 95% probability that the true mean lies between 0.1 and 0.4.
5. We can be 95% confident that the true mean lies between 0.1 and 0.4.
6. If we were to repeat the experiment over and over, then 95% of the time the true mean falls between 0.1 and 0.4.