# Test for statistical significance between the mean of a sample and a number

I have 20-30 repeated measurements each of which produce a single number. My goal is to determine whether the mean of these numbers is statistically significantly greater than the number 1. (significantly less than 1 does not count, in this case)

I know, for example, that if I want to know whether the means of two populations are different, I can use a t-test, but this does not seem to apply when one of my "populations" is just the fixed number 1. Can anyone help suggest the correct test?

• If you're prepared to assume independence (which may be doubtful with repeated measures) and common variance, and that the population is (sufficiently close to) normally distributed, see en.wikipedia.org/wiki/Student%27s_t-test#One-sample_t-test – Glen_b -Reinstate Monica Oct 23 '18 at 23:23
• Erika was first, so I accepted their answer, but yes -- an upper tailed one-sample t-test is exactly what I'm looking for. @Glen_b I actually can assume independence in this case. – Bunji Oct 24 '18 at 3:06