I was wondering if someone could help.

Say I have a sample of numbers 5,6,7,5,6,7,5,6,5,4 and I want to test which of these individual numbers is significantly different from my population mean of 5, how do I go about doing it?

I've carried out a t-test and found that the sample mean of 5.6 is not significantly different from my population mean of 5, at the alpha=5% level. My 95% confidence interval is [4.91, 6.29].

Can I then assume that, at 5% significance level, that the values 4 and 7 in my original sample of numbers are significantly different from my population mean of 5 as they are outside my confidence interval, even though the overall sample mean is not significantly different from the population mean?

If I am wrong, can anyone please advise which method I should be using to identify which individual values are significantly different from my population mean?

Thanks

SJ