Let's analyze each sentence to check if it is true or false:
First:
This sentence is true, the confidence interval is an interval where the true mean is likely to be.
Second:
This sentence is true, with a sample size smaller than 30, it is better to use the t-distribution instead of the normal distribution.
Third:
This sentence is true, the confidence interval is not a 100% guarantee that the true mean will be inside it.
Fourth:
Ti s sentence is true, this theorem states that when getting a large enough sample of a distribution with mean and standard deviation, the sample will be approximately normally distributed.
Fifth:
This sentence is false, because the number of degrees of freedom is 1 less than the sample size, so it would be 10.
Therefore the answer is:
True, True, True, True, False.
