For a random sample of 36 data pairs, the sample mean of the differences was 0.74. The sample standard deviation of the differences was 2. At the 5% level of significance, test the claim that the population mean of the differences is different from 0. a. Is it appropriate to use a Student's t distribution for the sample test statistic? Explain.
1. Yes, the standard deviation is larger than the sample mean.
2. No, the standard deviation is not smaller than the sample mean.
3. Yes, the sample size is larger than 30.
4. No, the sample size is not larger than 30.

b. What degrees of freedom are used?