For a random sample of 36 data pairs...

For a random sample of 36 data pairs, the sample mean of the differences was 0.76. 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. USE SALT (a) Is it appropriate to use a Student's t distribution for the sample test statistic? Explain. O No, the sample size is not larger than 30. 0 Yes, the standard deviation is larger than the sample mean. 0 No, the standard deviation is not smaller than the sample mean. 0 Yes, the sample size is larger than 30. What degrees of freedom are used? S (b) State the hypotheses. O Holl'ld: 0;H1:pd0 (c) Compute the t value. (Round your answer to three decimal places.) S (cl) Estimate the Pvalue of the sample test statistic. O Pvalue > 0.500 O 0.250