1. A researcher hypothesizes that the mean body temperature of a healthy adult may be different from the often-cited standard of 98.6 degrees Fahrenheit. They plan to test the following hypotheses: Ho: H = 98.6 Ha: u # 98.6 In a representative sample of 50 healthy adults, data were slightly skewed to the right with a mean of 98.26 degrees and standard deviation of 0.77 degrees. The shape of the population is unknown. Given the information above, is it appropriate to use the t distribution to approximate the sampling distribution? C Yes, it is appropriate to use the t distribution in this case No, it is not appropriate to use the t distribution in this case 2. A team of statistics education researchers wants to know if students' perceived knowledge of introductory statistics differ at the beginning and end of a research study. They are testing the following hypotheses: Ho :uld = 0 Ha: Ud > 0 They obtain a sample of 125 students. At the beginning and end of the study they ask students to rate their perceived knowledge of statistics on a scale of 1 to 9. The average difference from beginning to end is 0.38 points with a standard deviation of 3.98 points. Compute the t test statistic. Round your final answer to 3 decimal places. 3. A small pilot study was conducted prior to planning for a larger research study. Data were collected from students at one college concerning how many hours per week they work. In the sample, the mean was 24 hours with a standard deviation of 9 hours. Researchers want to construct a 95% confidence interval to estimate the mean number of hours that students at this college work, with a margin of error of + 1 hours. What is the minimum sample size that they should obtain? Use z* multiplier of 1.960