A statistics-professor claims that, on average, it takes students at least 10 hours of out-of- class practice to learn the concept of hypothesis testing. To check this, he randomly selects 30 successful statistics students and asks them to fill out a survey about their out-of-class practice hours. Their average out-of-class study time turns out to be 9.5 hours with a standard deviation of 2 hours. Test the professor's claim at the significance level of 1%. 1. Write down the claim in mathematical notations 2. State the null and alternative hypothesis 3. Choose and list the level of significance 4.specify the test and sample size 5. Is this a two-tail text or a one tail 6.calculate both the test statistics and p-value 7. Clearly express your conclusion in words