New York is known as "the city that never sleeps." A random sample of 45 New Yorkers were asked ow much sleep they get per night. Statistical summaries of these sample data are shown below. Do hese data provide strong evidence that New Yorkers sleep less than 8 hours per night on average? Answer the following questions: Mean Standard Deviation Minimum Maximum 7.73 0.77 6.17 9.78 a) To begin answering this question, perform a hypothesis test to determine whether the average amount of sleep a New Yorker gets is different from 8 hours per night. As you work, tell me: What are your null and alternative hypotheses? Make sure to define your parameter. ii. What is your p-value and standardized statistic? You'll assess the strength of evidence by using Minitab. iii. What can you conclude? b) Use Minitab to compute a 95% confidence interval for the average number of hours that a New Yorker sleeps. Provide an interpretation for your confidence interval