Chp 10 6) A study was conducted by researchers at a university who investigated whether time perception, an indication of a person's ability to concentrate, is impaired during nicotine withdrawal. After a 24- hour smoking abstinence, n = 20 smokers were asked to estimate how much time had passed during a 45-second period. Suppose the resulting data on perceived elapsed time (in seconds) yielded a sample mean of x = 59.4 seconds, and sample standard deviation s = 9.86 seconds. Do the data from this study provide convincing evidence that the population mean estimated time is greater than 45 seconds? 2 pts a)State the appropriate null and alternative hypotheses. 2 pts b) Compute the Test Statistic. Round the answers to 2 dec places. 1 pts c) Find the Critical Value using the table with a significance level of = 0.05. 2 pts d) Carry out a hypothesis test with a significance level of = 0.05 by comparing test-statistic with critical value. Is there convincing evidence that the population mean estimated time is greater than 45 seconds? 2 pts e) Answer the same question for a significance level of a = 0.01. What conclusion can you make now?