A researcher found that a cigarette smoker smokes on average 30 cigarettes a day. She feels that this average is too low. She selected a random sample of 8 smokers and found that the mean number of cigarettes they smoked per day was 32. The sample standard deviation was 2.8. At , a = 0.05 is there enough evidence to support her claim? Assume that the population is approximately normally distributed. Use the -value method and tables.