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A researcher found that a cigarette smoker smokes on average 31 cigarettes a day. She feels...

A researcher found that a cigarette smoker smokes on average 31 cigarettes a day. She feels that this average is too high. She selected a random sample of 15 smokers and found that mean number of cigarettes they smoked per day was 28. The sample standard deviation was 2.4. At Alpha αequals 0.05 is there enough evidence to support her claim?Assume that the population is approximately normally distributed.

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