32. Cell phone batteries. A company that produces cell phones claims its standard phone battery lasts longer on average than other batteries in the market. To support this claim, the company publishes an ad reporting the results of a recent experiment showing that under normal usage, their batteries last at least 35 hours. To investigate this claim, a consumer advocacy group asked the company for the raw data. The company sends the group the following results:

35, 34, 32, 31, 34, 34, 32, 33, 35, 55, 32, 31 Find a 95% confidence interval and state your conclusion.

Explain how you dealt with the outlier, and why.