Give an interval for all the levels of significance at which we would have to test in order to conclude that the average cost has increased to more than $30

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Give an interval for all the levels of significance at which we would have to test in order to conclude that the average cost has increased to more than $30

Please only answer the uestion that is in bold, the one below is the first part of the problem (alread know how to do it). Thank you!

A student suspected the average cost of a Saturday night date is now more than $30.00.  To test her hypothesis, she randomly selected 16 men from the dormitory and asked them how much they spent on a date last Saturday.  She found that the average cost was $31.17.  The standard deviation of the sample was $5.51.  Is there enough evidence to support her claim at the 5% level of significance?  Assume the sample is approximately normally distributed

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