Suppose the number of beds filled per day in a medium-sized hospital is normally distributed. A hospital administrator tells the board of directors that, on the average, at least 185 beds are filled on any given day. One of the board members believes that the average is less than 185 and she sets out to test to determine if she is correct. She secures a random sample of 16 days of data (shown below). Use α = .05 and the sample data to test the board member’s theory. Assume the number of filled beds per day is normally distributed in thepopulation.

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Number of Beds Occupied per Day 173 149 166 180 189 170 152 194 177 169 188 160 199 175 172187