A Company That Makes Foot-Long Hot Dogs Requires That the Median

Essay

A company that makes foot-long hot dogs requires that the median lengths of its hot dogs be 12 inches. A sample of 18 hot dogs produced by this company in order actually have lengths in inches: 10,11,13,13, 14, 12, $11,9,13,12,14,13,11,13,14,10,14,15$ . Does this data provide sufficient evidence to indicate a lack of randomness in the pattern of too short and too long hot dogs? Use $\alpha=0.05$ .