The data below are samples of daily production rate of computers in a Company. The production manager feels that a standard deviation of more than 15 computers a day indicates unacceptable production rate. Should the manager be concerned about the plant production rate? Justify your answer statistically.

44,65,71,58,47,63,48,45,63,46, 71, 64, 56, 78, 49, 56, 48, 59, 37, 54, 73, 46, 66, 55, 71