According to a current news report, the average price of gasoline is $3.80 per gallon (March 2011). This price can be considered as the nationwide population mean price per gallon. Assume that the standard deviation of gasoline price per gallon is $0.50. A sample of 49 gas stations in Salt Lake City is taken. The probability that sample mean price is in ±0.10 of population mean is
(a) 0.9236
(b) 0.8384
(c) 0.9544
(d) 0.9983
(e) 0.8764