A pizza shop claims its average home delivery time is 26 minutes. A sample of 45 deliveries had a sample average of 28.5 minutes. Assume the population standard deviation for the shop's deliveries is 59 minutes. Complete parts a and below. a. Is there support for the shop's claim using the criteria that the sample average of 28,5 minutes falls within the symmetrical interval that includes 95% of the sample means i the true population mean is 26 minutes? Select the correct choice below and fill in the answer box within your choice (Type an integer or decimal rounded to four decimal places as needed) OA The probabilly P(x228.6) - This indicates that the sample average of 28.5 minutos fails outside the 85% symmetrical interval, contradicting the shop's claim OB. The probability P(x2 28.5) - This indicates that the sample average of 285 minutes falls within the 96% symmetrical interval, supporting the shop's claim. b. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is 26 minutes (Type integers or decimals rounded to two decimal places as needed)