87. A hot-tub manufacturer advertises that with its heating equipment, a temperature of 100F can be achieved in at most 15 min. A random sample of 32 tubs is selected, and the time necessary to achieve a 100F temperature is determined for each tub. The sample average time and sample standard deviation are 17.5 min and 2.2 min, respectively. Does this data cast doubt on the company s claim? Compute the P-value and use it to reach a conclusion at level

.05 (assume that the heating-time distribution is approximately normal).