Jeffrey, as an eight-year old, established a mean time of 16.43 seconds for swimming the 25-yard freestyle, with a known standard deviation of 0.8 seconds. His dad, Frank, thought that Jeffrey could swim the 25-yard freestyle faster using goggles. Frank bought Jeffrey a new pair of expensive goggles and timed Jeffrey for 25-yard freestyle swims with 15 trials. For the 15 swims, Jeffrey's mean time was 16 seconds. Frank thought that the goggles helped Jeffrey to swim faster than the 16.43 seconds.

Q1. Under the significance level 2%, what is the critical value? [Express by four decimal points.]

Q2. Calculate the p-value. [Express by four decimal points.]

Q3. Draw the conclusion on the hypothesis under the significance level 2%. (MC)

A. We reject the null hypothesis. In other words, wearing the swimming goggle may lead Jeffery to swim faster.

B. We reject the null hypothesis. In other words, wearing the swimming goggle may not lead Jeffery to swim faster.

C. We do not reject the null hypothesis. In other words, wearing the swimming goggle may lead Jeffery to swim faster.

D. We do not reject the null hypothesis. In other words, wearing the swimming goggle may not lead Jeffery to swim faster.