Aerospace engineers are investigating the relationship between the wing-tip vibration frequency (vvv, in Hz) and the internal cabin noise level (NNN, in dB) of a prototype long-range drone. In a series of 50 flight trials, the product moment correlation coefficient was calculated to be r=0.354r = 0.354r=0.354. Assuming the data is drawn from a population follows a bivariate normal distribution, perform a hypothesis test at the 1% level of significance to determine whether there is evidence of a positive correlation between vibration frequency and cabin noise. The critical value for the product moment correlation coefficient at the 1% significance level for a sample size of 50 is 0.3281.
