The data below provides the lifetime of two types of crankshafts (car part), with the data corresponding to hundreds of hours. Engineers state that these crankshafts can be effectively modeled from a lognormal distribution, which is when the data's natural log is normally distributed. If the variance is equal for the logs of both populations, use a 5% significance level to test that the two population distributions are the same. Use a natural logarithm for this problem.

Type 1 Type 2 87 57 35 59 39 75 42 73 57 50 88