1. A random sample of 28 policies form insurance company A shows an average net profit of $39 per policy, with a standard deviation of $3.70 per policy. A random sample of 34 policies from insurance company B shows an average net profit of $47 per policy with a standard deviation of $3.90 per policy. Assume the policy profits are normally distributed and have unequal variances. Use a 0.01 level of significance to test whether the profits per policy are significantly greater for company B than for company A