Suppose the time that it takes a certain large bank to approve a home loan is Normally distributed with mean (in days) μ and sta
ndard deviation σ=1. The bank advertises that it approve loans in 5 days, on average, but measurements on a random sample of 500 loan applications to this bank gave a mean approval time of = 5.3 days. Is this evidence that the mean time to approval is actually longer than advertised? To answer this, test the hypotheses H0:μ=5, Ha:μ>5 at significance level α=0.01. You conclude that: a. Ha should be rejected.b. there is a 5% chance that the null hypothesis is true.c. H0 should be rejected.d. H0 should not be rejected.