The general social survey described in previous problem included random samples from two groups: us residents with a college degree and us residents without a college degree. from the 505 sampled us residents with a college degree, the average number of hours worked each week was 41.8 hours with a standard deviation of 15.1 hours. for those 667 residents without a degree, the mean was 39.4 hours with a standard deviation of 15.1 hours. based on the following steps, conduct a hypothesis test at significance level [alpha=0.05] to check for a difference in the average number of hours worked for the two groups.(a) state the null hypothesis (put =, > or < into the blank) h0: [mu_x] < [mu_y] h0: [mu_x] = [mu_y] h0: [mu_x] > [mu_y](b) the two-sample t statistic equals give your answer to 3 decimal places.(c) based on the t statistic, the p-value equals give your answer to 3 decimal places. for degrees of freedom, use min(n1-1,n2-1). (d) is the evidence strong enough to reject h0 ? (yes/no)