84There are three options for the alternative hypothesis:•Ha:μ16=μ2(two-sided test)•Ha:μ1< μ2(one-sided, lower/left-tail test)•Ha:μ1> μ2(one-sided, upper/right-tail test) The test statistic is calculated as:IfH0is true and the assumptions are satisfied,Zwill follow a standard normal distribution.Graphically:EXAMPLE: A study was conducted to compare the starting salaries of university graduates from anhonours Bachelor’s program, versus those graduates in a general Bachelor’s program. Previous studieshad found that the population standard deviation of starting salaries for honours and general graduateswere $2250 and $2380 respectively, while independent random samples of size 50 from eachpopulation resulted in sample mean starting salaries of $45,554 and $43,348 respectively. It isreasonable to assume that the starting salaries of both honours and general degree graduates arenormally distributed.a)Does this data provide sufficient evidence, at the 5% level of significance, to suggest thathonoursgraduates make higher mean starting salaries than general graduates?