4 to test ho 60 versus h 60 a random sample of size n 23 is obtained f

Question

4. To test Ho: = 60 versus H: µ<60, a random sample of size n= 23 is obtained from a population that is known to benormally distributed. Complete parts (a) through (d) below. (a) If x = 57.8 and s = 11:1, compute the test statistic.to =.(Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.1 level of significance, determine the critical value(s).Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution tablegiven. Critical Value: (c) Draw a t-distribution that depicts the critical region. Choose the correct answer below. OA.O B.С.
(d) Will the researcher reject the null hypothesis? A. No, because the test statistic falls in the critical region.B. Yes, because the test statistic falls in the critical region.C. No, because the test statistic does not fall in the critical region.D. Yes, because the test statistic does not fall in the critical region.