In: Statistics and Probability
To test Upper H 0 : mu equals60 versus Upper H 1 : mu less than60, a random sample of size nequals 25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below.
(a) If x overbar =57.7and s=14.6, compute the test statistic. (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 table given.
(c) Draw a t-distribution that depicts the critical region.
(d) Will the researcher reject the null hypothesis?