Question

In: Statistics and Probability

To test Upper H 0 ​: mu equals60 versus Upper H 1 ​: mu less than60​,...

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?

Solutions

Expert Solution

a-b)

c)

d) The researcher will fail to reject the null hypothesis


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