A sleep researcher hypothesizes that college students who are deprived of sleep will perform significantly lower on tests of cognitive ability than the general student body who likely slept around eight hours. One standardized test of cognitive ability, called the STCA, reveals that mean score for college students who slept around eight hours is = 4.5.Scores on the STCA range from 1-9 with high scores indicating better performance.The researcher brings 15 volunteer participants into the sleep lab one night and limits their sleep to four hours. The next morning he administers the STCA. Their scores are below.

2,3,3,2,5,3,3,3,6, 7,2, 5,4,3,4

With = .05, determine the critical value of z* or t* that needs to be employed here.The value of the appropriate ofz*ort*is:

Group of answer choices

1.65

1.753

1.761

2.133

2.33

the correct value of z* or t*is not listed in alternatives "a" through "e"