A sleep researcher hypothesizes that college students who are deprived of sleep

Question

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 µ = 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 of z* or t* is:

a. 1.65 b.1.753 c.1.761 d.2.133 e.2.33 f.none of the above

Explanation / Answer

t-table is to be used here.

This is a one-sided t-test with df=(15-1)=14

tcritical for 0.05 alpha and 14 degrees of freedom is 1.761

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