Assignment #11 Single Sample t-Test
What factor determines whether you should use a z-test or a t-test statistic for a hypothesis test?
A sample of n = 16 individuals is selected from a population mean of : = 74. A treatment is administered to the individuals in the sample and, after treatment, the sample variance is found to be s2 = 64.
A major corporation in the Northeast noted that last year its employees averaged : = 5.8 absences during the winter season (December to February). In an attempt to reduce absences, the company offered free flu shots to all employees this year. For a sample of n = 100 people who took the shots, the average number of absences this winter was M = 3.6 with SS = 396. Do these data indicate a significant decrease in the number of absences? Use a one-tailed test with ” = .05.
On a standardized spatial skills task, normative data reveal that people typically get : = 15 correct solutions. A psychologist tests n = 7 individuals who have brain injuries in the right cerebral hemisphere. For the following data, determine whether or not right-hemisphere damage results in significantly reduced performance on the spatial skills task. Test with alpha (“) set at .05 with one tail. The data are as follows: 12, 16, 9, 8, 10, 17, 10.
I. Assumptions for t-test A. Populations
Single Sample t-test
1. the population from which the sample is selected is normal
A. Significance level (should be given or decided prior to the research; also called the
confidence, alpha, or p level)
1. α or p = .05, .01, or .001
1. df = n – 1
D. With degrees of freedom & one- or two-tailed α value, find the critical t value
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