Before conducting the study, Ayat believed that Doctor Who required more concent

Question

Before conducting the study, Ayat believed that Doctor Who required more concentration to follow than other science fiction television shows. She read Adan's study and wondered whether the relationship he found was stable. Ayat expects Dr. Who viewers to be better rested than those who watch more general science fiction television. She designed a conceptual replication with a more conservative a.0.05. For a metaanalysis that included viewers of Doctor Who, Warehouse 14, Eureka!, and other science fiction television shows, Ayat found that the average hours slept by science fiction viewers was mu=7.00. She obtained a random sample of Doctor Who viewers from local colleges, and she had them complete a daily diary study (n=225). On average, her sample also got less sleep that that recommended by NIH (M=7.60, SD=0.50).

a) State the null and the directional hypothesis. State what the Type II error would be for this study

b)What is the probability of committing a Type I error for this study?

c) What decision did Ayat make? (Conduct a null-hypothesis test with the information given. Write the result in APA format.)

d) If her sample gets more sleep than the average Dr. Who viewer, did Ayat make a correct decision, a Type I Error, or a Type II Error (based on her sample data)?

e)Is the effect size small, medium or large?

Explanation / Answer

a. Hypotheses

Null Hypothesis (H0): There's no difference in the average sleeping hours of Dr. Who viewers and Science fiction viewers

Directional Hypothesis (H1): There is signifcant difference in the average sleeping hours of Dr. Who viewers and Science fiction viewers

Type II error for this study would be the probability of failing to reject a false H0

b. Probability of committing a Type I error

p = 1 - alpha

Here, alpha = 0.05

p = 1 - 0.05 = 0.95

e. Effect size

d = (mean of group1 - mean of group 2) / std deviation of pool

= (7.6 - 7.0) / 0.5 = 1.2

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