Dr. Sharp wants to know if the students in his college have better than average
ID: 3181886 • Letter: D
Question
Dr. Sharp wants to know if the students in his college have better than average study skills. He knows that the norms of the National Collegiate Study Skills Test report the mu = 80 and sigma_x = 9. He obtains data on a random sample of students from his college. Using the sample data below, answer the following questions: 81 84 83 85 79 88 90 80 86 84 85 86 87 79 83 Would this be a one-tailed or two-tailed test and why? What are H_o and H_a for this data? Compute z_obt With a alpha = .05, what is z_crit ? What should we conclude about the relationship here? In this example, what is the actual probability of making a Type I error? If we made such an error, what would that error mean in words? (Relate to Dr. Sharp's college and test of study skills) In this example, what is the actual probability of making a Type II error? If we made such an error, what would that error mean in words? (Relate to Dr. Sharp's college and test of study skills)Explanation / Answer
7) it is one tailed and right tailed test
b)Ha" mean =80
Ho: mean>80
c) for above std error =std deviation/(n)1/2 =9/(15)1/2=2.3238
as mean of above sample =84
hence zobt =(X-mean)/std error =(84-80)/2.3238=1.7213
d)z crit =1.6449
e)as z obt is in rejection region we reject null hypothesis and conclude that student in Dr. Sharp class has better skills
f) type I error probabilty =0.05 . This means we reject null hypothesis even though it is true. Means even if Dr. Sharp student have similar skills as national average but we reject that.
g)type ii errror =0.0425 =pvalue. which signifies accepting that Dr. Sharp student has skills bettter then national average, we accept that they have similar skills as national average
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