A group of middle school students rated their self-confidence on a scale of 1-10 (M = 6.87, N = 51).

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Homework 3:

A group of middle school students rated their self-confidence on a scale of 1-10 (M = 6.87, N = 51). Assume the mean self-confidence rating for the general population of middle school students is 7.82, with a standard deviation of 1.48. Did these students score differently on self-confidence than middle schoolers in general? Use the .05 alpha level. 

– Identify the hypotheses (alternative and null).

– Determine the characteristics of the comparison distribution (μM , σM  , shape?)

– Determine the cutoff sample score(s).

– Determine our sample’s score.

– Decide whether to reject the null hypothesis. 

 

Elementary School Teachers in the state of Georgia have an average of 19.3 students in their classroom while across the US the average number of students in the classroom are 20.9.  Let’s assume the standard deviation for the population (US classroom sizes) is 6 and the number of elementary school classrooms included in our study is 64. Are class sizes in Georgia smaller than the US as a whole? Use the .01 alpha level. 

– Identify the hypotheses (alternative and null).

– Determine the characteristics of the comparison distribution (μM , σM  , shape?)

– Determine the cutoff sample score(s).

– Determine our sample’s score.

– Decide whether to reject the null hypothesis. 

 

Based on the information given for each of the accompanying studies, decide whether to reject the null hypothesis. For each, give (a) the Z score cutoff(s) on the comparison distribution at which the null hypothesis should be rejected, (b) the Z score on the comparison distribution for your sample, and (c) the conclusion. Assume that all populations are normally distributed.

 

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