Please help with my statistics homework!

Please help with my statistics homework!




State college is evaluating a new English composition course for freshman. A random sample of n=25 freshmen is obtained and the students are placed in the course during their first semester. One year later, a writing sample is obtained for each student and the writing samples are graded using a standardized evaluation technique. The average score for the sample is M= 76. For the general population of college students, writing scores form a normal distribution with a mean of u=70.



a. If the writing scores for the population have a standard deviation of o=20, does the sample provide enough evidence to conclude that the new composition course has a significant effect? Assume a two-tailed test with a =.05



b. If the population standard deviation is o=10, is the sample sufficient to demonstrate a significant effect? Again, assume a two-tailed test with a= .05



c. Comparing your answers for parts a and b, explain how the magnitude of the standard deviation influences the outcome of a hypothesis test.





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