State College is evaluation a new English composition course forfreshmen. A random sample of n = 25 freshmen is obtained and thestudents are placed in the course during their first semester. Oneyear later, a writing sample is obtained for each student and thewriting samples are graded using a standardized evaluationtechnique. The average score for the sample is M = 76. For thegeneral population of college students, writing scores form anormal distribution with a mean of µ > 70. a. If the writingscores for the population have a standard deviation of σ = 20, doesthe sample provide enough evidence to conclude that the newcomposition course has a significant effect? Assume a two-tailedtest with α = .05. b. If the population standard deviation is σ =10, is the sample sufficient to demonstrate a significant effect?Again, assume a two-tailed test with α = .05. c. Comparing youranswers for parts a and b, explain how the magnitude of thestandard deviation influences the outcome of a hypothesis test.

The null hypothesis states that the population mean is(answer with wholenumber).    With σ = 20, thesample mean corresponds to z = (round answer to twodecimal places). This (is OR isnot) sufficient to reject the null hypothesis. You(can OR cannot) conclude that the coursehas a significant effect. However if the population standarddeviation is σ = 10, the sample mean corresponds to z =(round answer to two decimal places).This (is OR is not) sufficient to rejectthe null hypothesis and conclude that the course (doesOR does not) have a significant effect.