a random sample of n = 36 students who registered for Introductory Psychology is placed in the online version of the course. At the end of the semester, all students take the same final exam. The average score for the sample is M = 76. For the general population of students taking the traditional lecture class, the final %3D exam scores form a normal distribution with a mean a. If the final exam scores for the population have of u a standard deviation of o = 12, does the sample provide enough evidence to conclude that the new online course is significantly different from the tra- ditional class? Use a two-tailed test with a = .05. b. If the population standard deviation is o = 18, is the sample sufficient to demonstrate a significant differ- ence? Again, use a two-tailed test with a = .05. c. Comparing your answers for parts a and b, explain how the magnitude of the standard deviation influ- ences the outcome of a hypothesis test. 71. %3D %3D

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a random sample of n = 36 students who registered
for Introductory Psychology is placed in the online
version of the course. At the end of the semester, all
students take the same final exam. The average score
for the sample is M = 76. For the general population
of students taking the traditional lecture class, the final
exam scores form a normal distribution with a mean
of u = 71.
a. If the final exam scores for the population have
a standard deviation of o = 12, does the sample
provide enough evidence to conclude that the new
online course is significantly different from the tra-
ditional class? Use a two-tailed test with a = .05.
%3D
b. If the population standard deviation is o = 18, is the
sample sufficient to demonstrate a significant differ-
ence? Again, use a two-tailed test with a = ,05.
c. Comparing your answers for parts a and b, explain
how the magnitude of the standard deviation influ-
ences the outcome of a hypothesis test.
Transcribed Image Text:a random sample of n = 36 students who registered for Introductory Psychology is placed in the online version of the course. At the end of the semester, all students take the same final exam. The average score for the sample is M = 76. For the general population of students taking the traditional lecture class, the final exam scores form a normal distribution with a mean of u = 71. a. If the final exam scores for the population have a standard deviation of o = 12, does the sample provide enough evidence to conclude that the new online course is significantly different from the tra- ditional class? Use a two-tailed test with a = .05. %3D b. If the population standard deviation is o = 18, is the sample sufficient to demonstrate a significant differ- ence? Again, use a two-tailed test with a = ,05. c. Comparing your answers for parts a and b, explain how the magnitude of the standard deviation influ- ences the outcome of a hypothesis test.
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