A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level. a) The null and alternative hypothesis would be: �0:��=�� �1:��≠�� �0:��=�� �1:��>�� �0:��=�� �1:��≠�� �0:��=�� �1:��<�� �0:��=�� �1:��>�� �0:��=�� �1:��<��
A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Test the student's claim at the 0.10 significance level. a) The null and alternative hypothesis would be: �0:��=�� �1:��≠�� �0:��=�� �1:��>�� �0:��=�� �1:��≠�� �0:��=�� �1:��<�� �0:��=�� �1:��>�� �0:��=�� �1:��<��
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
A student at a four-year college claims that
a) The null and alternative hypothesis would be:
- �0:��=��
�1:��≠�� - �0:��=��
�1:��>�� - �0:��=��
�1:��≠�� - �0:��=��
�1:��<�� - �0:��=��
�1:��>�� - �0:��=��
�1:��<��
b) Determine the test statistic. Round to two decimals.
�=
c) Find the p-value and round to 4 decimals.
p =
d) Make a decision.
- Fail to reject the null hypothesis
- Reject the null hypothesis
e) Write the conclusion.
- There is not sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college.
- There is sufficient evidence to support the claim that enrollement is high at a four-year college than a two-year college.
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