A recent college graduate is trying to decide whether or not pursuing a Master's degree is worth it. He decides examine this question at the a = 0.10 level of significance, by comparing the salaries of a random sample of adults with only a Bachelor's degree to a random sample of adults with a Master's degree to see if the adults with a Master's degree earn more money. Let uB represent the average salary of an adult with a Bachelor's degree only and jAM represent the average salary of an adult with a Master's degree. Which would be correct hypotheses for this test? O Ho: HB = HM, H:B # µM O Ho: HB = HM H:HB < AM Ho:HB = HM, H:#B > HM OHo:HB # HM, H1:HB = HM A random sample of 61 adults with only a Bachelor's degree had an average salary of $47102, with a standard deviation of $1870. A random sample of 56 adults with a Master's degree had an average salary of $48956, with a standard deviation of $1571. Find the test statistic (2 decimal places): Give the P-value (4 decimal places - is less than 0.001 answer 0): Which is the correct result: Reject the Null Hypothesis Do not Reject the Null Hypothesis

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A recent college graduate is trying to decide whether or not pursuing a Master's degree is worth it. He
decides examine this question at the a = 0.10 level of significance, by comparing the salaries of a random
sample of adults with only a Bachelor's degree to a random sample of adults with a Master's degree to see if
the adults with a Master's degree earn more money. Let uB represent the average salary of an adult with a
Bachelor's degree only and AM represent the average salary of an adult with a Master's degree.
Which would be correct hypotheses for this test?
O Ho: HB = HM, H:B # UM
O Ho: 4B = HM, H:µB < AM
Ho:HB = HM, H:µB > µM
O Ho:HB HM, H1: HB = HM
A random sample of 61 adults with only a Bachelor's degree had an average salary of $47102, with a
standard deviation of $1870. A random sample of 56 adults with a Master's degree had an average salary of
$48956, with a standard deviation of $1571.
Find the test statistic (2 decimal places):
Give the P-value (4 decimal places - is less than 0.001 answer 0):
Which is the correct result:
Reject the Null Hypothesis
Do not Reject the Null Hypothesis
Which would be the appropriate conclusion?
There is significant evidence to suggest that adults with a Master's degree earn more than adults
with only a Bachelor's degree.
O There is not significant evidence to suggest that adults with a Master's degree earn more than adults
with only a Bachelor's degree.
Transcribed Image Text:A recent college graduate is trying to decide whether or not pursuing a Master's degree is worth it. He decides examine this question at the a = 0.10 level of significance, by comparing the salaries of a random sample of adults with only a Bachelor's degree to a random sample of adults with a Master's degree to see if the adults with a Master's degree earn more money. Let uB represent the average salary of an adult with a Bachelor's degree only and AM represent the average salary of an adult with a Master's degree. Which would be correct hypotheses for this test? O Ho: HB = HM, H:B # UM O Ho: 4B = HM, H:µB < AM Ho:HB = HM, H:µB > µM O Ho:HB HM, H1: HB = HM A random sample of 61 adults with only a Bachelor's degree had an average salary of $47102, with a standard deviation of $1870. A random sample of 56 adults with a Master's degree had an average salary of $48956, with a standard deviation of $1571. Find the test statistic (2 decimal places): Give the P-value (4 decimal places - is less than 0.001 answer 0): Which is the correct result: Reject the Null Hypothesis Do not Reject the Null Hypothesis Which would be the appropriate conclusion? There is significant evidence to suggest that adults with a Master's degree earn more than adults with only a Bachelor's degree. O There is not significant evidence to suggest that adults with a Master's degree earn more than adults with only a Bachelor's degree.
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