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 0.05 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 uM represent the average salary of an adult with a Master's degree. Which would be correct hypotheses for this test? O Ho: HB = UM, H1: µB > HM O Ho: HB # HM, H1: µB = µM O Ho: HB = µM, H1:HB < HM O Ho: HB = HM, H1:HB # HM A random sample of 68 standard deviation of $1187. A random sample of 40 adults with a Master's degree had an average salary of $47214, with a standard deviation of $1769. dults with only a Bachelor's degree had an average salary of $45452, with a 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: O Reject the Null Hypothesis O Do not Reject the Null Hypothesis Which would be the appropriate conclusion? 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. O There is significant evidence to suggest that adults with a Master's degree earn more than adults with only a Bachelor's degree.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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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 0.05 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 uM represent the average salary of an adult with a Master's degree.
Which would be correct hypotheses for this test?
O Ho: HB = M, H1: HB > µM
O Ho:HB µM, H1 : µB = µM
O Ho: HB
= HM, H1: HB < µM
O Ho: HB = µM, H1: HB # UM
A random sample of 68 adults with only a Bachelor's degree had an average salary of $45452, with a
standard deviation of $1187. A random sample of 40 adults with a Master's degree had an average salary of
$47214, with a standard deviation of $1769.
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:
O Reject the Null Hypothesis
O Do not Reject the Null Hypothesis
Which would be the appropriate conclusion?
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.
O There is 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 0.05 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 uM represent the average salary of an adult with a Master's degree. Which would be correct hypotheses for this test? O Ho: HB = M, H1: HB > µM O Ho:HB µM, H1 : µB = µM O Ho: HB = HM, H1: HB < µM O Ho: HB = µM, H1: HB # UM A random sample of 68 adults with only a Bachelor's degree had an average salary of $45452, with a standard deviation of $1187. A random sample of 40 adults with a Master's degree had an average salary of $47214, with a standard deviation of $1769. 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: O Reject the Null Hypothesis O Do not Reject the Null Hypothesis Which would be the appropriate conclusion? 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. O There is 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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