Do taller adults make more money? The authors of a paper investigated the association between height and earnings. They used the simple linear regression model to describe the relationship between x = heig (in inches) and y = weekly gross earnings (in dollars) from a sample of 28 men. The paper reported that the slope of the estimated regression line was b = 0.025 and the standard deviation of b was s = 0.005. Carry out a hypothesis test using a = 0.05 to decide if there is convincing evidence of a useful linear relationship between height and weekly earnings. You can assume that the basic assumptions of the simple linear regression model are met. State the appropriate null and alternative hypotheses. OH: B=0 H₂B>0 OHO: B>0 H: B<0 OH: B=0 H₂: B=0 OHO: B<0 H: B>0 OHO: B = 0 H₂: B<0 Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = What can you conclude? O Reject Ho. We do not have convincing evidence of a useful linear relationship between height and weekly earnings. O Fail to reject Ho. We do not have convincing evidence of a useful linear relationship between height weekly earnings. O Reject Ho. We have convincing evidence of a useful linear relationship between height and weekly earnings. O Fail to reject Ho. We have convincing evidence of a useful linear relationship between height and weekly earnings.
Do taller adults make more money? The authors of a paper investigated the association between height and earnings. They used the simple linear regression model to describe the relationship between x = heig (in inches) and y = weekly gross earnings (in dollars) from a sample of 28 men. The paper reported that the slope of the estimated regression line was b = 0.025 and the standard deviation of b was s = 0.005. Carry out a hypothesis test using a = 0.05 to decide if there is convincing evidence of a useful linear relationship between height and weekly earnings. You can assume that the basic assumptions of the simple linear regression model are met. State the appropriate null and alternative hypotheses. OH: B=0 H₂B>0 OHO: B>0 H: B<0 OH: B=0 H₂: B=0 OHO: B<0 H: B>0 OHO: B = 0 H₂: B<0 Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = What can you conclude? O Reject Ho. We do not have convincing evidence of a useful linear relationship between height and weekly earnings. O Fail to reject Ho. We do not have convincing evidence of a useful linear relationship between height weekly earnings. O Reject Ho. We have convincing evidence of a useful linear relationship between height and weekly earnings. O Fail to reject Ho. We have convincing evidence of a useful linear relationship between height and weekly earnings.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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Transcribed Image Text:Do taller adults make more money? The authors of a paper investigated the association between height and earnings. They used the simple linear regression model to describe the relationship between x = height
(in inches) and y = weekly gross earnings (in dollars) from a sample of 28 men.
The paper reported that the slope of the estimated regression line was b = 0.025 and the standard deviation of b was s= 0.005. Carry out a hypothesis test using a = 0.05 to decide if there is convincing
evidence of a useful linear relationship between height and weekly earnings. You can assume that the basic assumptions of the simple linear regression model are met.
State the appropriate null and alternative hypotheses.
OHO: B=0
H: B>0
OHO: B>0
H₂: B<0
OHO: B=0
H2:B.O
OHO: B<0
H: B>0
OH: B = 0
H: B<0
Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
t =
P-value =
What can you conclude?
O Reject Ho. We do not have convincing evidence of a useful linear relationship between height and weekly earnings.
O Fail to reject Ho. We do not have convincing evidence of a useful linear relationship between height weekly earnings.
O Reject Ho. We have convincing evidence of a useful linear relationship between height and weekly earnings.
O Fail to reject Ho. We have convincing evidence of a useful linear relationship between height and weekly earnings.
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