he following statistical software output MPa) of concrete beams on modulus of elasticity (measured in GPa). ANOVA df SS MS F P-value 58.996 78.766 0.000 Regression Residual Total 58.996 25 18.736 0.749 26 77.732 Coefficients Standard Coefficients Error t Stat P-value Intercept Mod 32479 0.6083 5.339 0.000 Elasticity "0.10712 0.01207 8.875 0.000 (a) Create a 99% two-sided confidence interval for the slope. (Round your answers to 3 decimal places, if needed.)

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5
The following statistical software output is for a regression of flexural strength (measured in
MPa) of concrete beams on modulus of elasticity (measured in GPa).
ANOVA
df
SS
MS
P-value
58.996| 78.766
0.000
Regression
Residual
1.
58.996
25
18.736
0.749
Total
26
77.732
Coefficients
Standard
Coefficients
Error
t Stat P-value
Intercept
3.2479
0.6083
5.339
0.000
Mod
Elasticity
"0.10712
0.01207
8.875
0.000
(a) Create a 99% two-sided confidence interval for the slope. (Round your answers to 3
decimal places, if needed.)
(b) Based on this two-sided confidence interval, is there a relationship between the two
variables?
O Yes, since the interval is completely above 0.
O No, since the interval is completely above 0.
O No, since the interval contains 0.
O Yes, since the interval contains 0.
(c) Suppose it had previously been believed that when modulus of elasticity increased by 1
GPa, the associated true average change in flexural strength would be higher than 0.1 MPa.
Does the sample data support this belief? Use a 99% one-sided confidence interval to
determine the answer. (Round your answers to 3 decimal places, if needed.)
(d) Based on this one-sided confidence interval, does the sample data support this belief?
O No, since the interval is completely above 0.1.
O Yes, since the interval is completely above 0.1.
O Yes, since the interval contains 0.1.
O No, since the interval contains 0.1.
Transcribed Image Text:The following statistical software output is for a regression of flexural strength (measured in MPa) of concrete beams on modulus of elasticity (measured in GPa). ANOVA df SS MS P-value 58.996| 78.766 0.000 Regression Residual 1. 58.996 25 18.736 0.749 Total 26 77.732 Coefficients Standard Coefficients Error t Stat P-value Intercept 3.2479 0.6083 5.339 0.000 Mod Elasticity "0.10712 0.01207 8.875 0.000 (a) Create a 99% two-sided confidence interval for the slope. (Round your answers to 3 decimal places, if needed.) (b) Based on this two-sided confidence interval, is there a relationship between the two variables? O Yes, since the interval is completely above 0. O No, since the interval is completely above 0. O No, since the interval contains 0. O Yes, since the interval contains 0. (c) Suppose it had previously been believed that when modulus of elasticity increased by 1 GPa, the associated true average change in flexural strength would be higher than 0.1 MPa. Does the sample data support this belief? Use a 99% one-sided confidence interval to determine the answer. (Round your answers to 3 decimal places, if needed.) (d) Based on this one-sided confidence interval, does the sample data support this belief? O No, since the interval is completely above 0.1. O Yes, since the interval is completely above 0.1. O Yes, since the interval contains 0.1. O No, since the interval contains 0.1.
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