This question uses data on the average birth weight (measured in grams) of infants born in a given state in 2019 and the average age (measured in years) of birth mothers in the state. Use the provided Stata output to answer the following questions. 1. Give the lower bound of the 95 percent confidence interval for the population slope coefficient. Round to three decimal places. Lower bound= 2. Perform a two-sided test of the hypothesis that the, average age of birth mothers is not associated with infant birth weight at the 5% significance level. A. What is the relevant t-statistic? t= B. What is the conclusion? Enter your answer as the letter only (eg., A) from the list below. Conclusion= 3. Someone claims that a one year increase in the average age of birth mothers is associated with an increase in average infant birth weight of less than 15 grams. Perform a test of this claim at the 10% significance level using the p-value approach. A. Choose options below for the null and alternative hypotheses. Enter your answer as the letter only (eg., A). Null hypothesis: Alternative hypothesis: B. What is the relevant t-statistic? Round to three decimal places. t= C. What is the relevant p-value? p= D. What is the conclusion? Enter your answer as the letter only (eg., A) from the list below. Conclusion=
This question uses data on the average birth weight (measured in grams) of infants born in a given state in 2019 and the average age (measured in years) of birth mothers in the state. Use the provided Stata output to answer the following questions. 1. Give the lower bound of the 95 percent confidence interval for the population slope coefficient. Round to three decimal places. Lower bound= 2. Perform a two-sided test of the hypothesis that the, average age of birth mothers is not associated with infant birth weight at the 5% significance level. A. What is the relevant t-statistic? t= B. What is the conclusion? Enter your answer as the letter only (eg., A) from the list below. Conclusion= 3. Someone claims that a one year increase in the average age of birth mothers is associated with an increase in average infant birth weight of less than 15 grams. Perform a test of this claim at the 10% significance level using the p-value approach. A. Choose options below for the null and alternative hypotheses. Enter your answer as the letter only (eg., A). Null hypothesis: Alternative hypothesis: B. What is the relevant t-statistic? Round to three decimal places. t= C. What is the relevant p-value? p= D. What is the conclusion? Enter your answer as the letter only (eg., A) from the list below. Conclusion=
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Transcribed Image Text:This question uses data on the average birth weight (measured in grams) of infants born in a given
state in 2019 and the average age (measured in years) of birth mothers in the state, Use the
provided Stata output to answer the following questions.
1. Give the lower bound of the 95 percent confidence interval for the population slope coefficient.
Round to three decimal places. Lower bound=
2. Perform a two-sided test of the hypothesis that the,average age of birth mothers is not
associated with infant birth weight at the 5% significance level.
A. What is the relevant t-statistic? t=
B. What is the conclusion? Enter your answer as the letter only (eg., A) from the list below.
Conclusion=
3. Someone claims that a one year increase in the average age of birth mothers is associated with
an increase in average infant birth weight of less than 15 grams. Perform a test of this claim at
the 10% significance level using the p-value approach.
A. Choose options below for the null and alternative hypotheses. Enter your answer as the
letter only (eg., A). Null hypothesis:
Alternative hypothesis:
B. What is the relevant t-statistic? Round to three decimal places. t=
C. What is the relevant p-value? p=
D. What is the conclusion? Enter your answer as the letter only (eg., A) from the list below.
Conclusion=
4. Predict the average birth weight in a state where the average age of birth mothers is 33 years.
Round to three decimal places. Predicted value=
![Stata output:
. reg birthweight avg_age
Source I
ss
df
MS
Number of obs =
36
F( 1,
34) -
3.86
Model I 11779.8579
Residual | 103778.176
1
11779.8579
Prob > F
0.0577
34 3052.29929
R-squared
Adj R-squared =
0.1019
0.0755
Total |
115558.034
35 3301.65811
Root MSE
55.248
birthweight I
Coef.
Std. Err.
P>It|
[958 Conf. Interval]
avg_åge
16.66
8.50
1.96
0.058
-.595
2267.5
33.915
cons |
2775.00
250.00
11.10
0.000
3282.5
invttail (34,0.005)=2.73
invttail (34,0.01)=2.44
invttail (34,0.025)=2.03
invttail (34,0.05)=1.69
invttail (34,0.1)=1.31
invttail (34,0.2)=0.85
invttail (35,0.005)=2.72
invttail(35, 0.01)=2.43
invttail (35,0.025)=2.02
invttail (35,0.05)=1.68
invttail (35,0.1)=1.30
invttail (35,0.2)=0.84
invttail(36,0.005)=2.71
invttail(36,0.01)=2.42
invttail (36,0.025)=2.01
invttail(36,0.05)=1.67
invttail(36,0.1)=1.29
invttail(36,0.2)=0.83
p=Pr(T34>0.195)=0.43
p=Pr(T34>1.66) =0.06
p=Pr (T35>0.195)=0.42
p=Pr(T35>1.66)=0.05
p=Pr(T35>1.96)=0.02
p=Pr(T36>0.195)=0.41
p=Pr(T36>1.66)=0.04
p=Pr(T36>1. 96) =0.01
p=Pr(T34>1.96)=0.03
p=Pr(|T34|>0.195)=0.86
p=Pr(|T34 |>1.66)=0.12
p=Pr(|T34|>1.96)=0.06
p=Pr(|T35|>0.195)=0.84
p=Pr(|T35|>1.66)=0.10
p=Pr(|T35|>1.96)=0.04
p=Pr(|T36|>0.195)=0.82
p=Pr(|T36|>1.66)=0.08
p=Pr(|T36|>1.96)=0.02
p=1-Pr(T34>0.195)=0.57
p=1-Pr(T34>1.66)=0.94
p=1-Pr(T34>1.96)=0.97
p=1-Pr(T35>0.195)=0.58
p=1-Pr(T35>1.66)=0.95
p=1-Pr(T36>0.195)=0.59
p=1-Pr(T36>1.66)=0.96
p=1-Pr(T36>1.96)=0.99
p-1-Pr(T35>1.96)=0.98
7
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Transcribed Image Text:Stata output:
. reg birthweight avg_age
Source I
ss
df
MS
Number of obs =
36
F( 1,
34) -
3.86
Model I 11779.8579
Residual | 103778.176
1
11779.8579
Prob > F
0.0577
34 3052.29929
R-squared
Adj R-squared =
0.1019
0.0755
Total |
115558.034
35 3301.65811
Root MSE
55.248
birthweight I
Coef.
Std. Err.
P>It|
[958 Conf. Interval]
avg_åge
16.66
8.50
1.96
0.058
-.595
2267.5
33.915
cons |
2775.00
250.00
11.10
0.000
3282.5
invttail (34,0.005)=2.73
invttail (34,0.01)=2.44
invttail (34,0.025)=2.03
invttail (34,0.05)=1.69
invttail (34,0.1)=1.31
invttail (34,0.2)=0.85
invttail (35,0.005)=2.72
invttail(35, 0.01)=2.43
invttail (35,0.025)=2.02
invttail (35,0.05)=1.68
invttail (35,0.1)=1.30
invttail (35,0.2)=0.84
invttail(36,0.005)=2.71
invttail(36,0.01)=2.42
invttail (36,0.025)=2.01
invttail(36,0.05)=1.67
invttail(36,0.1)=1.29
invttail(36,0.2)=0.83
p=Pr(T34>0.195)=0.43
p=Pr(T34>1.66) =0.06
p=Pr (T35>0.195)=0.42
p=Pr(T35>1.66)=0.05
p=Pr(T35>1.96)=0.02
p=Pr(T36>0.195)=0.41
p=Pr(T36>1.66)=0.04
p=Pr(T36>1. 96) =0.01
p=Pr(T34>1.96)=0.03
p=Pr(|T34|>0.195)=0.86
p=Pr(|T34 |>1.66)=0.12
p=Pr(|T34|>1.96)=0.06
p=Pr(|T35|>0.195)=0.84
p=Pr(|T35|>1.66)=0.10
p=Pr(|T35|>1.96)=0.04
p=Pr(|T36|>0.195)=0.82
p=Pr(|T36|>1.66)=0.08
p=Pr(|T36|>1.96)=0.02
p=1-Pr(T34>0.195)=0.57
p=1-Pr(T34>1.66)=0.94
p=1-Pr(T34>1.96)=0.97
p=1-Pr(T35>0.195)=0.58
p=1-Pr(T35>1.66)=0.95
p=1-Pr(T36>0.195)=0.59
p=1-Pr(T36>1.66)=0.96
p=1-Pr(T36>1.96)=0.99
p-1-Pr(T35>1.96)=0.98
7
8
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