3. A researcher is interested in knowing if preterm infants with late metabolic acidosis and preterm infants without the condition differ with respect to urine levels of a certain chemical. The mean levels, standard deviations, and sample sizes from the two samples are given below. Assuming that the populations have equal variances: ttesti 38 8.5 3.5 32 6.85 2.6 a. Fill in the missing pieces of the Stata output. Two-sample t test with A variances X y combined diff Obs Ho: diff = 0 38 32 Sample With condition Without condition 70 diff mean(x) Ha: diff < 0 Pr(Tt) = 0.9845 Mean 8.5 6.85 7.745714 C n 38 32 mean(y) .567775 B mean 8.5 6.85 Std. Err. Std. Dev. [95% Conf. Intervall 3834311 D S 3.5 2.6 3.5 2.6 3.208015 Ha: diff != 0 Pr(|T| > |t|) = F 7.349579 5.9126 6.98079 .1552544 degrees of freedom = 9.650421 7.7874 8.510638 3.144746 t = E 68 Ha: diff> 0 Pr(Tt) = 0.0155 b. What is the conclusion of your test? c. Use this output to construct a 99% confidence interval for the difference between the two means.
3. A researcher is interested in knowing if preterm infants with late metabolic acidosis and preterm infants without the condition differ with respect to urine levels of a certain chemical. The mean levels, standard deviations, and sample sizes from the two samples are given below. Assuming that the populations have equal variances: ttesti 38 8.5 3.5 32 6.85 2.6 a. Fill in the missing pieces of the Stata output. Two-sample t test with A variances X y combined diff Obs Ho: diff = 0 38 32 Sample With condition Without condition 70 diff mean(x) Ha: diff < 0 Pr(Tt) = 0.9845 Mean 8.5 6.85 7.745714 C n 38 32 mean(y) .567775 B mean 8.5 6.85 Std. Err. Std. Dev. [95% Conf. Intervall 3834311 D S 3.5 2.6 3.5 2.6 3.208015 Ha: diff != 0 Pr(|T| > |t|) = F 7.349579 5.9126 6.98079 .1552544 degrees of freedom = 9.650421 7.7874 8.510638 3.144746 t = E 68 Ha: diff> 0 Pr(Tt) = 0.0155 b. What is the conclusion of your test? c. Use this output to construct a 99% confidence interval for the difference between the two means.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:.
3. A researcher is interested in knowing if preterm infants with late metabolic
acidosis and preterm infants without the condition differ with respect to urine
levels of a certain chemical. The mean levels, standard deviations, and sample
sizes from the two samples are given below. Assuming that the populations have
equal variances:
a. Fill in the missing pieces of the Stata output.
ttesti 38 8.5 3.5 32 6.85 2.6
X
y
Two-sample t test with A variances
combined
diff
Obs
Ho: diff=0
38
32
Sample
With condition
70
diff mean(x)
n
38
Without condition 32
Ha: diff < 0
Pr(Tt) = 0.9845
Mean
8.5
6.85
7.745714
C
mean (y)
mean
8.5
6.85
.567775
B
Std. Err. Std. Dev.
.3834311
S
3.5
2.6
3.5
2.6
3.208015
Ha: diff != 0
Pr(|T| > |t|) = F
[95% Conf. Intervall
7.349579
5.9126
6.98079
.1552544
t =
degrees of freedom =
9.650421
7.7874
8.510638
3.144746
E
b. What is the conclusion of your test?
c. Use this output to construct a 99% confidence interval for the difference
between the two means.
68
Ha: diff0
Pr(Tt) = 0.0155
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