Consider the following data collected regarding infant blood pressure, age, and birth weight: i Birth weight in oz. (x1)
SHOW ALL WORK. Interpret confidence intervals and explain the conclusions
from hypothesis tests. For all hypothesis tests, clearly state the null and
alternative hypotheses, the significance level, the test statistic, the p-‐value, and
your conclusion. If you are using a t-statistic, clearly note how many degrees of
freedom you have.
1. Consider the following data collected regarding infant blood pressure, age, and
birth weight:
i
Birth weight in
oz. (x1)
Age in
days (x2)
Systolic Blood Pressure
mmHg (y)
1 135 3 89
2 120 4 90
3 100 3 83
4 105 2 77
5 130 4 92
6 125 5 98
7 125 2 82
8 105 3 85
9 120 5 96
10 90 4 95
11 120 2 80
12 95 3 79
13 120 3 86
14 150 4 97
15 160 3 92
16 125 3 88
A. Interpret the corresponding 95% confidence intervals for both Birth weight
and Age.
B. What is the predicted average SBP of an infant born with birth weight 8lbs
(128oz) measured at 3 days old?
C. Calculate the Pearson
if this correlation is significant at the 0.05 level. Does this answer surprise
you, why or why not?
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