Health Care Knowledge Systems reported that an insured woman spends on average 2.3 days in the hospital for routine childbirth, while an uninsured woman spends on average 1.9 days. Assume two random samples of 16 women each were used in both samples. The population standard deviation of insured women is equal to 0.6 day, and the population standard deviation of uninsured women is 0.3 day. Find the 99% confidence interval for the differences of the means.

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Health Care Knowledge Systems reported that an insured woman spends on average 2.3 days in the
hospital for routine childbirth, while an uninsured woman spends on average 1.9 days. Assume two
random samples of 16 women each were used in both samples. The population standard deviation of
insured women is equal to 0.6 day, and the population standard deviation of uninsured women is 0.3
day. Find the 99% confidence interval for the differences of the means.
a) Which formula will you use for this problem?
O – za/2
<µ < ã + za/2
Vn
On =
E
O - ta/2
Vn
<H < ã + ta/2
Vn
Za12
On = · ĝ ·-
p q (
E
of
O (¤1 – ¤2) – Za/2
< Hi – Hz < (@1 – ¤2) + za/2· 1
n2
V ni
ni
n2
P2 â2
P2· 42
(P1 – P2) – Za/2
< Pi – P2 < (P1 – P2) + za/2 °
n1
n2
n1
n2
Op – za/2°
< p <p + za /2
n
n
O (ã1 – 72) – ta/2 · \/
< µ1 – µ2 < (ãi – ¤2) + ta/2 ·
V ni
ni
n2
n2
MacBook Air
DII
DD
80
888
F9
F10
F6
F7
F8
F3
F4
F5
2$
&
4
5
7
8.
< co
Transcribed Image Text:Health Care Knowledge Systems reported that an insured woman spends on average 2.3 days in the hospital for routine childbirth, while an uninsured woman spends on average 1.9 days. Assume two random samples of 16 women each were used in both samples. The population standard deviation of insured women is equal to 0.6 day, and the population standard deviation of uninsured women is 0.3 day. Find the 99% confidence interval for the differences of the means. a) Which formula will you use for this problem? O – za/2 <µ < ã + za/2 Vn On = E O - ta/2 Vn <H < ã + ta/2 Vn Za12 On = · ĝ ·- p q ( E of O (¤1 – ¤2) – Za/2 < Hi – Hz < (@1 – ¤2) + za/2· 1 n2 V ni ni n2 P2 â2 P2· 42 (P1 – P2) – Za/2 < Pi – P2 < (P1 – P2) + za/2 ° n1 n2 n1 n2 Op – za/2° < p <p + za /2 n n O (ã1 – 72) – ta/2 · \/ < µ1 – µ2 < (ãi – ¤2) + ta/2 · V ni ni n2 n2 MacBook Air DII DD 80 888 F9 F10 F6 F7 F8 F3 F4 F5 2$ & 4 5 7 8. < co
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