The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to clear up severe bladder infections. Find a 90% confidence interval for the difference μ₂-μ₁ between in the mean recovery times for the two medications, assuming normal populations with equal variances. Medication 1 = 13 Medication 2 x₂ = 16 s² = 1.1 Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. n₁ = = 19 n₂ = = 11 x₁ = The confidence interval is

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The following data represent the length of time, in days, to recovery for patients
randomly treated with one of two medications to clear up severe bladder infections. Find
a 90% confidence interval for the difference μ₂-μ₁ between in the mean recovery times
for the two medications, assuming normal populations with equal variances.
n₁ = 13
X₁ = 11
Medication 1
+
X₂ = 16
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
Medication 2
= 19
n₂ =
The confidence interval is <H₂ − µ₁ < ·
(Round to two decimal places as needed.)
s²₁ =
S = 1.8
2
$₂
= 1.1
Transcribed Image Text:The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to clear up severe bladder infections. Find a 90% confidence interval for the difference μ₂-μ₁ between in the mean recovery times for the two medications, assuming normal populations with equal variances. n₁ = 13 X₁ = 11 Medication 1 + X₂ = 16 Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Medication 2 = 19 n₂ = The confidence interval is <H₂ − µ₁ < · (Round to two decimal places as needed.) s²₁ = S = 1.8 2 $₂ = 1.1
A graduate student wanted to estimate the average time spent studying among
graduate students at her school. She randomly sampled graduate students from her
school and obtained a 99% confidence interval of (17,25) hours/week. Which of the
following would be true if the level of confidence was lowered to 95%?
Choose the correct answer below.
OA. The width of the confidence interval would be smaller.
B. The width of the confidence interval would be larger.
C. The width of the confidence interval would remain the same.
D. More information is needed to determine what would happen to the width of the
confidence interval.
Transcribed Image Text:A graduate student wanted to estimate the average time spent studying among graduate students at her school. She randomly sampled graduate students from her school and obtained a 99% confidence interval of (17,25) hours/week. Which of the following would be true if the level of confidence was lowered to 95%? Choose the correct answer below. OA. The width of the confidence interval would be smaller. B. The width of the confidence interval would be larger. C. The width of the confidence interval would remain the same. D. More information is needed to determine what would happen to the width of the confidence interval.
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