Question

Q2. The samples ?X1 = (X11, X12, ..., X1n) and ?X2 = (X21, X22, ..., X2n) are drawn from a Normally distributed two populations with parameters (?1, ?1^2) and (?2, ?2^2), respectively. ¯X1 = 15.2, ¯X2 = 8.7, s?1X^2 = 25.8, s?2X^2 = 17.3, n1 = 13, n2 = 15 and ?1^2 = ?2^2 is known. Then, find confidence interval for the difference of the population means (?1 ? ?2) at 90% confidence level.

Name: Q2. The samples ?X1 = (X11, X12, ..., X1n) and ?X2 = (X21, X22, ..., X2n) are drawn from a Normally distributed two populations with parameters (?1, ?1^2) and (?2, ?2^2), respectively. ¯X1 = 15.2, ¯X2 = 8.7, s?1X^2 = 25.8, s?2X^2 = 17.3, n1 = 13, n2 = 15 and ?1^2 = ?2^2 is known. Then, find confidence interval for the difference of the population means (?1 ? ?2) at 90% confidence level.
Uploaded: 2023-09-07T01:06:19-08:00
Duration: 1 min 46 s
Channel: Lien Le
Description: Q2. The samples ?X1 = (X11, X12, ..., X1n) and ?X2 = (X21, X22, ..., X2n) are drawn from a Normally distributed two populations with parameters (?1, ?1^2) and (?2, ?2^2), respectively. ¯X1 = 15.2, ¯X2 = 8.7, s?1X^2 = 25.8, s?2X^2 = 17.3, n1 = 13, n2 = 15 and ?1^2 = ?2^2 is known. Then, find confidence interval for the difference of the population means (?1 ? ?2) at 90% confidence level.

          Q2. The samples ?X1 = (X11, X12, ..., X1n) and ?X2 = (X21, X22, ..., X2n) are drawn from a Normally distributed two populations with parameters (?1, ?1^2) and (?2, ?2^2), respectively. ¯X1 = 15.2, ¯X2 = 8.7, s?1X^2 = 25.8, s?2X^2 = 17.3, n1 = 13, n2 = 15 and ?1^2 = ?2^2 is known. Then, find confidence interval for the difference of the population means (?1 ? ?2) at 90% confidence level.

Q2. The samples ?X1 = (X11, X12, ..., X1n) and ?X2 = (X21, X22, ..., X2n) are drawn from a Normally distributed two populations with parameters (?1, ?1^2) and (?2, ?2^2), respectively. ¯X1 = 15.2, ¯X2 = 8.7, s?1X^2 = 25.8, s?2X^2 = 17.3, n1 = 13, n2 = 15 and ?1^2 = ?2^2 is known. Then, find confidence interval for the difference of the population means (?1 ? ?2) at 90% confidence level.

Added by Michelle L.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Lien Le

09/07/2023

Step 1

The point estimate of the difference of population means is given by: x̄1 - x̄2 = 15.2 - 8.7 = 6.5 Show more…

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Q2. The samples X1 = (X11, X12, ..., X1n) and X2 = (X21, X22, ..., X2n) are drawn from a Normally distributed two populations with parameters (μ1, σ1^2) and (μ2, σ2^2), respectively. X1 = 15.2, X2 = 8.7, s1x^2 = 25.8, s2x^2 = 17.3, n1 = 13, n2 = 15 and σ1^2 = σ2^2 is known. Then, find confidence interval for the difference of the population means (μ1 - μ2) at 90% confidence level.