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Problem 5. Sampling from two populations produced the following results. ?Ì… =385 Sx=30 nx =100 ?? =...

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Statistics

Problem 5. Sampling from two populations produced the followingresults. ?Ì… =385 Sx=30 nx =100

?? = 3 7 8 S y = 2 5 n y = 9 0

  1. Find the standard error of (?Ì… - ??). Show yourcalculations.

  2. Find the 90% confidence interval estimate for the differencebetween the two population means.

    Show your calculations.

  3. State clearly the assumption(s) that are necessary for youranswer to (b) will be valid.

  4. Interpret your result in (b).

  5. It is claimed that the two population means are not differentfrom each other. Do you reject this

    claim? Explain clearly.

Answer & Explanation Solved by verified expert
4.3 Ratings (664 Votes)
Given 385 sx 30 nx n1 100 378 sx 25 ny n2 90QTo find standard Error SEFormula SE wheresd2 144725 188 7698138sd2 7698138HenceSE SE 403133Thus standard Error is SE 403133QFind the 90 confidence interval estimate for the differencebetween the two population means It is given byCI SE SE Here is tdistributed with n1n22 88 degree of freedom and010It can be computed from statistical book or more accurately fromany software like RExcelFrom R qt1012df1881 165299990 confidence interval estimate for the difference between thetwo population    See Answer
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