The sample statistics are m cars hypothesis tests n x

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Unformatted text preview: nd 28 J cars (from Japan) were road tested to compare mpg performance. The sample statistics are: M Cars Hypothesis Tests n x s J Cars 24 28 29.8 27.3 2.56 1.81 Difference Between 2 Population Means parameter point estimate standard error DM–J = μM – μJ d x −J= 5 =M x 2 . s 2 s2 s = M + J =06 5 .2 d n n M J margin of error interval estimate tα 2 s 2 s22 1 + n n2 1 s2 s22 1 + nn 1 2 d ±tα 2 degrees of df = freedom (+ ) ( )+ ( ) s2 1 n1 s2 1 1 n1 − n1 1 2 s22 n2 2 s22 1 n2 − n2 1 2 Example Given these samples, what is the margin of error for 90% confidence of the difference between the 2 population means? Specific Motors of Detroit has developed a new automobile known as the M car. 24 M cars and 28 J cars (from Japan) were road tested to compare need the mpg performance. The sample degrees of statistics are: Hypothesis Tests freedom to use M the t- Cars J Cars n 24 28 distribution x s 29.8 2.56 27.3 1.81 Difference Between 2 Population Means parameter point estimate standard error DM–J = μM – μJ d x −J= 5 =M x 2 . s 2 s2 s = M + J =06 5 .2 d n n M J margin of error interval estimate tα 2 s 2 s22 1 + n n2 1 s2 s22 1 + nn 1 2 d ±tα 2 degrees of df = freedom (+ ) ( )+ ( ) s2 1 n1 s2 1 1 n1 − n1 1 2 s22 n2 2 s22 1 n2 − n2 1 2 Given these samples, what is the margin of error for 90% confidence of the difference between the 2 population means? Example Difference Between 2 Population Means Specific Motors of Detroit has developed a new automobile known as the M car. 24 M cars and 28 J cars (from Japan) were road tested to compare need the need the mpg performance. The sample degrees of statistics are: of degrees Hypothesis Tests freedom to use freedom to use M the t- Cars J Cars the t- 24 n distribution s 28+ s distribution (n n x 29.8 27.3 2 M df = s 2.56 = J M 1 nM 2 J parameter point estimate standard error ) 2 ( 1.81+ ( ) ) sM 2 −1 n M 2 sJ 2 1 n J −1 n J 2 (+) ( )+ ( ) 2.56 2 24 1 2.56 2 24 −1 24 1.812 28 2 = 40.58 ≈ 40 2 1 1.812 28 −1 28 2 DM–J = μM – μJ d x −J= 5 =M x 2 . s 2 s2 s = M + J =06 5 .2 d n n M J margin of error interval estimate tα 2 s 2 s22 1 + n n2 1 s2 s22 1 + nn 1 2 d ±tα 2 degrees of df = freedom (+ ) ( )+ ( ) s2 1 n1 s2 1 1 n1 − n1 1 2 s22 n2 2 s22 1 n2 − n2 1 2 Example Given these samples, what is the margin of error for 90% confidence of the difference between the 2 population means? Specific Motors of Detroit has developed a new automobile known as the M car. 24 M cars and 28 J cars (from Japan) s1 2 s2 2 tα 2 n1 + 2 were road testedn to compare mpg performance. The sample sM 2 sJ 2 = 10 2 statisticst.are: n M + n J Hypothesis Tests = t.M 2Cars 10 ⋅ 0 . 625 J Cars n = 1 . 684 ⋅ 0 .625 28 24 x = 1 . 053 29.8 27.3 s 2.56 1.81 Difference Between 2 Population Means DM–J = μM – μJ parameter point estimate standard error d x −J= 5 =M x 2 . s 2 s2 s = M + J =06 5 .2 d n n M J margin of error interval estimate degrees of df = freedom tα 2 s 2 s22 1 + n n2 1 s2 s22 1 + nn 1 2 d ±tα 2 ( + ) ≈40 ( )+ ( ) sM2 nM sM2 1 nM − nM 1 2 sJ 2 nJ 2 sJ 2 1 nJ − nJ 1 2 Example Given these samples, what is the...
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This document was uploaded on 03/05/2014.

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