Use the given information to answer parts (a) through (d) Sample statistics x -357,s, -39.n, -17...

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math Statistics-And-Probability

Answer 1

Answer #1

Here pooled standard deviation

s_p = sqrt [{(n₁ -1)s₁² + (n₂ -1)s₂²}/ (n₁ + n₂ - 2)]

s_p = sqrt [(16 *3 .9 * 3.9 + 7 * 2.5 * 2.5)/ (17 + 8 -2)] = 3.5331

Here test statistic

t = (x?₁ - x?₂)/ [s_p * sqrt(1/n₁ + 1/n₂)]

t = (35.7 - 34.5)/ [3.5331 * sqrt (1/17 + 1/9)]

t = 1.2/ 1.4565

t = 0.8239

Here t < t₀ so we will fail to rejecthe null hypothesis and say both means are equal here.

Answer 2

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