Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table)

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Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table)

Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or t table)

H₀: μ₁ − μ₂ = 0
H_A: μ₁ − μ₂ ≠ 0

${\bar{x}}_{1}$ = 57	${\bar{x}}_{2}$ = 63
σ₁ = 11.5	σ₂ = 15.2
n₁ = 20	n₂ = 20

a-1. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Test Statistic ?

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Answer 1

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Answer #1

The statistical software output for this problem is:

Two sample Z summary hypothesis test: HMean of population 1 (Std dev = 11.5) Hy : Mean of population 2 (Std dev = 15.2) H - H

From above output:

P - value = 0.1592

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Answer 2

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Answer 3

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