A hypothesis test procedure uses paired samples to compare the mean paired difference of a population of paired observations to the number 4.7. A simple random sample of 33 paired differences is collected, yielding in the following sample statistics: x₁ =25.9, x2 =24.2, s₁ =4.2, s2 =6.9, Sd =6.1 Compute the test statistic for the following null and alternative hypotheses. Use two decimal place accuracy. H₁ : µ1 − µ2 =4.7 HA M₁ M₂ <4.7 2
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![A hypothesis test procedure uses paired samples to compare the mean paired difference of a population of paired observations to the number 4.7. A simple random sample of 33 paired differences is collected, yielding the following sample statistics:
\[
\bar{x}_1 = 25.9 , \quad \bar{x}_2 = 24.2 , \quad s_1 = 4.2 , \quad s_2 = 6.9 , \quad s_d = 6.1
\]
Compute the test statistic for the following null and alternative hypotheses. Use two decimal place accuracy.
\[
H_0 : \mu_1 - \mu_2 = 4.7
\]
\[
H_A : \mu_1 - \mu_2 < 4.7
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