Two teaching methods and their effects on science test scores are being reviewed. A random sample of 88 students, taught in traditional lab sessions, had a mean test score of 72.172.1 with a standard deviation of 4.74.7. A random sample of 1010 students, taught using interactive simulation software, had a mean test score of 76.476.4 with a standard deviation of 3.33.3. Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software? Let μ1�1 be the mean test score for the students taught in traditional lab sessions and μ2�2 be the mean test score for students taught using interactive simulation software. Use a significance level of α=0.1�=0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed. Step 3 of 4 :   Determine the decision rule for rejecting the null hypothesis H0�0. Round your answer to three decimal places.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...