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Suppose you wanted to test the hypothesis that the average speed on a highway-- where the maximum legal speed is 55 mph--is not equal to 55 mph (i.e., H0: μ = 55; H1: μ ≠ 55). Speed guns are used to measure the speed of 64 drivers, and the mean is found to be 57.20, SD = 8.00. What is the calculated value of t for a one-sample t-test? With α = .05 for a 2-tailed test, is the sample mean of 57.20 significantly different from the hypothesized mean of 55.00 (i.e., can the null hypothesis be rejected)?
Step 1: Specify the hypotheses (symbolically)
Null Hypothesis: ?
Alternative hypothesis: ?
α = 0.05 (two-tailed)?
Step 2: Calculate the necessary statistics SEM= ? t = ?
Step 3: Establish the critical value and region of rejection. (Drawing the picture helps you understand the process) ?
Step 4: Make a decision regarding the null hypothesis: ?
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