Statistics: Hypothesis tests: Z-test – #29435

Question: TTinc, a company that manufactures engines for NASCAR drivers, gathered data for all its plants. You are the chief engineer of the Oklahoma plant and want to test the claim that the Oklahoma plant’s distribution of life spans mimics the firm’s distribution. The table below contains the distribution of the life span of these engines in days for the entire company and the data on the random sample of 591 engines from your plant. Using the sample test the claim at ? = 0. 05.

Days Under 70 70-79 80-89 90-99 100-109
Relative Frequency 0.078 0.205 0.491 0.151 0.075
OK engines 105 26 152 182 126


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