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A researcher at the University of Michigan medical school believes that coffee consumption may increase the heart beat rate. Suppose it is known that the heart beat rate is normally distributed with an average of 70 for adults. A random sample of 25 adults was selected and it was found that their average heartbeat was 73 after coffee consumption, with a standard deviation of 7. Formulate the null and alternative hypothesis. Test the hypotheses in part (a) at the 10% significance level to determine if we can infer that coffee consumption increases the heart beat rate.

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