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    hypothesis testing on biostatistics

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    1. The mean lifetime for cardiac stents is 8.9 years. A medical device company has implemented some improvements in the manufacturing process and hypothesizes that the lifetime is now longer. A study of 40 new devices reveals a mean lifetime of 9.7 years with a standard deviation of 3.4 years. Is there a statistical evidence of a prolonged lifetime of the stents? Run the test at a 5% level of significance.

    2. The Table below displays descriptive statistics on subjects involved in a clinical trial. Are any of the characteristics significantly different between groups? Justify briefly.
    New Compound Placebo p-value
    Mean age (years) 47.2 46.1 0.7564
    Men (%) 44 59 0.0215
    Mean educational level (years) 13.1 14.2 0.6898
    Mean annual income $36,560 $37,470 0.546
    Mean body mass index (BMI) 24.7 25.1 0.0851

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    Solution Preview

    1. Let mu be the mean lifetime for cardiac stents
    Ho: mu=8.9 vs. Ha: mu>8.9
    Test statistic=(9.7-8.9)/[3.4/sqrt(40)]=1.4881
    At level 5% ...

    Solution Summary

    The solution gived detailed steps on conducting the hypothesis testing which is done by excel. All formula and calculations are shown and explained.