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Normally distributed with a a mean

A brake assembly has been tested and found to have a capacity that is normally distributed with a a mean of 275 lb and a stadard deviation of 25lb. If a normally distributed force having a mean of 180lb and standard deviation of 30 lb is applied, what is the static reliability? As the variability ( variance) of either the strength or load increases, what happens to the the reliability?

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## Q : Appropriate null and alternative hypotheses

state the appropriate null and alternative hypotheses; Ho= , Ha= calculate the test statistic. c) calculate the corresponding p-value ( or range for the p-value)