P - values 3. An aircraft manufacturer needs specialty steel rods with a tensile strength of at least 5,000 pounds. The firm's quality inspector tests a random sample of incoming steel rods. 64 rods are tested (n=64). The standard deviation is 800 pounds. (Assume that this represents the known population standard deviation $sigma$). The inspector finds a mean strength of $ar{X}$ = 4800 pounds. Test $H_0$: $mu ge$ 5000 pounds versus $H_A$: $mu$ < 5000. Use $alpha$ = .05. What is the p-value here?
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First, we need to identify the null hypothesis (Ho) and the alternative hypothesis (HA). In this case, the null hypothesis is that the mean tensile strength of the steel rods is greater than or equal to 5000 pounds (Ho: μ ≥ 5000). The alternative hypothesis is Show more…
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