The cooling system in a nuclear submarine consists of an assembly of welded pipes through which a coolant is circulated. Specifications require that weld strength must meet or exceed 150 psi. Based on a random sample of 20 welds, the design engineers decide to test the null hypothesis stating that the mean weld strength is 150 psi versus the alternative hypothesis stating that the mean weld strength exceeds 150 psi. Assuming that the weld strength is normally distributed, one would reject the null hypothesis at a significance level of 0.05 when the test statistic exceeds [ ]. Please keep THREE digits past the decimal point. _____________
In the same context as Question 1, the random sample of 20 welds results in a mean weld strength of 153.7 psi, with a sample standard deviation of 11.3 psi. What is the p-value of this upper-tailed test? Please keep THREE digits past the decimal point. _____________