Two-Tail Hypothesis Testing and Confidence Intervals

1. A certain type of cable was advertised as having a breaking strength of 1000 pounds. A test of XX pieces of this cable was conducted and the mean breaking strength of this sample was XXX pounds with a sample standard deviation of XX pounds. Conduct a two-tail hypotheses test at alpha = .05 to determine if this sample data provides sufficient evidence to indicate that the cable is as strong as advertised.

2. Conduct a 95% confidence interval on the sample data in the problem above.

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...e is small, then the test statistic is
t = (x - μ)/S/√n
This follows t distribution with n-1 degrees of freedom.
For this we have
t = (XXX ...