In: Statistics and Probability
A cloth manufacturing company claims that the mean tearing strength of their curtain fabric is 120 pounds. A government inspection agency conducted tests on 100 curtain lengths revealing a mean strength of 115 pounds with a standard deviation of 20 pounds. At the 1% level of significance, does the governments’ information support the manufacturer’s claim?
State what is given, what are the hypothesis, what is the test statistic, draw a graph, find the p-value and state the conclusion. As an addition, state at what level of significance you would reject the zero hypothesis.