A manufacturer of sports equipment claims that the new fishing line has a mean breaking strength of at least 8 kilograms. Test this claim if a sample of 28 lines found that the mean breaking strength is 7.8 Kg with sample standard deviation 0.5 Kg. The distribution is approximately normal.
State the null hypothesis Ho and the alternative hypothesis Ha. Give the test statistic, the p-value and the conclusion. Justify your answers completely. Is the result significant at the 5% level?