1) The football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were: 11 8 8 10 11 9 9 14 8 5 Find a 95% confidence interval for the population standard deviation Η. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.
2) A supplier of digital memory cards claims that no more than 1% of the cards are defective. In a random sample of 600 memory cards, it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. At the 0.01 level of significance, test the supplier’s claim that no more than 1% are defective. Solve the problem.