The battery pack of a hand calculator is supposed to perform 20,000 calculations before needing recharging. The quality control manager for the manufacturer is concerned that the pack may not be working for as long as the specications state. A test of 121 battery packs gives an average of 19,683 calculations and a standard deviation of 1,103. Q5. State the null and alternative hypotheses. a) H0: u = 20000, Ha: u > 20000 b) H0: u = 20000, Ha: u 20000, Ha: u = 20000 d) H0: u = 20000, Ha: u ;E 20000 Q6. Calculate the test statistic a) 1.64 b) 3.16 c)~3.16 d) ~2.33 Q7. Calculate the pvalue. a) 0.001 b) 0.002 c) 0.05 d) 0.10 Q8. What is your conclusion assuming a signicance level of 0.01? a) Reject H0 b) Fail to Reject H0 c) Reject Ha d) Fail to Reject Ha