9. The alkaline batteries of a toy car is designed to last 30 hours, on average, with a 10. UUM Fitness Center claims that it took an average of 5 months for a club member that known population standard deviation of 2.95 hours. However, many of customers followed their program coaching to achieve an ideal weight with a standard deviation complained that the batteries were lasting less than 30 hours. You decide to randomly of 3 months. However, a survey made by the Student Club found that it took less than sample 38 of the manufacturer's batteries, which mean life was 29.3 hours. Is there 5 months to get an ideal weight. A sample of 40 club members showed that on sufficient evidence at the 5% level of significance to support the claim that the mean battery life is less than 30 hours? average, it will take 4 months for them to achieve an ideal weight based on the (6 marks) procedure given during the coaching program. a) Identify the hypothesis null and alternative (Ho and Ha). (1 mark) b) Compute test statistic (Z). (1 mark) c) Get the P-value for the test that the mean coaching program for the club members is less than 5 months. (1 mark) d) What will be your conclusion if a =0 .01? (1 mark) 8