A large car company states that the brake system will function properly for 5.1 years with a population standard deviation of 0.9 years before needing maintenance. An independent research facility is concerned that the brake systems may not last as long as the company claims. They took a random sample of 40 cars made by the manufacturer and found the average to be 4.1 years. (a) State the appropriate null and alternative hypotheses. H0: = 5.1 Ha: < 5.1 (b) Calculate the test statistic. (Round your answer to two decimal places.) z = -6.42 (c) Based on = 0.01, what is the correct conclusion for the hypothesis test? (Use a table or technology.) We would fail to reject the null hypothesis. This means that on the basis of the evidence, you cannot conclude that the brake system will function properly for less than 5.1 years. We would fail to reject the null hypothesis. This means that on the basis of the evidence, you can conclude that the brake system will function properly for less than 5.1 years. We would reject the null hypothesis. This means that on the basis of the evidence, you cannot conclude that the brake system will