he cars at the time of replacement were (in months): 25 48 47 48 53 46 30 51 42 52 A USE SALT ) Use your calculator to calculate the mean age of a car when the fuel injection system fails x and standard deviation s. (Round your answers to four decimal places.) -44.2 -9.4257 v months V months i) Test the claim that the fuel injection system lasts less than an average of 48 months before needing replacement. Use a 5% level of significance. What are we testing in this problem? O single proportion O single mean (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O Họ: H = 48; Hị: H< 48 O Ho: H = 48; H: H > 48 O Họ: p = 48; H: p< 48 O Họ: H= 48; H: u 48 O Ho: p = 48; H;: p + 48 O Ho: P = 48; H: p > 48 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t, since we assume that x has a normal distribution with unknown o. O The standard normal, since we assume that x has a normal distribution with known o. O The standard normal, since we assume that x has a normal distribution with unknown a. O The Student's t, since we assume that x has a normal distribution with known a. What is the value of the sample test statistic? (Round your answer to three decimal places.) -1.28

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