Q4.a

Taxpayer Bill of Rig... Screenshot of the F... Q E X Partner Entry | Roge... Army NG G1 Portal Upd Sketch the sampling distribution and show the area corresponding to the P-value. O -4 -2 0 2 O -2 0 2 99+ 3:39Entry | Roge... Army NG G1 Portal 4. [-/1 Points] DETAILS BBBASICSTAT8 9.R.014.S. MY NOTES ASK YOUR TEACHER The manufacturer of a sports car claims that the fuel injection system lasts 48 months before it needs to be replaced. A consumer group tests this claim by surveying a random sample of 10 owners who had the fuel injection system replaced. The ages of the cars at the time of replacement were (in months): 27 42 41 48 53 46 30 51 42 52 LO USE SALT (i) 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.) X = months S months (ii) 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 mean O single proportion (a) What is the level of significance?TRIg... Screenshot of the F... Partner Entry | Roge... Army NG G1 Portal (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and o is known. The Student's t, since the sample size is large and o is unknown. O The standard normal, since the sample size is large and o is unknown. O The standard normal, since the sample size is large and o is known. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Estimate the P-value. O P-value > 0.250 O 0.100 48 OH : M = 48; H, : H# 48 OH: 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. The standard normal, since we assume that x has a normal distribution with known o. O The Student's t, 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 o. What is the value of the sample test statistic? (Round your answer to three decimal places.)arther Entry | Roge... Army NG G1 Portal 5. [-/8 Points] DETAILS BBBASICSTAT8 9.2.011.DEFECTIVE MY NOTES ASK YOUR TEACHER Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of u = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 39 waves showed an average wave height of x = 16.9 feet. Previous studies of severe storms indicate that o = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: M = 16.4 ft; H : u 16.4 ft O Ho: M = 16.4 ft; H, : u # 16.4 ft O Ho: H > 16.4 ft; H, : M = 16.4 ft O Ho: M 0.250 O 0.100