11 10 Points Details My Notes Ask Your Teacher The Manufacturer Of A Sports Car Claims That The Fuel Injection Syst 1 (29.16 KiB) Viewed 18 times
11 10 Points Details My Notes Ask Your Teacher The Manufacturer Of A Sports Car Claims That The Fuel Injection Syst 2 (31.35 KiB) Viewed 18 times
11. [-/10 Points) DETAILS MY NOTES ASK YOUR TEACHER The manufacturer of a sports car claims that the fuel injection system lasts ATLEAST 48 months before it needs to be replacet. A consumer yupo NOT claim The consumer group tests this claim by surveying a random sample of 15 sports car owners who had the fuel injection system replaced. These soort aan het of replacement were (in months) as follows: Assume that that the age of sports cars at the time of replacement is normally distributed 29 42 49 48 53 46 30 51 42 52 38 47 50 34 52 ... Find the sample mean and standard deviation of the above sample data. (KEEP 2 DECIMALS) SAMPLE MEAN- SAMPLE STANDARD DEVIATION = b. Construct a 99% confidence interval for the population mean number of months a fuel injection system lasts before it needs replacement. (KEEN Z DECIMALS) Lower Limit of the Confidence interval Upper Limit of the Confidence interval cState the null and alternate hypotheses that would be used to test the manufacturer's claim that the fuel injection system lasts AT LEAST 48 months before needs to be replaced HO: 48 and Ha: > 48 HO: < 48 and Haru2 48 HO: 48 and Ha: = 48 HO: 48 and Ha: < 48 HO: US 48 and Ha: > 48
由十足 HO:48 and Hap<411 HOI48 and Hot > 48 d. Continuing part (c), find the p-value of the appropriate test and decide whether or not to reject the nuit sypothesis at the 1 significance level P.Value(KEEP 3 DECIMALS) Conclusion At 1% level of Significance: Reject the null hypothesis because the p-value is less than a. Conclude that the fuel injection system lasts less than 48 months before it needs to be replaced Do not Reject the null hypothesis because the p-value is less than a. Conclude that the fuel injection system lasts ATLEAST 48 months before it needs to be replaced. Reject the null hypothesis because the p-value is greater than a conclude that the fuel injection system lasts less than 48 months before it needs to be replaced. Do not reject the null hypothesis because the p-value is larger than a conclude that the fuel injection system lasts ATLEAST 48 months before it needs to be replaced e. Does the manufacturers claim appear to be plausible? That is, did you find sufficient sample evidence to support the manutacturers claim? YES. We have evidence to support the manufacturer's claim since we did not reject the null hypothesis NO. We do not have evidence to support the manufacturer's claim since we rejected the null hypothesis. 1. What type of error is possible with your final decision about the null hypothesis in part (d). TYPE II ERROR TYPE I ERROR
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