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Confidence interval for the mean length of life µ

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New automobile tires, manufactured by a company in Mandeville, are designed to provide a mean of at least 50,000 miles. Leonard DiCaprio, who is Production Manager, tested a random sample of tires and obtained the following descriptive statistics:

? Sample sizen = 36 tires? Sample meanx¯ = 50,900 miles? Sample standard deviation s = 3,000 miles

(1) Construct a 95% confidence interval for the mean length of life μ of all automobile tires.

2.(i) Alternatives

3.(ii) Test statistic

4.(iii) p-value

5.(iv) What is the conclusion if the level of significance is α=0.05?

Reference no: EM132384911

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