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Fuel Tank Capacity. Consumer Reports provides informa- tion on new automobile models-including price, mileage rat- ings, engine size, body size, and indicators of features. A simple random sample of 35 new models yielded the following data on fuel tank capacity, in gallons.
17.2 23.1 17.5 15.7 19.8 16.9 15.3 18.5 18.5 25.5 18.0 17.5 14.5 20.0 17.0 20.0 24.0 26.0 18.1 21.0 19.3 20.0 20.0 12.5 13.2 15.9 14.5 22.2 21.1 14.4 25.0 26.4 16.9 16.4 23.0
a. Find a point estimate for the mean fuel tank capacity of all new automobile models. Interpret your answer in words. (Note: x i = 664.9 gallons.)
b. Determine a 95.44% confidence interval for the mean fuel tank capacity of all new automobile models. Assume σ = 3.50 gallons.
c. How would you decide whether fuel tank capacities for new automobile models are approximately normally distributed?
d. Must fuel tank capacities for new automobile models be ex- actly normally distributed for the confidence interval that you obtained in part (b) to be approximately correct? Explain your answer. 8.8 Home Improvements. The American Express Retail Index.
A jar contains a number of marbles of which 58 are pink, 78 are green, and the rest are blue. If the probability of choosing a blue marble from this jar at random is 1/5, how many blue marbles are in the jar.
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Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using What is the value of the test statistic?
What is the angle of elevation of the ladder?
What are the dimensions of the largest volume package the postal service will accept?
For the two acute angles, m1=6x -3° and m2 =x + 2°. Solve for x and the measure of each angle. State the ideas from the tool kit that justify the procedure you use.
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