Question: solve the following STATISTICS & PROBABILITY Solve the following. (4 items x 25 points) 1. A random sample of 120 automobile owners shows that an

solve the following

STATISTICS & PROBABILITY Solve the following. (4 items x 25 points) 1. A random sample of 120 automobile owners shows that an automobile is driven on an average, 21,500 kilometers per year with a standard deviation of 4,100 kilometers. Construct a 95% confidence interval for the average number of kilometers an automobile is driven annually. 2. A random sample of 20 bottles of Vitamin C contains, on average, 320.05 mg with a standard deviation of 0.5. Find the 90% confidence interval for the true mean content of this brand of Vitamin C. Assume that the content is normally distributed. 3. Two hundred graduating students are selected and it is found that 87 will be awarded the first class honors degrees. Calculate the 96% confidence interval for the proportion of the graduating students who will receive the first class honors degrees. 4. A random sample of 65 bags of potato chips weighed, on average, 5.57 ounces with a standard deviation of 0.28 ounce. Test the hypothesis that / = 5.5 ounces against the alternative hypothesis #

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