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Question1. The amounts (in ounces) of juice in eight randomly selected juice bottles are:15.8, 15.6, 15.1, 15.2, 15.1, 15.5, 15.9, 15.5Construct a 98% confidence interval for the mean amount of juice in all such bottles. Assume an approximate Normal distribution.2. An SRS of 24 students at UH gave an average height of 6.1 feet and a standard deviation of .3 feet. Construct a 90% confidence interval for the mean height of students at UH.3. The gas mileage for a certain model of car is known to have a standard deviation of 4 mi/gallon. A simple random sample of 49 cars of this model is chosen and found to have a mean gas mileage of 27.5 mi/gallon. Construct a 97% confidence interval for the mean gas mileage for this car model.4. Suppose you were told that a 97% confidence interval for the population mean of mpg of a hybrid car was (28, 42). Determine the point estimate for this population mean.MathStatistics and Probability MATH 3339

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