Part 2: 1. You measure 27 turtles\' weights, and find they have a mean weight of

Question

Part 2: 1. You measure 27 turtles' weights, and find they have a mean weight of 34 ounces. Assume the population standard deviation is 3.8 ounces. Based on this, construct a 99% confidence interval for the true population mean turtle weight. Give your answers as decimals, to two places 2. Assume that a sample is used to estimate a population mean . Find the margin of error M.E. that corresponds to a sample of size 10 with a mean of 79.4 and a standard deviation of 10.7 at a confidence level of 80%. Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E.=____ Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places. 3. The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 32.6 for a sample of size 460 and standard deviation 8.8. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 98% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place). ______<<_____ Answer should be obtained without any preliminary rounding. 4. You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures: 88.5 85.6 109.5 69.5 80.4 93.8 92.6 Find the 90% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place). 90% C.I. = __________ Answer should be obtained without any preliminary rounding. 5.SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SAT score of first year students at your college. If you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample? Make sure to give a whole number answer.

Explanation / Answer

Confidence Interval:

X bar (-/+) E

X bar = 34

E = zc * (sigma/sqrt(n))

sigma = 3.8

n = 27

For 99% confidence interval the critical z as 2.58

E = 2.58 * (3.8/sqrt(27))

= 1.8868

X bar (-/+) E

34 (-/+) 1.8868

32.11 and 35.89

Answer:

32.11 and 35.89

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