Chapter 12, Problem 12.80CRP

Weatherwise is a magazine published in association with the American Meteorological Society.  In the January issue there is a rating system to classify Nor’easter storms that frequently hit New England states and can cause much damage near the ocean coasts.  A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore.  Suppose that a Nor’easter is in progress at the severe storm class rating.  Peak wave heights are usually measured from land (using binoculars) off fixed cement piers.  Suppose that a sample of 36 peak waves showed an average wave height of 15.1 feet with a sample standard deviation of 3.2 feet.  Using a level of significance of 1%, does this information indicate that the storm is retreating?  (note; if storm is retreating what is happening to the height of the waves?)

You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here).The company that produces cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number 1 2 3 4 5 6 7 8 9 10 Milliliters 343 345 349 360 349 358 346 357 351 347   Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 344 341 358 346 346 350 347 341 353 352 a) Use the data shown above to construct a 96% confidence interval…

Rivers in North Carolina contain small concentrations of mercury that can accumulate in fish over their lifetimes. The concentration of mercury in fish tissue can be obtained by catching fish and sending samples to a lab for analysis. A study was conducted on fish from the Waccamaw and Lumber Rivers to investigate mercury levels in tissues of largemouth bass. At several stations along each river a group of fish were caught, weighed and measured; in addition a filet from each fish was sent to a lab so that the tissue concentration of mercury could be determined. In all, 171 fish were caught at 15 different research stations along the Waccamaw and Lumber Rivers. Data from fish caught at one of these stations is shown in the following table: length weight 1616 47.0 1862 48.7 2855 55.7 1199 45.2 1320 44.7 1225 43.8  870 38.5 1455 45.8 1220 44.0 1033 40.4 Compute the correlation between length and weight for these fish. (Assume the correlation conditions have been…

Rivers in North Carolina contain small concentrations of mercury that can accumulate in fish over their lifetimes. The concentration of mercury in fish tissue can be obtained by catching fish and sending samples to a lab for analysis. A study was conducted on fish from the Waccamaw and Lumber Rivers to investigate mercury levels in tissues of largemouth bass. At several stations along each river a group of fish were caught, weighed and measured; in addition a filet from each fish was sent to a lab so that the tissue concentration of mercury could be determined. In all, 171 fish were caught at 15 different research stations along the Waccamaw and Lumber Rivers. Data from fish caught at one of these stations is shown in the followinng table: length weight 1616 47.0 48.7 1862 2855 55.7 45.2 1199 1320 44.7 1225 43.8 870 38.5 1455 45.8 1220 44.0 1033 40.4 Compute the correlation between length and weight for these fish. (Assume the correlation conditions have been satisfied and round your…

Rivers in North Carolina contain small concentrations of mercury that can accumulate in fish over their lifetimes. The concentration of mercury in fish tissue can be obtained by catching fish and sending samples to a lab for analysis. A study was conducted on fish from the Waccamaw and Lumber Rivers to investigate mercury levels in tissues of largemouth bass. At several stations along each river a group of fish were caught, weighed and measured; in addition a filet from each fish was sent to a lab so that the tissue concentration of mercury could be determined. In all, 171 fish were caught at 15 different research stations along the Waccamaw and Lumber Rivers. Data from fish caught at one of these stations is shown in the following table: length weight 1616 47.0 1862 48.7 2855 55.7 1199 45.2 1320 44.7 1225 43.8  870 38.5 1455 45.8 1220 44.0 1033 40.4 Compute the correlation between length and weight for these fish. (Assume the correlation conditions have been…

Find the chara oderietin palynourel of the amatrex 3. 2.

One doctor claims that a person's diastolic blood pressure can be lowered if, instead of taking medicine, the person listens to a relaxation tape every night. Ten subjects are selected at random. Your blood pressure, measured in millimeters of mercury, is listed below. All 10 patients are given the tapes and asked to listen to them every night for a month. At the end of the month, their blood pressure is taken again. The data is listed below. Use alpha equals 0.05 to test the doctor's claim.

Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of u- 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm dass rating. Peak wave heights are usually measured from land (using binoculars) off foxed cement piers. Suppose that a reading of 36 waves showed an average wave height of x- 16.9 feet. Previous studies of severe storms indicate that - 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use a - 0.01. (a) What is the level of significance? O State the null and alternate hypotheses. O H: - 16.4 ft; H,: > 16.4 ft O Ho H 16.4 t; H,: - 16.4 m (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard…

A car company conducts crash tests of its new airbag system to evaluate its safety. One hundred cars are run into a solid concrete barrier at a speed of 35 miles per hour, and the chest compression of a crash test dummy is measured each time. They hope that the average compression if the test were repeated over and over (which we could think of as the population) would be about 2 inches, corresponding to an injury that would be painful but not fatal. In the hundred tests, the average chest compression in the crash test dummies was 2.1 inches, with an SD of 0.2 inches.(a) State the null and alternative hypotheses in terms of the problem.(b) What kind of box model will we use for this problem? A 0-1 box, or a box with other values on the tickets?(c) State the null and alternative hypotheses in terms of the box model (d) Compute the z test statistic and the p-value, using the sample average as your statistic as you compute z (e) What do you conclude?