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- A researcher studies water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected data is given in the table below. Complete parts (a) through (c) below Observation 1 2 3 4 5 6 1/25 3/19 5/30 7/3 9/13 11/7 41.6 72.7 72.4 65.9 64.2 68.6 49.3 72.1 76.6 69.4 69.8 70.5 Date Initial Depth, X, Depth Five Years Later, Y, a) Why is it important to take the measurements on the same date? CA. Using the same dates makes it easier to remember to take samples. B. Using the same dates maximizes the difference in water clarity. OC. Those are the same dates that all biologists use to take water clarity samples. D. Using the same dates makes the second sample dependent on the first and reduces variability in water clarity attributable to date. b) Does the evidence…2. E Xpress in degree measureWeatherwise 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 class rating. Peak wave heights are usually measured from land (using binoculars) off fixed 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 o = 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? State the null and alternate hypotheses. O Ho: H = 16.4 ft; H,: µ > 16.4 ft O Ho: H 16.4 ft; H,: µ = 16.4 ft (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.…
- The Centers for Disease Control lists causes of death in the United States during 2012. (Each person is assigned only one cause of death.) Cause of Death Heart disease Percent Cancer 23.6 Circulatory diseases and stroke 22.9 5.1 Respiratory diseases Accidents 5.6 5.0 a) Is it reasonable to conclude that heart or respiratory diseases were the cause of approximately 29% of U.S. deaths in 2012? O A. No, because there is no possibility for overlap. O B. Yes, because there is no possibility for overlap. OC. No, because there is the possibility of overlap. O D. Yes, because there is the possibility of overlap. b) What percent of deaths were from causes not listed here? % (Round to one decimal place as needed.) Next 2:49 PM P Type here to search 74°F 21 4/27/2022 141 174 & 7. 96 3 4. R T Y U tab H. D PAP lock M.Suppose \triangle ABC\sim\triangle WXY△ABC∼△WXY by a scale factor of 7/5. If AB = 2, BC = 3, and AC = 6 what is the measurement of XY? Leave answer in decimal form.1. Does the dotplot have a 'bell-shaped" pattern? Explain. Dotplot of Calcium Calcium