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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 μ = 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 32 waves showed an average wave height of x = 16.9 feet. Previous studies of severe storms indicate that σ = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use α = 0.01.
1. What is the value of the sample test statistic? (Round your answer to two decimal places.)

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- The following data represent the muzzle velocity (in feet per second) of rounds fired from a 155-mm gun. For each round, two measurements of the velocity were recorded using two different measuring devices, resulting in the following data. Complete parts (a) through (d) below. Observation 1 2 3 4 5 6 793.3 792.8 794.8 790.1 793.1 792.3 791.5 802.6 788.3 802.5 791.2 797.6 Click the icon to view the table of critical t-values. A B a) Why are these matched-pairs data? A. The same round was fired in every trial. B. Two measurements (A and B) are taken on the same round. C. All the measurements came from rounds fired from the same gun. D. The measurements (A and B) are taken by the same instrument.arrow_forwardPlease answer rest of a) and b). WILL thumbs up if correct.arrow_forwardPlease answer all these questions and label, data included: Size($) Rent(sq.feet) 850 1950 1450 2600 1085 2200 1232 2500 718 1950 1485 2700 1136 2650 726 1935 700 1875 956 2150 1100 2400 1285 2650 1985 3300 1369 2800 1175 2400 1225 2450 1245 2100 1259 2700 1150 2200 896 2150 1361 2600 1040 2650 755 2200 1000 1800 1200 2750 10. Based on all of the above questions, what will you conclude about the relationship between house size and rent price? 11. Construct a 95% confidence interval estimate of the population slope, β1. 12. Construct a 95% confidence estimate of the mean renting cost of a house that is 2000 square feet. 13. Construct a 95% prediction interval of the renting cost of an individual house that is 2000 square feet.arrow_forward
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- The Hill of Tara is located in south-central Meath, not far from Dublin, Ireland. Tara is of great cultural and archaeological importance, since it is by legend the seat of the ancient high kings of Ireland. For more information, see Tara: An Archaeological Survey, by Conor Newman, Royal Irish Academy, Dublin. Magnetic surveying is one technique used by archaeologists to determine anomalies arising from variations in magnetic susceptibility. Unusual changes in magnetic susceptibility might (or might not) indicate an important archaeological discovery. Let x be a random variable that represents a magnetic susceptibility (MS) reading for a randomly chosen site on the Hill of Tara. A random sample of 120 sites gave the readings shown in the table below. Magnetic Susceptibility Readings, centimeter-gram-second x 10-6 Magnetic Susceptibility 0 < x < 10 10 < x < 20 20 < x < 30 (cmg x 10-6) Number of Estimated Comment Readings 30 Probability 0.25 "cool" 30/120 54/120 = 0.45 18/120 = 0.15 =…arrow_forwardA geographer studying West Africa would like to know the size of stones in the delta region where the Niger River runs into the Gulf of Guinea. He collects 53 stones and measures the diameter of each, and so obtains the following measurements, in centimeters as seen below in the frequency table. Size (cm) Frequency [0, 2) [2, 4) 17 13 [4, 6) [6, 8) [8, 10) [10, 12) 10 7 4 a. Create a histogram for the measured stones. Include all labels. b. How many stones are larger than or equal to 6 cm?arrow_forwardWeatherwise 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.…arrow_forward
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