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- A car knocked over a stop again, but then sped off. The only information that an eyewitness remembers is that the car’s license plates contains two W’s and one D, but not necessarily in this order. How many license plates must check?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 ? = 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 38 waves showed an average wave height of x = 16.7 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 ? = 0.01. a) What is the value of the sample test statistic? (Round your answer to two decimal places.)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 ? = 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 40 waves showed an average wave height of x = 17.5 feet. Previous studies of severe storms indicate that ? = 4.0 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01. Solve the problem using the critical region method of testing (i.e., traditional method). (Round your answers to two decimal places.) test statistic = critical value = State your conclusion in the context of the application. Reject the null…
- The valence of a song is measured from 0 to 10 and detects the musical positiveness conveyed in the song. Tracks with high valence sound more positive (e.g. happy, ch with low valence sound more negative (e.g. sad, depressed, angry). The valence was computed for 42,000 songs on Spotify in the genres of Techno, Techhouse, Trance, Trap, Psytrance, DnB, Hardstyle, Underground Rap, Trap Metal, Emo The table below shows the number of songs with a given valence measurement. Valence 1.5 2.5 4.4 5.3 6.3 6.7 7.7 8.7 9.7 Number of songs 3557 3175 2388 2078 1579 1438 1023 651 245 Source: Kaggle (a) Based on a scatter plot of the data in the table, why is a linear model appropriate? The scatter plot suggests a steady,---Select--- with a ---Select--- slope. (b) Find the linear model that gives the number of songs with a given valence, where v is the valence, for 0 ≤ v ≤ 10. (Round all values to two decimal places. L(v) = ---Select--- C (c) The constant rate of change for the model is (d) Use the…1. On a final examination in Mathematics, the mean was 76 and the standard deviation was 5. Determine the standard score of a student who received a score of 88 assuming the scores are normally distributed.Suppose that the local newspaper reported that Millerville and Big Lake both had 50 murders last year. However, 5 years ago, Millersville had 42 murders and Big Lake had just 29. Calculate the absolute change and the perchance for each city over the five years. Could the newspaper make the claim that crime had gone up by the same amount in each city? Explain
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- For n = 15 year-2017 model sedans whose horsepower is between 290 and 390, the following measurements give the time in seconds for the car to go from 0 to 60 mph: 4.8, 6.8, 6.0, 5.0, 6.3, 5.7, 5.8, 6.1, 5.5, 6.2, 4.9, 5.4, 5.1, 5.9, 5.6. The interval (Y1, Y7) could serve as a confidence interval for 1o.25. What is its confidence coefficient?A student has a semester GPA of 2.5 based on 15 credit hours. This included an F in a 4 credit hour class. If the student had withdrawn in time, what would be the revised GPA? Round to 2 decimal places. The revised GPA isWeatherwise 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 ? = 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 ? = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01. (a) What is the level of significance?State the null and alternate hypotheses. H0: ? = 16.4 ft; H1: ? < 16.4 ftH0: ? > 16.4 ft; H1: ? = 16.4 ft H0: ? < 16.4 ft; H1: ? = 16.4 ftH0: ? = 16.4 ft; H1: ? > 16.4 ftH0: ? = 16.4 ft; H1: ? ≠ 16.4 ft…