You may need to use the appropriate technology to answer this question. Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). Brand A B C D E F | O Ho: Bo= 0 Ha: Bo #0 ⒸH₁: B₁ = 0 Ha: B₁ * 0 O Ho: B₁ ≥ 0 H₂: B₁ <0 Price ($) Ho: B₁ * 0 H₂: B₁ = 0 180 150 95 70 70 35 Score 74 69 59 56 (a) The estimated regression equation for this data is ý = 23.397993 +0.306020x, where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use α = 0.05. State the null and alternative hypotheses. ọ Ho: Bo # 0 Ha: Bo = 0 42 24 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? O Reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. O Do not reject Ho. We conclude that the relationship between price ($) and overall score is significant. O Do not reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. Reject Ho. We conclude that the relationship between price ($) and overall score is significant.

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…

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