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Annual high temperatures in a certain location have been tracked for a sample of 11 years. Let and the high temperature (in ). represent the year X y 5 8.9 6 8.03 7 7.86 8 5.69 10 11 12 13 90123 6.32 4.25 5.18 3.41 3.24 14 4.77 15 3 Calculate the correlation coefficient. (Round to three decimal places.) r = Let's test the significance of the correlation coefficient at α = = 0.05 significance level. Ho There is not a significant relationship between the year and high temperature, i.e., p = 0. Ha There is a significant relationship between the year and high temperature, i.e., p = 0. a. Calculate the test statistic. Round to three decimal places. t = b. Calculate the p-value. Round to four decimal places. p-value c. Make a decision. O Do not reject the null hypothesis. Reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? Yes No

Annual high temperatures in a certain location have been tracked for a sample of 11 years. Let and the high temperature (in ). represent the year X y 5 8.9 6 8.03 7 7.86 8 5.69 10 11 12 13 90123 6.32 4.25 5.18 3.41 3.24 14 4.77 15 3 Calculate the correlation coefficient. (Round to three decimal places.) r = Let's test the significance of the correlation coefficient at α = = 0.05 significance level. Ho There is not a significant relationship between the year and high temperature, i.e., p = 0. Ha There is a significant relationship between the year and high temperature, i.e., p = 0. a. Calculate the test statistic. Round to three decimal places. t = b. Calculate the p-value. Round to four decimal places. p-value c. Make a decision. O Do not reject the null hypothesis. Reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? Yes No

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 88CR
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Annual high temperatures in a certain location have been tracked for a sample of 11 years. Let and the high temperature (in ). represent the year X y 5 8.9 6 8.03 7 7.86 8 5.69 10 11 12 13 90123 6.32 4.25 5.18 3.41 3.24 14 4.77 15 3 Calculate the correlation coefficient. (Round to three decimal places.) r = Let's test the significance of the correlation coefficient at α = = 0.05 significance level. Ho There is not a significant relationship between the year and high temperature, i.e., p = 0. Ha There is a significant relationship between the year and high temperature, i.e., p = 0. a. Calculate the test statistic. Round to three decimal places. t = b. Calculate the p-value. Round to four decimal places. p-value c. Make a decision. O Do not reject the null hypothesis. Reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? Yes No
Transcribed Image Text:Annual high temperatures in a certain location have been tracked for a sample of 11 years. Let and the high temperature (in ). represent the year X y 5 8.9 6 8.03 7 7.86 8 5.69 10 11 12 13 90123 6.32 4.25 5.18 3.41 3.24 14 4.77 15 3 Calculate the correlation coefficient. (Round to three decimal places.) r = Let's test the significance of the correlation coefficient at α = = 0.05 significance level. Ho There is not a significant relationship between the year and high temperature, i.e., p = 0. Ha There is a significant relationship between the year and high temperature, i.e., p = 0. a. Calculate the test statistic. Round to three decimal places. t = b. Calculate the p-value. Round to four decimal places. p-value c. Make a decision. O Do not reject the null hypothesis. Reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? Yes No
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