Annual high temperatures in a certain location have been tracked for a sample of 16 years. Let and the high temperature (in ). represent the year y 5 18.35 6 17.58 7 21.11 8 20.34 9 19.77 10 24.2 11 24.23 12 25.36 13 26.89 14 26.92 15 25.65 16 26.48 17 30.51 18 29.24 19 32.67 20 33.1 Calculate the correlation coefficient. (Round to three decimal places.) r = 0.964 Let's test the significance of the correlation coefficient at α = 0.01 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. ↓ = b. Calculate the p-value. Round to four decimal places. p-value = 0.0000 c. Make a decision. Ꮕ Reject the null hypothesis. Do not reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? No Yes

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