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Given: sample size n = 14 b1 = 0.3688 Sb1 = 0.0191  Solution:  a) The hypothesis test: Ho: β1 = 0 Ha: β1 ≠ 0 The option F is correct answer. Test statistic t:  t = b1 - β1 / sb1  t = 0.3688-0/0.0191 Test statistic t = 19.31 Critical value:  df = n-2 = 14 - 2 = 12 t critical = t(α/2,df) = t(0.025,12) t critical = 2.1788 Rejection rule: Reject Ho, if t > t critical (2.18) Or if t < - t critical (2.18) Otherwise do not reject. Since test statistic t (19.31) is not in the rejection region. Reject Ho. There is sufficient evidence to support the claim that there is no  linear relationship between temperature and ice cream sales. b) The 95% confidence interval: CI = b1 ± t critical * sb1 CI = 0.3688 ± 2.1788* 0.0191 CI = 0.3688 ± 0.0416 CI = (0.3272, 0.4104) The 95% confidence interval is 0.327 < β1 < 0.410     ...