With reference to Exercise 11.65, test the null hypothesis \(\beta=1.5\) against the alternative hypothesis \(\beta>1.5\) at the 0.01 level of significance.

Data From Exercise 11.65

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11.65 The data below pertains to the number of hours a lap- top has been charged for and the number of hours of backup provided by the battery. (a) Use the first set of expressions on page 330, in- volving deviations from the mean, to fit a least squares line to the observations. (b) Use the equation of the least squares line to esti- mate the mean battery backup time at x = 3. Charged for Battery backup (hours) (hours) 0.5 0.75 1.0 1.75 1.5 2.5 2.0 4.5 2.5 6.0