Question: Consider the data in Problem 2.12 and assume that steam usage and average temperature are jointly normally distributed. Data From Problem 2.12 The number of
Consider the data in Problem 2.12 and assume that steam usage and average temperature are jointly normally distributed.
Data From Problem 2.12
The number of pounds of steam used per month at a plant is thought to be related to the average monthly ambient temperature. The past year's usages and temperatures follow.

a. Find the correlation between steam usage and monthly average ambient temperature.
b. Test the hypothesis that $ho=0$.
c. Test the hypothesis that $ho=0.5$.
d. Find a $99 %$ CI for $ho$.
Month Temperature Usage/1000 Month Temperature Usage/1000 Jan. 21 185.79 Jul. 68 621.55 Feb. 24 214.47 Aug. 74 675.06 Mar. 32 288.03 Sep. 62 562.03 Apr. 47 424.84 Oct. 50 452.93 May 50 454.68 Nov. 41 369.95 Jun. 59 539.03 Dec. 30 273.98
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