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Stats HW 8: Variance, SD Calculation & Conversion to Fahrenheit - Prof. James Marron, Assignments of Statistics

University of North Carolina (UNC) - Chapel HillStatistics
Prof. James Marron

A statistics homework assignment from or 155, section 2, with problem numbers c16 and c17. The assignment includes calculating the variance and standard deviation of a given distribution, and converting temperatures from celsius to fahrenheit for a new random variable y. The mean and standard deviation of x are provided, and students are asked to find the mean and standard deviation of y.

Typology: Assignments

Pre 2010

Uploaded on 03/11/2009

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Statistics – OR 155, Section 2, Homework # 8
Due: Thursday, March 8, 2007
C16: Find the variance and standard deviation of the distribution in 4.59. (0.752, 0.867)
C17: Suppose that the random variable X models winter daily maximum temperatures, and that
X has mean 5o C and standard deviation 10 o C. Let Y be the temp. in degrees Fahrenheit.
(a) What is the mean of Y? (41oF)
(b) What is the standard deviation of Y? (18oF)
Hint: Recall the conversion: C=(5/9)(F-32)
5.1, 5.2 (a. no, n?, b. yes, c. yes)
5.3, 5.4 (0.194)
Rework, using the Binomial Distribution: 4.52c,d
5.5
5.13, 5.19

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Statistics – OR 155, Section 2, Homework # 8 Due: Thursday, March 8, 2007 C16: Find the variance and standard deviation of the distribution in 4.59. (0.752, 0.867) C17: Suppose that the random variable X models winter daily maximum temperatures, and that X has mean 5o^ C and standard deviation 10 o^ C. Let Y be the temp. in degrees Fahrenheit. (a) What is the mean of Y? (41oF) (b) What is the standard deviation of Y? (18oF) Hint: Recall the conversion: C=(5/9)(F-32) 5.1, 5.2 (a. no, n?, b. yes, c. yes) 5.3, 5.4 (0.194) Rework, using the Binomial Distribution: 4.52c,d

5.13, 5.