The following data are the joint temperatures of the O-rings (F) for each test firing or actual launch of the space shuttle rocket motor (from Presidential Commission on the Space Shuttle Challenger Accident, Vol. 1 pp.129-131): 84, 49, 61, 40, 83, 67, 45, 66, 70, 69, 80, 58, 68,60, 67, 72, 73, 70, 57, 63, 70, 78, 52, 67, 53, 67,75,61,70,81,76,79, 75, 76, 58, 31.a)Compute the sample mean and sample stantard deviation and construct a dot diagram of the temperature data.b)Set aside the smallest observation (31 F) and recompute the quantities in part (a). Comment on your findings. How "different" are the other temperatures from this last value? 6-19. + The following data are the joint temperatures of theO-rings (°F) for each test firing or actual launch of the spaceshuttle rocket motor (from Presidential Commission on theSpace Shuttle Challenger Accident, Vol. 1, pp. 129-131): 84, 49,61, 40, 83, 67, 45, 66, 70, 69, 80, 58, 68, 60, 67, 72, 73, 70, 57,63, 70, 78, 52, 67, 53, 67, 75, 61, 70, 81, 76, 79, 75, 76, 58, 31.(a) Compute the sample mean and sample standard deviation andconstruct a dot diagram of the temperature data.(b) Set aside the smallest observation (31°F) and recomputethe quantities in part (a). Comment on your findings. How"different" are the other temperatures from this last value?

a) Mean= 65.86 Sample SD=12.159 b) Now excluding 31 Mean= 66.86 Sample SD = 10.7434 We can…

Answered: The following data are the joint…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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The following data are the joint temperatures of the O-rings (F) for each test firing or actual launch of the space shuttle rocket motor (from Presidential Commission on the Space Shuttle Challenger Accident, Vol. 1 pp.129-131): 84, 49, 61, 40, 83, 67, 45, 66, 70, 69, 80, 58, 68,60, 67, 72, 73, 70, 57, 63, 70, 78, 52, 67, 53, 67,75,61,70,81,76,79, 75, 76, 58, 31.

a)Compute the sample mean and sample stantard deviation and construct a dot diagram of the temperature data.

b)Set aside the smallest observation (31 F) and recompute the quantities in part (a). Comment on your findings. How "different" are the other temperatures from this last value?

6-19. + The following data are the joint temperatures of the
O-rings (°F) for each test firing or actual launch of the space
shuttle rocket motor (from Presidential Commission on the
Space Shuttle Challenger Accident, Vol. 1, pp. 129-131): 84, 49,
61, 40, 83, 67, 45, 66, 70, 69, 80, 58, 68, 60, 67, 72, 73, 70, 57,
63, 70, 78, 52, 67, 53, 67, 75, 61, 70, 81, 76, 79, 75, 76, 58, 31.
(a) Compute the sample mean and sample standard deviation and
construct a dot diagram of the temperature data.
(b) Set aside the smallest observation (31°F) and recompute
the quantities in part (a). Comment on your findings. How
"different" are the other temperatures from this last value?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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