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Kevlar epoxy is a material used on the NASA space shuttles. Strands of this epoxy were tested at the 90% breaking strength. The following data represent time to failure (in hours) for a random sample of 50 epoxy strands. Let x be a representing time to failure (in hours) at 90% breaking strength. 0.53 1.80 1.52 2.05 1.03 1.18 0.80 1.33 1.29 1.11 3.34 1.54 0.08 0.12 0.60 0.72 0.92 1.05 1.43 3.04 1.81 2.17 0.63 0.56 0.03 0.09 0.18 0.34 1.51 1.45 1.52 0.19 1.55 0.02 0.07 0.65 0.40 0.24 1.51 1.45 1.60 1.80 4.69 0.08 7.89 1.58 1.62 0.03 0.23 0.72 USE SALT (a) Find the range. (b) Use a calculator to calculate Ex and Ex2

Kevlar epoxy is a material used on the NASA space shuttles. Strands of this epoxy were tested at the 90% breaking strength. The following data represent time to failure (in hours) for a random sample of 50 epoxy strands. Let x be a representing time to failure (in hours) at 90% breaking strength. 0.53 1.80 1.52 2.05 1.03 1.18 0.80 1.33 1.29 1.11 3.34 1.54 0.08 0.12 0.60 0.72 0.92 1.05 1.43 3.04 1.81 2.17 0.63 0.56 0.03 0.09 0.18 0.34 1.51 1.45 1.52 0.19 1.55 0.02 0.07 0.65 0.40 0.24 1.51 1.45 1.60 1.80 4.69 0.08 7.89 1.58 1.62 0.03 0.23 0.72 USE SALT (a) Find the range. (b) Use a calculator to calculate Ex and Ex2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Kevlar epoxy is a material used on the NASA space shuttles. Strands of this epoxy were tested at the 90% breaking strength. The following data represent time to failure (in hours) for a random sample of 50 epoxy strands. Let x be a random variable representing time to failure (in hours) at 90% breaking strength. 0.53 1.80 1.52 2.05 1.03 1.18 0.80 1.33 1.29 1.11 3.34 1.54 0.08 0.12 0.60 0.72 0.92 1.05 1.43 3.04 1.81 2.17 0.63 0.56 0.03 0.09 0.18 0.34 1.51 1.45 1.52 0.19 1.55 0.02 0.07 0.65 0.40 0.24 1.51 1.45 1.60 1.80 4.69 0.08 7.89 1.58 1.62 0.03 0.23 0.72 USE SALT (a) Find the range. (b) Use a calculator to calculate Ex and Ex² Ex= Ex² = (c) Use the results of part (b) to compute the sample mean, variance, and standard deviation for the time to failure. (Round your answers to four decimal places.) x= $²= S= (d) Use the results of part (c) to compute the coefficient of variation. (Round your answer to the nearest whole number.) % What does this number say about time to failure? O The standard deviation of the time to failure is just slightly smaller than the average time. O The coefficient of variation says nothing about time to failure. O The standard deviation of the time to failure is just slightly larger than the average time. O The standard deviation is equal to the average. MY NOTES Why does a small CV indicate more consistent data, whereas a larger CV indicates less consistent data? Explain. O A small CV indicates more consistent data because the value of s in the numerator is smaller. O A small CV indicates more consistent data because the value of s in the numerator is larger. ASK YOUR TEAC
Transcribed Image Text:Kevlar epoxy is a material used on the NASA space shuttles. Strands of this epoxy were tested at the 90% breaking strength. The following data represent time to failure (in hours) for a random sample of 50 epoxy strands. Let x be a random variable representing time to failure (in hours) at 90% breaking strength. 0.53 1.80 1.52 2.05 1.03 1.18 0.80 1.33 1.29 1.11 3.34 1.54 0.08 0.12 0.60 0.72 0.92 1.05 1.43 3.04 1.81 2.17 0.63 0.56 0.03 0.09 0.18 0.34 1.51 1.45 1.52 0.19 1.55 0.02 0.07 0.65 0.40 0.24 1.51 1.45 1.60 1.80 4.69 0.08 7.89 1.58 1.62 0.03 0.23 0.72 USE SALT (a) Find the range. (b) Use a calculator to calculate Ex and Ex² Ex= Ex² = (c) Use the results of part (b) to compute the sample mean, variance, and standard deviation for the time to failure. (Round your answers to four decimal places.) x= $²= S= (d) Use the results of part (c) to compute the coefficient of variation. (Round your answer to the nearest whole number.) % What does this number say about time to failure? O The standard deviation of the time to failure is just slightly smaller than the average time. O The coefficient of variation says nothing about time to failure. O The standard deviation of the time to failure is just slightly larger than the average time. O The standard deviation is equal to the average. MY NOTES Why does a small CV indicate more consistent data, whereas a larger CV indicates less consistent data? Explain. O A small CV indicates more consistent data because the value of s in the numerator is smaller. O A small CV indicates more consistent data because the value of s in the numerator is larger. ASK YOUR TEAC
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