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6.01* A tire company claims that its tires can withstand 85 pounds of pres- sure per square inch. From past data, it is assumed that the pressure capac- ity of tires is normally distributed with variance 12 pounds?. Five randomly chosen tires are slowly inflated until they burst. Their bursting pressures in pounds are 89.2, 87.0, 79.1, 84.5 and 86.7. (a) Give the statistical model for the experiment. (b) State the relevant hypotheses. (c) Calculate the p-value. (d) Provide a concluding sentence. (e) If the variance were unknown, how would the p-value change?

6.01* A tire company claims that its tires can withstand 85 pounds of pres- sure per square inch. From past data, it is assumed that the pressure capac- ity of tires is normally distributed with variance 12 pounds?. Five randomly chosen tires are slowly inflated until they burst. Their bursting pressures in pounds are 89.2, 87.0, 79.1, 84.5 and 86.7. (a) Give the statistical model for the experiment. (b) State the relevant hypotheses. (c) Calculate the p-value. (d) Provide a concluding sentence. (e) If the variance were unknown, how would the p-value change?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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6.01* A tire company claims that its tires can withstand 85 pounds of pres- sure per square inch. From past data, it is assumed that the pressure capac- ity of tires is normally distributed with variance 12 pounds?. Five randomly chosen tires are slowly inflated until they burst. Their bursting pressures in pounds are 89.2, 87.0, 79.1, 84.5 and 86.7. (a) Give the statistical model for the experiment. (b) State the relevant hypotheses. (c) Calculate the p-value. (d) Provide a concluding sentence. (e) If the variance were unknown, how would the p-value change?
Transcribed Image Text:6.01* A tire company claims that its tires can withstand 85 pounds of pres- sure per square inch. From past data, it is assumed that the pressure capac- ity of tires is normally distributed with variance 12 pounds?. Five randomly chosen tires are slowly inflated until they burst. Their bursting pressures in pounds are 89.2, 87.0, 79.1, 84.5 and 86.7. (a) Give the statistical model for the experiment. (b) State the relevant hypotheses. (c) Calculate the p-value. (d) Provide a concluding sentence. (e) If the variance were unknown, how would the p-value change?
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