Temperature Medium 22 degrees Dry 37 degrees 22 degrees df= P= Data on Breaking Force 100.5, 141.9, 194.8, 118.4, 176.1, 213.1 Dry 303.1, 339.1, 288.8, 306.8, 305.2, 327.5 (a) Estimate the difference between the mean breaking force in a dry medium at 37 degrees and the mean breaking force at the same temperature in a wet medium using a 90% confidence interval. (Round your answers to one decimal place.) ( Wet 386.3, 367.2, 322.6, 307.4, 357.9, 321.4 37 degrees Wet 363.6, 376.8, 327.7, 331.9, 338.1, 394.61 (b) Is there sufficient evidence to conclude that the mean breaking force in a dry medium at the higher temperature is greater than the mean breaking force at the lower temperature by more. than 100 N? Test the relevant hypotheses using a significance level of 0.10. (Use #higher temperature #lower temperature- Round your test statistic to two decimal places. Round your degrees of freedom to the nearest whole number. Round your p-value to three decimal places.) t= x Conclusion Yes, there is sufficient evidence. O No, there is not sufficient evidence.

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Acrylic bone cement is commonly used in total joint replacement to secure the artificial joint. Data on the force (measured in Newtons, N) required to break a cement bond was determined under two
different temperature conditions and in two different mediums appear in the following table.
Temperature Medium
22 degrees
Dry
37 degrees
Dry
22 degrees
Wet 386.3, 367.2, 322.6, 307.4, 357.9, 321.4
37 degrees Wet 363.6, 376.8, 327.7, 331.9, 338.1, 394.6
Data on Breaking Force
100.5, 141.9, 194.8, 118.4, 176.1, 213.1
303.1, 339.1, 288.8, 306.8, 305.2, 327.5
(a) Estimate the difference between the mean breaking force in a dry medium at 37 degrees and the mean breaking force at the same temperature in a wet medium using 90% confidence.
interval. (Round your answers to one decimal place.)
(
(b) Is there sufficient evidence to conclude that the mean breaking force in a dry medium at the higher temperature is greater than the mean breaking force at the lower temperature by more
than 100 W? Test the relevant hypotheses using a significance level of 0.10. (Use Whigher temperature #lower temperature- Round your test statistic to two decimal places. Round your degrees of
freedom to the nearest whole number. Round your p-value to three decimal places.)
t =
x
df=
P=
Conclusion
Yes, there is sufficient evidence.
O No, there is not sufficient evidence.
Transcribed Image Text:Acrylic bone cement is commonly used in total joint replacement to secure the artificial joint. Data on the force (measured in Newtons, N) required to break a cement bond was determined under two different temperature conditions and in two different mediums appear in the following table. Temperature Medium 22 degrees Dry 37 degrees Dry 22 degrees Wet 386.3, 367.2, 322.6, 307.4, 357.9, 321.4 37 degrees Wet 363.6, 376.8, 327.7, 331.9, 338.1, 394.6 Data on Breaking Force 100.5, 141.9, 194.8, 118.4, 176.1, 213.1 303.1, 339.1, 288.8, 306.8, 305.2, 327.5 (a) Estimate the difference between the mean breaking force in a dry medium at 37 degrees and the mean breaking force at the same temperature in a wet medium using 90% confidence. interval. (Round your answers to one decimal place.) ( (b) Is there sufficient evidence to conclude that the mean breaking force in a dry medium at the higher temperature is greater than the mean breaking force at the lower temperature by more than 100 W? Test the relevant hypotheses using a significance level of 0.10. (Use Whigher temperature #lower temperature- Round your test statistic to two decimal places. Round your degrees of freedom to the nearest whole number. Round your p-value to three decimal places.) t = x df= P= Conclusion Yes, there is sufficient evidence. O No, there is not sufficient evidence.
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