The lowa department of transportation repaired hundreds of bridges in 1993. To check the average cost to repair a bridge, a random sample of n=55 bridges was chosen. The mean and standard deviation for the sample are $25788 and $1540, respectively. Records from previous years indicate an average bridge repair cost was $25003. Use the sample data to test that the mean \mu is greater than $25003 at the level of significance alpha 0.05. %3D Let T {obs} denote the observed value of the appropriate test statistics for this problem. O Since T_(obs} =0.51 < 1.96 we can reject the null hypothesis at level 0.05. O Since T_(obs) =3.78 > 1.645 we can reject the null hypothesis at level 0.05. O Since T_lobs) =0.51 < 1.96 we cannot reject the null hypothesis at level 0.05. O Since T_(obs) =3.78 > 1.645 we cannot reject the null hypothesis at level 0.05.

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The lowa department of transportation repaired hundreds of bridges in 1993. To check the average
cost to repair a bridge, a random sample of n3D55 bridges was chosen. The mean and standard
deviation for the sample are $25788 and $1540, respectively. Records from previous years indicate
an average bridge repair cost was $25003. Use the sample data to test that the mean \mu is greater
than $25003 at the level of significance alpha = 0.05.
Let T_{obs} denote the observed value of the appropriate test statistics for this problem.
O Since T_{obs) =0.51 < 1.96 we can reject the null hypothesis at level 0.05.
O Since T_{obs} =3.78 > 1.645 we can reject the null hypothesis at level 0.05.
O Since T_(obs) =0.51 < 1.96 we cannot reject the null hypothesis at level 0.05.
O Since T_fobs} =3.78 > 1.645 we cannot reject the null hypothesis at level 0.05.
Transcribed Image Text:The lowa department of transportation repaired hundreds of bridges in 1993. To check the average cost to repair a bridge, a random sample of n3D55 bridges was chosen. The mean and standard deviation for the sample are $25788 and $1540, respectively. Records from previous years indicate an average bridge repair cost was $25003. Use the sample data to test that the mean \mu is greater than $25003 at the level of significance alpha = 0.05. Let T_{obs} denote the observed value of the appropriate test statistics for this problem. O Since T_{obs) =0.51 < 1.96 we can reject the null hypothesis at level 0.05. O Since T_{obs} =3.78 > 1.645 we can reject the null hypothesis at level 0.05. O Since T_(obs) =0.51 < 1.96 we cannot reject the null hypothesis at level 0.05. O Since T_fobs} =3.78 > 1.645 we cannot reject the null hypothesis at level 0.05.
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