The Texas Department of Transportation built hundreds of bridges in 2018. To check the average cost to build a bridge, a random sample of n = 10 bridges was chosen. The mean and standard deviation for the sample are $12,100,000 (12.1 M) and $150,000 (0.15 M), respectively. The department claims that the average bridge building cost is $12,000,000 (12M). Normality is assumed for the cost. Use the sample data to test that the department is correct. Use a = 0.05. a. State the appropriate hypotheses. b. Calculate the value of the test statistic. c. Determine the rejection region. d. What is your conclusion? Interpret your conclusion..

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The Texas Department of Transportation built hundreds of bridges in 2018. To check the average cost to build a bridge, a random sample of \( n = 10 \) bridges was chosen. The mean and standard deviation for the sample are $12,100,000 (12.1 M) and $150,000 (0.15 M), respectively. The department claims that the average bridge building cost is $12,000,000 (12M). Normality is assumed for the cost. Use the sample data to test that the department is correct. Use \( \alpha = 0.05 \).

a. State the appropriate hypotheses. [Text Redacted]

b. Calculate the value of the test statistic. [Text Redacted]

c. Determine the rejection region. [Text Redacted]

d. What is your conclusion? Interpret your conclusion. [Text Redacted]
Transcribed Image Text:The Texas Department of Transportation built hundreds of bridges in 2018. To check the average cost to build a bridge, a random sample of \( n = 10 \) bridges was chosen. The mean and standard deviation for the sample are $12,100,000 (12.1 M) and $150,000 (0.15 M), respectively. The department claims that the average bridge building cost is $12,000,000 (12M). Normality is assumed for the cost. Use the sample data to test that the department is correct. Use \( \alpha = 0.05 \). a. State the appropriate hypotheses. [Text Redacted] b. Calculate the value of the test statistic. [Text Redacted] c. Determine the rejection region. [Text Redacted] d. What is your conclusion? Interpret your conclusion. [Text Redacted]
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