A car company claims to only have a carbon dioxide emissions of .7. You think it’s...

A car company claims to only have a carbon dioxide emissions of .7. You think it’s higher. You collect 100 cars and test the carbon dioxide. You find an average of .75 with a sample standard deviation of .1. Perform a test of hypothesis with an alpha of 10%.

Expert Solution

Ho :   µ =   0.7
Ha :   µ >   0.7       (Right tail test)

Level of Significance ,    α =    0.10
sample std dev ,    s =    0.1000
Sample Size ,   n =    100
Sample Mean,    x̅ =   0.7500

degree of freedom=   DF=n-1=   99

Standard Error , SE = s/√n =   0.1000   / √    100   =   0.0100
t-test statistic= (x̅ - µ )/SE = (   0.750   -   0.7   ) /    0.010   =   5.000


p-Value   =   0.0000   [Excel formula =t.dist(t-stat,df) ]
Decision:   p-value<α, Reject null hypothesis
Conclusion: There is enough evidence to reject the company's claim at α=0.10.

milcah answered 10 months ago

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