Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Test the claim that the mean lifetime of car engines of a particular type is greater than 220,000 miles. Sample data are summarized as n = 23, ?̅ = 226,450 miles, and s = 11,500 miles. Use a significance level of ? = 0.01.
n = 23
This is the right tailed test .
The null and alternative hypothesis is ,
H0 : = 220000
Ha : > 220000
Test statistic = t
= ( - ) / S / n
= (226,450-220000 ) / 11500 / 23
Test statistic = t = 2.69
0.0067 < 0.01
Reject the null hypothesis .
There is sufficient evidence to suggest that
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