homeowners claim that the mean speed of automobiles traveling on their street is greater than the speed limit of 35 miles per hour. A random sample of 120 automobiles has a mean speed of 37 miles per hour and a standard deviation of 4 miles per hour. Using a significance level of .10
what is the test statistic?
What are the critical values?
what is the p value
what is the decision for this hypothesis test and why?
Null Hypothesis
Alternative Hypothesis
Under H0, the test statistic is
Degrees of freedom df = n-1= 120-1=119
Significance level
The critical value of t for 119 df at 10% Significance level ( for right tailed test ) is 1.289
The P-Value is < 0.00001
Decision : Since p value is less than significance level. Reject H0
Hence we have enough evidence to support the homeowners claim that the mean speed of automobiles traveling on their street is greater than the speed limit of 35 miles per hour.
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