Question

homeowners claim that the mean speed of automobiles traveling on their street is greater than the...

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?

Homework Answers

Answer #1

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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