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can you please assist me with this question Listed below are speeds (mi/h) measured from southbound traffic on I-280 near Cupertino, California (based on data

can you please assist me with this question

Listed below are speeds (mi/h) measured from southbound traffic on I-280 near Cupertino, California (based on data from SigAlert). This simple random sample was obtained at 3:30pm on a weekday. The speed limit for this road is 65 mi/h.

62 61 61 57 61 54 59 58 59 69 60 67

(a) Use the sample data to construct a 95% confidence interval for the mean speed. Use Table C.

(b) What does the confidence interval suggest about the mean speed relative to the speed limit? Are these data good evidence that, on average, speed on I-280 is below the speed limit of 65 mi/h?

(c.1) Write down the null and alternative hypotheses and explain what you are testing. Is the alternative hypothesis one-sided or two-sided?

(c.2) Compute the one-sample t-statistic.

(c.3) Estimate the P-value using the t distribution critical values in Table C.

(c.4) What do you conclude from the results in c.1 to c.3? Is there evidence that on average, the speed of cars on I-280 is below the speed limit of 65 mi/h?

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