The department of transportation has mandated that the average speed of cars on interstate highways be no more than 70 km per hour in order. To check whether the people 

followed it or not, a researcher took a random sample of 186 cars and found that the average speed was 72 km per hour with a standard deviation 0.6 km per hour.

(i) State null and alternative hypotheses.

(ii) Name the test which is suitable in this situation and why?

(iii) Calculate the value of test statistic and critical value.

(iv)Draw the conclusion on the basis of the applied test.

(i) The null hypothesis (H₀) and alternative hypothesis (H₁) for the given situation are:

• Null hypothesis (H₀): The average speed of cars is 70 km per hour, i.e., μ = 70.

• Alternative hypothesis (H₁): The average speed of cars is greater than 70 km _______ ______ _______ _________ _________ ______ ________ ________ ___ _____.
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