Ask Question
14 February, 05:47

A city is concerned that cars are not obeying school zones by speeding through them, putting children at greater

risk of injury. The speed limit in school zones is 15 miles per hour. Throughout the course of one day, a police officer

hides his car on a side street that intersects the middle of the school zone and records the speed of each car that

passes through. The 36 cars that he recorded had an average speed of 16.33 mph with a sample standard deviation

of 2.54 mph.

Calculate the appropriate test statistic (Give as a decimal rounded to the nearest thousandth).

+4
Answers (1)
  1. 14 February, 06:20
    0
    Answer: test statistic = 0.002

    Step-by-step explanation:

    We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

    For the null hypothesis,

    µ = 15

    For the alternative hypothesis,

    µ > 15

    The inequality sign means that it is right tailed.

    Since the population standard deviation is not given, the distribution is a student's t.

    Since n = 36,

    Degrees of freedom, df = n - 1 = 36 - 1 = 35

    t = (x - µ) / (s/√n)

    Where

    x = sample mean = 16.33

    µ = population mean = 15

    s = samples standard deviation = 2.54

    t = (16.33 - 15) / (2.54/√36) = 3.14

    We would determine the p value using the t test calculator. It becomes

    p = 0.002
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A city is concerned that cars are not obeying school zones by speeding through them, putting children at greater risk of injury. The speed ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers