Question

In: Statistics and Probability

A safety officer wants to prove that the average speed of cars driven by a school...

A safety officer wants to prove that the average speed of cars driven by a school is less than 25 mph. Suppose that a random sample of 14 cars shows an average speed of 24 mph, with a sample standard deviation of 2.2 mph. Assume that the speed of cars are normally distributed.
Provide the notation for the underlined value. That is, what does it represent?

Solutions

Expert Solution

Solution :

= 25

=24

S =2.2

n = 14

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :    = 25

Ha : < 25

Test statistic = t

= ( - ) / S / n

= (24-25) / 2.2 / 14

= -1.701

Test statistic = t= -1.701  

P-value =0.0564


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