Question

A sample of baseball games shows that the mean length of the games is 179.83 minutes. (The data is given in BaseballTimes if you choose to look at it.) The standard error is 3.75. Does this sample provide evidence that the mean length of time for baseball games is more than 170 minutes? Use a standardized test statistic and the normal distribution. Show all details of the test.

Answer 1

Answer: Yes, This sample provide evidence that the length of time for baseball games is more than 170 minutes.

Step-by-step explanation:

Since we have given that

Mean length of the games = 179.83

Standard error = 3.75

We need to find the value of P(X>170).

So, it becomes,

$z=\dfrac{X-\mu}{s}=\dfrac{179-170}{3.75}\\\\z=2.4$

Let $z_{crict}=1.64$

Since z is greater than z(critical value).

So,Yes, This sample provide evidence that the length of time for baseball games is more than 170 minutes.