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identify the type i error. you decide that the mean speed of your inter…

Question

identify the type i error.
you decide that the mean speed of your internet connection is not more than 110 megabits per second, when, in reality, the speed of your internet connection is more than 110 megabits per second.
you decide that the mean speed of your internet connection is not more than 110 megabits per second, when, in reality, the speed of your internet connection is not more than 110 megabits per second.
you decide that the mean speed of your internet connection is more than 110 megabits per second, when, in reality, the speed of your internet connection is not more than 110 megabits per second.
you decide that the mean speed of your internet connection is more than 110 megabits per second, when, in reality, the speed of your internet connection is more than 110 megabits per second.
identify the type ii error.
you decide that the mean speed of your internet connection is not more than 110 megabits per second, when, in reality, the speed of your internet connection is more than 110 megabits per second.
you decide that the mean speed of your internet connection is not more than 110 megabits per second, when, in reality, the speed of your internet connection is not more than 110 megabits per

Explanation:

Brief Explanations
  • Type I Error: A Type I error occurs when we reject a null hypothesis that is actually true. In hypothesis testing for the mean speed of the internet connection (assuming the null hypothesis \(H_0:\mu\leq110\) and alternative hypothesis \(H_A:\mu > 110\)), a Type I error is made when we decide to reject \(H_0\) (conclude \(\mu> 110\)) when \(H_0\) is true (\(\mu\leq110\) in reality).
  • Type II Error: A Type II error occurs when we fail to reject a null hypothesis that is actually false. So, it is when we do not reject \(H_0:\mu\leq110\) (conclude \(\mu\leq110\)) when \(H_0\) is false (\(\mu > 110\) in reality).

Answer:

  • Type I Error: You decide that the mean speed of your internet connection is more than 110 megabits per second, when, in reality, the speed of your internet connection is not more than 110 megabits per second.
  • Type II Error: You decide that the mean speed of your internet connection is not more than 110 megabits per second, when, in reality, the speed of your internet connection is more than 110 megabits per second.