Back to 9.2 Outcomes and the Type I and Type II Errors

9.2 Exercise 19

Avg difficulty 2.5

It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per night, on average. A survey of 22 LTCC Intermediate Algebra students generated a mean of 7.24 hours with a standard deviation of 1.93 hours. At a level of significance of 5 percent, do LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average?

The Type II error is not to reject that the mean number of hours of sleep LTCC students get per night is at least seven when, in fact, the mean number of hours

  1. is more than seven hours.
  2. is at most seven hours.
  3. is at least seven hours.
  4. is less than seven hours.

OpenStax Statistics, 9.2 Outcomes and the Type I and Type II Errors, exercise 19

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Adapted from Statistics © 2022 Rice University. Licensed under CC BY 4.0. Source: Statistics. Imported at revision 7dea80a.