Probability Distribution Needed for Hypothesis Testing · Exercise 12

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%, do LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average? The distribution to be used for this test is $\bar{X}$ ~ ________________

(a) $N\left(7.24,\frac{1.93}{\sqrt{22}}\right)$
(b) $N\left(7.24,1.93\right)$
(c) t_22
(d) t_21

OpenStax, Introductory Business Statistics 2e · §9.3 Probability Distribution Needed for Hypothesis Testing · Exercise 12