Use the following information for questions:
A counselor wants to show that for men who are married by the time they are 30, $\mu$= average age when the men are married is not 21 years old. A random sample of 10 men who were married by age 30 showed an average age at marriage of 22.2, with a sample standard deviation of 1.9 years. Assume that the age at which this population of men get married for the first time is normally distributed.
-What is the value of the test statistic?
A) t =1.80
B) t =2.00
C) t =2.33
D) None of the above

Question

Use the following information for questions:
 A counselor wants to show that for men who are married by the time they are 30, $\mu$= average age when the men are married is not 21 years old. A random sample of 10 men who were married by age 30 showed an average age at marriage of 22.2, with a sample standard deviation of 1.9 years. Assume that the age at which this population of men get married for the first time is normally distributed.
-What is the value of the test statistic?
A) t =1.80
B) t =2.00
C) t =2.33
D) None of the above

Quizplus · Accepted Answer

The test statistic is calculated using the formula: $ t = \frac{\bar{x} - \mu}{s/\sqrt{n}} $. Here, $\bar{x} = 22.2$, $\mu = 21$, $s = 1.9$, and $n = 10$. Plugging in these values gives $ t = \frac{22.2 - 21}{1.9/\sqrt{10}} = 2.00 $.

Use the Following Information for Questions: a Counselor Wants μ\muμ

Use the Following Information for Questions:
a Counselor Wants $\mu$