Use the following information for questions:
An investigator wants to assess whether the mean $\mu$ = the average weight of passengers flying on small planes exceeds the FAA guideline of average total weight of 185 pounds (passenger weight including shoes, clothes, and carry-on). Suppose that a random sample of 51 passengers showed an average total weight of 200 pounds with a sample standard deviation of 59.5 pounds. Assume that passenger total weights are normally distributed.
-What is the value of the test statistic?
A) t = 1.50
B) t = 1.65
C) t = 1.80
D) None of the above

Question

Use the following information for questions:
 An investigator wants to assess whether the mean $\mu$ = the average weight of passengers flying on small planes exceeds the FAA guideline of average total weight of 185 pounds (passenger weight including shoes, clothes, and carry-on). Suppose that a random sample of 51 passengers showed an average total weight of 200 pounds with a sample standard deviation of 59.5 pounds. Assume that passenger total weights are normally distributed.
-What is the value of the test statistic?
A) t = 1.50
B) t = 1.65
C) t = 1.80
D) None of the above

Quizplus · Accepted Answer

The test statistic is calculated using the formula: $ t = \frac{\bar{x} - \mu}{s/\sqrt{n}} $, where $\bar{x} = 200$, $\mu = 185$, $s = 59.5$, and $n = 51$. Plugging in these values gives $ t = \frac{200 - 185}{59.5/\sqrt{51}} \approx 1.80 $.

Use the Following Information for Questions: an Investigator Wants μ\muμ

Use the Following Information for Questions:
an Investigator Wants $\mu$