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 p-value?
A) p-value = 0.039
B) p-value = 0.053
C) p-value = 0.070
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 p-value?
A) p-value = 0.039
B) p-value = 0.053
C) p-value = 0.070
D) None of the above

Quizplus · Accepted Answer

The test statistic is calculated using the formula for a one-sample t-test: $ t = \frac{\bar{x} - \mu}{s/\sqrt{n}} $, where $\bar{x} = 200$, $\mu = 185$, $s = 59.5$, and $n = 51$. The calculated t-value is approximately 1.76. Using a t-distribution table or calculator with 50 degrees of freedom, the p-value for a one-tailed test is approximately 0.039.

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

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