# Question: Let X equal the forced vital capacity FVC in liters

Let X equal the forced vital capacity (FVC) in liters for a female college student. (The FVC is the amount of air that a student can force out of her lungs.) Assume that the distribution of X is approximately N(μ, σ2). Suppose it is known that μ = 3.4 liters. A volleyball coach claims that the FVC of volleyball players is greater than 3.4. She plans to test her claim with a random sample of size n = 9.

(a) Define the null hypothesis.

(b) Define the alternative (coach’s) hypothesis.

(c) Define the test statistic.

(d) Define a critical region for which α = 0.05. Draw a figure illustrating your critical region.

(e) Calculate the value of the test statistic given that the random sample yielded the following FVCs:

(f) What is your conclusion?

(g) What is the approximate p-value of this test?

(a) Define the null hypothesis.

(b) Define the alternative (coach’s) hypothesis.

(c) Define the test statistic.

(d) Define a critical region for which α = 0.05. Draw a figure illustrating your critical region.

(e) Calculate the value of the test statistic given that the random sample yielded the following FVCs:

(f) What is your conclusion?

(g) What is the approximate p-value of this test?

## Answer to relevant Questions

A company that manufactures brackets for an automaker regularly selects brackets from the production line and performs a torque test. The goal is for mean torque to equal 125. Let X equal the torque and assume that X is ...Let X and Y denote the weights in grams of male and female common gallinules, respectively. Assume that X is N(μX, σ2x) and Y is N(μY, σ2Y). (a) Given n = 16 observations of X and m = 13 observations of Y, define a test ...Let p be the fraction of engineers who do not understand certain basic statistical concepts. Unfortunately, in the past, this number has been high, about p = 0.73. A new program to improve the knowledge of statistical ...Data were collected during a step-direction experiment in the biomechanics laboratory at Hope College. The goal of the study is to establish differences in stepping responses between healthy young and healthy older adults. ...Let X be N(μ,100). To test H0: μ = 80 against H1: μ > 80, let the critical region be defined by C = {(x1, x2, ... , x25) : x ≥ 83}, where x is the sample mean of a random sample of size n = 25 from this ...Post your question