Question

an overly involved neighborhood watch group has been investigating the length of lawns. in years past, lawn lengths are normally distributed and lawns had been mowed to a mean length of 3.2 inches. a recent random sample of 17 lawn lengths is given below. conduct an appropriate test, at a 5% significance level, to determine if the overall mean lawn length is now higher than 3.2 inches. round all answers to 4 decimal places. checksum: 57.99 a. consider the parameter of interest and choose the correct alternate hypothesis. lawn length (in.) 3.59 3.35 4.08 3.95 3.8 4.33 3.36 3.48 3.48 2.95 3.37 2.16 3.4 3.51 3.57 2.33 3.28

Explanation:

Step1: Identify the parameter of interest

The parameter of interest is the population mean $\mu$ of lawn lengths.

Step2: Determine the alternative hypothesis

We want to test if the overall mean lawn length is now higher than 3.2 inches. So the alternative hypothesis is $H_{a}:\mu > 3.2$.

Answer:

$H_{a}:\mu > 3.2$