Exercise 10.02 Algo (Inferences About the Difference Between Two Population Means: Sigmas Known)
Consider the following hypothesis test.
The following results are for two independent samples taken from the two populations.
$H_0: \mu_1 - \mu_2 \leq 0$
$H_a: \mu_1 - \mu_2 > 0$
Sample 1
Sample 2
n? = 45
n? = 50
$\bar{x}_1 = 25.5$
$\bar{x}_2 = 23.0$
$\sigma_1 = 5.0$
$\sigma_2 = 6.0$
a. What is the value of the test statistic (round to 2 decimals)?
2.21
b. What is the p-value (round to 4 decimals)? Use z-value rounded to 2 decimal places.
c. With $\alpha = 0.05$, what is your hypothesis testing conclusion?
p-value is less than or equal to 0.05, reject
$H_0$
