Question

A hypothesis will be used to test that a population mean equals 9 against the alternative that the population mean is less than 9 with known variance . What is the critical value for the test statistic for the significance level of 0.020

Answer 1

Answer:

-2.05

Step-by-step explanation:

From the given information,

Let consider $\mu$ to represent the population mean

Therefore,

The null and alternative hypothesis can be stated as :

$H_o :\mu=9$

$H_1 :\mu<9$

From the hypothesis , the alternative hypothesis is one tailed (left)

when the level of significance = 0.020, the Z- critical value can be determined from the standard normal distribution table

Hence, the Z-critical value at ∝ = 0.020 is -2.05