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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

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Answer:

-2.05

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

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