A hypothesis will be used to test that a population mean equals 5 against the alternative that the population mean is less than 5 with known variance. What is the critical value for the test statistic for the significance level of 0.01

Question

Mathematics

Vance Anderson

2 February, 13:35

A hypothesis will be used to test that a population mean equals 5 against the alternative that the population mean is less than 5 with known variance. What is the critical value for the test statistic for the significance level of 0.01

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Silvia · Answer 1

For the significance level of 0.01, the critical value for the test statistic is 2.326.

Step-by-step explanation:

Null hypothesis: population mean equals 5.

Alternate hypothesis: population mean is less than 5.

The test is a one-tailed test because the alternate hypothesis is expressed using less than.

For a one-tailed test, the critical value of the test statistic for the significance level of 0.01 is 2.326.