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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princessesther2011 princessesther2011 · Answer 1 · 2020-03-17T03:38:08+01:00

Answer:

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.

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MrRoyal MrRoyal · Answer 2 · 2022-03-24T13:20:20+01:00

The critical value of the test statistic for the significance level of 0.01 is 2.326

The given parameters are:

[tex]H_o: \mu = 5[/tex] -- the null hypothesis

[tex]H_a: \mu < 5[/tex] --- the alternate hypothesis

Significance level = 0.01

Since the alternate hypothesis is represented by a less than inequality sign, then it means that the test is a one-tailed test

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

Hence, the critical value is 2.326