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

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.

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3