Suppose that a one-tail t - test is being applied to find out if the population mean is less than 100. The level of significance is 0.05 and 25 observations were sampled. The rejection region is:

Reject H₀ if: or .

Step-by-step explanation:

The hypothesis for the one-tail t-test is:

H₀: The population mean is 100, i.e. μ = 100.

Hₐ: The population mean is less than 100, i.e. μ < 100.

The significance level of the test is, α = 0.05.

The number of observations in the sample is, n = 25.

The degrees of freedom of the test is:

df = n - 1

   = 25 - 1

   = 24

Compute the critical value of t as follows:

*Use a t-table.

The rejection region can be defined as follows:

Reject H₀ if: or .

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

salary

step-by-step explanation: