Suppose a hypothesis test for a population mean is correctly conducted and the decision is made to not reject the null hypothesis. What type of error could have been made? Select one: a. A Type I Error b. A Type II Error c. Either type of error could have been made. d. Neither type of error could have been made if the test was conducted correctly.

B) type II error

Step-by-step explanation: whenever hypothesis test is performed it is not possible to be 100% certain about the conclusion or decision made, hence their must be a level of confidence for the conclusion made.

The level of significance (α) usually takes the lower percentage of the area of distribution.

When you reject the null hypothesis instead of accepting it, you commit a type I error, the probability of committing this error is the level of significance (α).

When you accept the null hypothesis when you are suppose to reject it, you commit a type II error and the probability of committing this error is confidence level (β) which is (1- α)

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since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: