3.1.8 When conducting a two-sided test of significance, the value of the parameter under the null hypothesis is plausible and will be contained in a 95% confidence interval when: a. The p-value is less than or equal to 0.05. b. The p-value is greater than 0.05. c. There is no relationship between the p-value and the confidence interval.

b. The p-value is greater than 0.05.

Step-by-step explanation:

When we are testing a hypothesis, we have to look at the pvalue.

If the pvalue is less than the significance level, the null hypothesis is not plausible. Otherwise, if the pvalue is more than the significance level, the null hypothesis is plausible.

In this question:

95% means that the significance level is of 1 - 0.95 = 0.05.

Null hypothesis being plausible means that the pvalue is greater than the significance level, that is, greater than 0.05. So the correct answer is given by option b.

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step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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