Given the equation expressed as:
First, we need to calculate the value of "x" from the given expression.
Step 1: Given the equation 2x + 5 = 8x
Step 2: Subtract 5 from both sides:
Step 3: Subtract 8x from both sides
Step 4: Divide both sides by -6
Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:
Therefore the value of 12x is 10
The decision rule for rejecting the null hypothesis, considering the t-distribution, is of:
At the null hypothesis, it is tested if there is not enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means is of zero, hence:
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means different of zero, hence:
We have a two-tailed test, as we are testing if the mean is different of a value.
Considering the significance level of 0.05, with 75 + 46 - 2 = 119 df, the critical value for the test is given as follows:
|t| = 1.9801.
Hence the decision rule is:
More can be learned about the t-distribution in the test of an hypothesis at brainly.com/question/13873630
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