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The decision rule for rejecting the null hypothesis, considering the t-distribution, is of:
- |t| < 1.9801 -> do not reject the null hypothesis.
- |t| > 1.9801 -> reject the null hypothesis.
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:
- |t| < 1.9801 -> do not reject the null hypothesis.
- |t| > 1.9801 -> reject the null hypothesis.
More can be learned about the t-distribution in the test of an hypothesis at brainly.com/question/13873630
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Answer:
Option The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded above
the line
Step-by-step explanation:
we have
The solution of the inequality is the shaded area above the dashed line The equation of the dashed line is
The slope of the dashed line is positive
The y-intercept of the dashed line is -8
see the attached figure to better understand the problem
ANSWER
EXPLANATION
We were told that the motorist travelled 250 miles on 11 gallons of gas. This implies that,
Now we want to find how far he could go on 16 gallons.
All other things being equal, the motorist should cover more than 250 miles with 16 gallons of gas.
Recall that: If more, less divides.
This implies that,
Therefore the correct answer is C.
EXPLANATION
We were told that the motorist travelled 250 miles on 11 gallons of gas. This implies that,
Now we want to find how far he could go on 16 gallons.
All other things being equal, the motorist should cover more than 250 miles with 16 gallons of gas.
Recall that: If more, less divides.
This implies that,
Therefore the correct answer is C.