I^2 is negative 1, but I see you have a negative sign there. So it is -(-1), which is 1.
Using the p-value method, the decision rule is:
- |z| < 1.645: do not reject the null hypothesis.
- |z| > 1.645: reject the null hypothesis.
<h3>What is the relation between the p-value and the test hypothesis?</h3>
Depends on if the p-value is less or more than the significance level:
- If it is more, the null hypothesis is not rejected.
- If it is less, it is rejected.
In this problem, we have a two-tailed test, as we are testing if the mean is different of a value. For a significance level of 0.1, the critical value of z(when a p-value of 0.1 is obtained) is of |z| = 1.645, hence the decision rule is:
- |z| < 1.645: do not reject the null hypothesis.
- |z| > 1.645: reject the null hypothesis.
More can be learned about p-values at brainly.com/question/13873630
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69.9 is exactly 3 standard deviations away, which means that 78.9 is +3 (more than 3) standard deviations
So the answer is 78.9
The central angle and the length of arc are related by the formula:
Length of arc = (θ/360) * 2πr
Where θ = Central angle.
If the central angle is one quarter of the entire circle, the length of arc would also be one quarter of the entire circumference of the circle.
