Suppose that a manufacturer is testing one of its machines to make sure that the machine is producing more than 97% good parts
1 answer:
Answer:
a. We fail to reject H0,making a Type II error.
Step-by-step explanation:
H0: Null Hypothesis: p = 0.97 HA: Alternative Hypothesis: p > 0.97
P- Value = 0.102 if = 0.05. therefore P-value >
. we have therefore failed to reject the null hypothesis H0.
The following rule states that when we reject H0, H0 is true for Type I error and Ha is true for correct decision. When we fail to reject H0, H0 is true for correct decision and Ha is true for Type II error.
Based on the above and having failed to reject a false null hypotheses, Type II error is the failure to reject a false null hypothesis, thus making a Type II error. Therefore when we fail to reject H0, we make a Type II error.
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Given:
The graph of a translation. X'Y' is a translation of XY.
To find:
The rule of the translation.
Solution:
Let the rule of the translation be
...(i)
So, we need to find the value of a and b.
From the given graph, it is clear that X(-4,-9) and X'(-1,0).
Using (i), the image of X(-4,-9) is
We have, X'(-1,0). So,
On comparing both sides, we get
And,
So, the missing values in the rule of the translation are 3 and 9 respectively.
Therefore, the rule of translation is .