Answer:
The <em>p-</em>value of the test is 0.106.
The null hypothesis will be accepted at 5% level of significance.
Step-by-step explanation:
The hypothesis test is left-tailed.
The test statistic value is: <em>z</em> = -1.25.
The significance level of the test is: <em>α</em> = 0.05.
The <em>p</em>-value of a left-tailed hypothesis test is:
The <em>p-</em>value of the test is 0.106.
**Use the <em>z-</em>table for the probability.
<u>Decision rule:</u>
If the <em>p</em>-value is less than the significance level the null hypothesis will be rejected and if it is more than the significance level the null hypothesis will be accepted.
The <em>p</em>-value = 0.106 > <em>α</em> = 0.05.
The null hypothesis will be accepted at 5% level of significance.
Answer: C.
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Explanation:
The x intercept always occurs when y = 0.
Use the unit circle to determine that when
So if , then we have
which shows us that is the location of one of the infinitely many x intercepts for this function.
Answer:
a. 0.82%
b. 71.11%
c. 0.564 micrometer
Step-by-step explanation:
What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.
We have that z is equal to:
z = (x - m) / (sd)
x is the value to evaluate, m the mean, sd the standard deviation
a.
So for 0.62 copies we have:
z = (0.62 - 0.5) / (0.05)
z = 2.4
and this value represents 0.9918
p (x > 0.62) = 1 - 0.9918
p (x > 0.62) = 0.0082 = 0.82%
b.
So for 0.47 copies we have:
z = (0.47 - 0.5) / (0.05)
z = -0.6
and this value represents 0.2742
So for 0.63 copies we have:
z = (0.63 - 0.5) / (0.05)
z = -2.6
and this value represents 0.9953
p (0.47 > x > 0.63) = 0.9953 - 0.2742
p (0.47 > x > 0.63) = 0.7211 = 72.11 %
c.
So for x copies we have:
p = 0.9, It represents z =1.28
1.28 = (x - 0.5) / (0.05)
x = 1.28*0.05 + 0.5
x = 0.564 micrometer
