Answer:
a. The null and alternative hypothesis are
b. P-value = 0.7181
c. The process should not be recalibrated. We have no enough statistical proof with this sample that the mean is not 23% (the null hypothesis π=23% could not be rejected).
Step-by-step explanation:
We want to know if there is enough statistical evidence to claim that the mean of the process is not 23%.
Then, the null and alternative hypothesis are
We assume a significance level of 0.05.
The sample of size N=10 has a p=0.232.
The standard deviation to is
The test statistic z is given by
The two-tailed P-value for z=-0.361 is P=0.7181. This value is bigger than the significance level, so the effect is not significant. The null hypothesis can not be rejected.
That means we have no statistical proof with this sample that the mean is not 23%. The process should not be recalibrated.
The area of the shaded region is 40π/3 square cm if the radius of the small circle r is 3 cm and the radius of the large circle R is 7 cm.
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a circle in which the shaded region is shown.
The radius of the small circle r = 3 cm
The radius of the large circle R = 3+4 = 7 cm
The area of the shaded region:
= area of the large circle sector - an area of the small circle sector
= (120/360)[π7²] - (120/360)[π3²]
= 49π/3 - 3π
= 40π/3 square cm or
= 13.34π square cm
Thus, the area of the shaded region is 40π/3 square cm if the radius of the small circle r is 3 cm and the radius of the large circle R is 7 cm.
Learn more about circle here:
brainly.com/question/11833983
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Answer:
13 i got it right on khan
Step-by-step explanation:
Answer:
Assuming he is having 2 more meals, the average would be 165.
Step-by-step explanation:
Answer:
3.45652173913
Step-by-step explanation:
the equation is 159 divided by 46
