The high temperature on Monday in Alaska was -2 degrees. Tuesday's high temperature was 3 degrees lower than Monday's. What was
1 answer:
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Answer:
the probability of a Type II error if in fact the mean waiting time u, is 9.8 minutes is 0.1251
Option A) is the correct answer.
Step-by-step explanation:
Given the data in the question;
we know that a type 11 error occur when a null hypothesis is false and we fail to reject it.
as in it in the question;
obtained mean is 9.8 which is obviously not equal to 8.3
But still we fail to reject the null hypothesis says mean is 8.3
Hence we have to find the probability of type 11 error
given that; it is right tailed and o.5, it corresponds to 1.645
so
z is equal to 1.645
z = (x-μ)/
where our standard deviation s = 3.8
sample size n = 50
mean μ = 8.3
we substitute
1.645 = (x - 8.3)/
1.645 = (x - 8.3) / 0.5374
0.884023 = x - 8.3
x = 0.884023 + 8.3
x = 9.18402
so, by general rule we will fail to reject the null hypothesis when we will get the z value less than 1.645
As we reject the null hypothesis for right tailed test when the obtained test statistics is greater than the critical value
so, we will fail to reject the null hypothesis as long as we get the sample mean less than 9.18402
Now, for mean 9.8 and standard deviation 3.8 and sample size 50
Z = (9.18402 - 9.8)/
Z = -0.61598 / 0.5374
Z = - 1.1462 ≈ - 1.15
from the z-score table;
P(z<-1.15) = 0.1251
Therefore, the probability of a Type II error if in fact the mean waiting time u, is 9.8 minutes is 0.1251
Option A) is the correct answer.
Answer:
Here, represents temperature and
denotes rate of chirping per minute.
Step-by-step explanation:
Let represents temperature and
denotes rate of chirping per minute.
At °F, a certain insect chirps at a rate of
times per minute.
Take
At °F, they chirp
times per minute.
Take
Slope intercept form:
Answer:
The ideal mechanical advantage (IMA) is .
Step-by-step explanation:
The ideal mechanical advantage is the ratio of length of longer lever to that of shorter lever
IMA
Please refer to the image attached.
We could see that the the resistance load moves cm towards the fulcrum so the distance of resistance load from fulcrum
Now the as the effort force moves towards the fulcrum overall distance from the fulcrum to the effort force (load)
Plugging the values of the distances in IMA formula we can have.
IMA .
So the IMA of the fulcrum (simple machine)
