Answer:
D. No, because the sample size is large enough.
Step-by-step explanation:
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
If the sample size is higher than 30, on this case the answer would be:
D. No, because the sample size is large enough.
And the reason is given by The Central Limit Theorem since states if the individual distribution is normal then the sampling distribution for the sample mean is also normal.
From the central limit theorem we know that the distribution for the sample mean
is given by:
If the sample size it's not large enough n<30, on that case the distribution would be not normal.
H=-2
8+-2=6
Hope that helps
Answer:
A) Increase the significance level to increase the probability of a Type I error
Step-by-step explanation:
According to the information of the problem we can say that the researchers have the difficulty with a test that is evaluating a machine, which works well but the test does not get to verify this information correctly, we have that the null hypothesis is that the new machine does not improve precision, so the risk of the researchers is to accept the hypothesis when it is false, what is called type II error, to avoid this, the level of significance should be increased, which in turn would increase the probability of type I error. , so the correct answer is A.
Answer:
The percentage of increase in fuel expenses is 20%
Step-by-step explanation:
Given:
Fuel expense in last year = $800
Fuel expense in this year = $960
To Find:
The percentage of increase
Solution:
Let the percentage increase be X
Then X =
Now substituting the values we get,



X= 20%
First, you have to convert 75/8 into a mixed fraction which will be 9 3/8. 9 3/8+ 5 3/4 = 15 1/8. Finally, you do 19 1/2 - 15 1/8 which is 4 3/8
The answer is 4 3/8