The answer of the equstion is -5
I think the result are 1 and 4
Answer:
We can find the critical value 
And for this case if the confidence increase the critical value increase so then this statement is True
Step-by-step explanation:
For a confidence level given c, we can find the significance level like this:
And with the degrees of freedom given by:
We can find the critical value
And for this case if the confidence increase the critical value increase so then this statement is True
Can you take the quantity [ x + y ] and square it ?
Can you take the quantity [ x + 2y ] and square it ?
Then you should have no trouble with the square of (.9x + .8y) .
The square of any binomial (expression with 2 terms) is
(square of the first term)
+ (square of the second term)
+ 2 times (product of the terms) .
Answer:
e. The probability of observing a sample mean of 5.11 or less, or of 5.29 or more, is 0.018 if the true mean is 5.2.
Step-by-step explanation:
We have a two-tailed one sample t-test.
The null hypothesis claims that the pH is not significantly different from 5.2.
The alternative hypothesis is that the mean pH is significantly different from 5.2.
The sample mean pH is 5.11, with a sample size of n=50.
The P-value of the test is 0.018.
This P-value corresponds to the probability of observing a sample mean of 5.11 or less, given that the population is defined by the null hypothesis (mean=5.2).
As this test is two-tailed, it also includes the probability of the other tail. That is the probability of observing a sample with mean 5.29 or more (0.09 or more from the population mean).
Then, we can say that, if the true mean is 5.2, there is a probability P=0.018 of observing a sample of size n=50 with a sample mean with a difference bigger than 0.09 from the population mean of the null hypothesis (5.11 or less or 5.29 or more).
The right answer is e.
