Answer: 2.093
Step-by-step explanation:
As per give , we have
Sample size : n= 20
Degree of freedom : df= n-1=19
Significance level :
Since , the sample size is small (n<30) so we use t-test.
For confidence interval , we find two-tailed test value.
Using students's t-critical value table,
Critical t-value :
Thus, the critical value for the 95% confidence interval = 2.093
Answer:
The 99% lower confidence bound for the true average weight loss is 3.98 pounds.
This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 11 - 6.02 = 3.98 pounds
The 99% lower confidence bound for the true average weight loss is 3.98 pounds.
This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.
Answer:
No real root.
Complex roots:
Step-by-step explanation:
There are no two integers whose product is 5 and whose sum is 2, so this trinomial is not factorable. We can use the quadratic formula.
Since we have a square root of a negative number, there are no real roots. If you have learned complex numbers, then we can continue.
