Toss three fair coins and let x equal the number of heads observed
1 answer:
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Answer:
See explanation
Step-by-step explanation:
Consider the natural number
If is the natural number, then
are next two natural numbers, so numbers
and
are three consecutive numbers.
Given three consecutive natural numbers, one of them is always even number and one of them is always multiple of 3, so the product
is divisible by 6.
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.