Suppose you want to use a confidence interval to estimate the true mean number of calories found in candy bars. It is known that
the distribution of the calories is normal. How many candy bars must you have in order to be sure the sampling distribution of x is normal?
2 answers:
Answer:
See explaination.
Step-by-step explanation:
Sampling distribution can be defined as a probability distribution of a statistic which is gotten through a large number of samples usually drawn from a specific population.
The sampling distribution of a given population can be described as the distribution of frequencies of a range of different outcomes that could possibly occur for a statistic of a population.
Please refer to attachment for a step by step technique to prove How many candy bars must you have in order to be sure the sampling distribution of x is normal.
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Hi there!
When adding fractions we ALWAYS need to make sure the that denominators are the SAME .We need to find a common denominator so that the two fractions are on the same terms. In the end, the denominator stays the same. Let's start:
We are given 2 fractions to add:
We need to find a LEAST common denominator, start by listing the factors of 5 and 11 since both of these numbers are in the denominator.
Factors of 5: <span>5, 10, 15, 20, 25, 30, 35, 40, 45, 50, </span><span>55
Factors of 11: </span><span>11, 22, 33, 44, </span><span><span>55
</span>As we see above, 55 is our LCD (least common denominator)
We can change the denominator of both fractions to 55 since this is our LCD:
</span>
However, if the denominator changes, the numerator changes as well. We use the following formula to find the numerators:
4/55
When adding fractions we ALWAYS need to make sure the that denominators are the SAME .We need to find a common denominator so that the two fractions are on the same terms. In the end, the denominator stays the same. Let's start:
We are given 2 fractions to add:
We need to find a LEAST common denominator, start by listing the factors of 5 and 11 since both of these numbers are in the denominator.
Factors of 5: <span>5, 10, 15, 20, 25, 30, 35, 40, 45, 50, </span><span>55
Factors of 11: </span><span>11, 22, 33, 44, </span><span><span>55
</span>As we see above, 55 is our LCD (least common denominator)
We can change the denominator of both fractions to 55 since this is our LCD:
</span>
However, if the denominator changes, the numerator changes as well. We use the following formula to find the numerators:
(Common Denominator ÷ Denominator) x Numerator = Numerator
Lets start by finding the numerator for the first fraction:4/55
<span>(55 (common denominator) ÷ 5 (original denominator) × 4 (numerator) = 44</span>
The first fraction becomes:
Now let's do the second:
9/55
<span>(55(common denominator) ÷ 11(original denominator))×9(</span>numerator) = 45
Now we have:
Now we have two fractions to add:
Only add the numerators, the denominators stay the SAME !
44+45=89
Final answer:
If you have further questions on this problem, please do not hesitate to comment below! :) Have a nice day!