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Georgia [21]
3 years ago
11

The width of a confidence interval is defined to be the upper bound of the confidence interval minus the lower bound of the conf

idence interval. For example, if a confidence interval is (−2.34,9.87), then the width of this confidence interval is 9.87−(−2.34)=12.21. Assume that we are estimating the mean of a population. Assuming that the confidence coefficient, the sample mean and sample standard deviation stay the same, if we decrease the the sample size of a confidence interval from 100 to 50, then the width of that confidence interval will also decrease.True or False?
Mathematics
1 answer:
Semmy [17]3 years ago
4 0

Answer:

False

Step-by-step explanation:

Steps in calculating confidence Interval are

  1. Calculate degree of freedom by subtracting 1 from sample size that is df=sample size -1
  2. find α by subtracting confidence interval level from 1 and divide by 2
  3. Use value ot α and df to determine t from t-distribution table. From table it can be seen that the value of t increases as value of df decreases
  4. Divide standard distribution by square root of sample size. As sample size decreases this value will increase
  5. Multiple step 3 by step 4. We can say, if sample size is decreased this value will increase.
  6. For lower end , subtract step 5 from sample mean and for upper end add step 5 to sample mean.

If sample size is decrased, step 3 and step 4 will increase. As a result result obtained from step 5 will also increase. Hence, confidence interval will increase if sample size is decreased

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2 years ago
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A bag of chips is 24 ounces. A serving size is 3/4 ounce. How many servings are in the bag of chips?
marysya [2.9K]

Answer:

The correct answer to the following question will be "32 servings".

Step-by-step explanation:

The given values are,

A bag of chips = 24 ounces

Serving size = 3/4 ounces

Servings = ?

Now,

On dividing "24 ounces" by "3/4 ounce", we get

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4 0
3 years ago
Please help with this, Thank You.
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Answer:

x = 12

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4 0
2 years ago
Simplify 49/21 to lowest terms.​
timurjin [86]
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2 years ago
Given: m = 1/2 and b=4
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Answer:

y = \frac{1}{2} x + 4

Step-by-step explanation:

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here m = \frac{1}{2} and b = 4, hence

y = \frac{1}{2} x + 4 ← equation of line


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3 years ago
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