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WITCHER [35]
3 years ago
10

Number 3 i need the answer

Mathematics
1 answer:
lubasha [3.4K]3 years ago
6 0
Explain so people know what number 3 is
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The average amount of water in randomly selected 16-ounce bottles of water is 16.15 ounces with a standard deviation of 0.45 oun
vekshin1

Answer:

0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 16.15, \sigma = 0.45, n = 35, s = \frac{0.45}{\sqrt{35}} = 0.0761

What is the probability that the mean of this sample is less than 15.99 ounces of water?

This is the pvalue of Z when X = 15.99. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{15.99 - 16.15}{0.0761}

Z = -2.1

Z = -2.1 has a pvalue of 0.0179

0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.

3 0
3 years ago
Tessellations that use only one type of regular polygon are called semi-regular tessellations. A. True B. False
Sauron [17]

The answer is B... False. Tansellations that use only one type of regular polygon are not called semi-regular tessellations

5 0
3 years ago
Irene has 1 gallon of milk. She uses
Maurinko [17]

Answer: 32

Step-by-step explanation: There are 128 fluid ounces in a gallon of milk so divide that by the 4 per bowl and you get 32 bowls

3 0
3 years ago
Read 2 more answers
There are (42)3 ⋅ 40 horses on a stud farm. What is the total number of horses on the farm?
Doss [256]

Answer:

5040

Step-by-step explanation:

When a number is in the Parenthesis that means you multiply. First you do 42*3 The answer would be 126. Since there is another Multiplication sign you just plug in your quotient (answer) into the problem. Now the equation is 126*40. 126*40=5040

6 0
3 years ago
Determine the range of the function in the table below.
maria [59]
The last one if I'm not mistaking
5 0
3 years ago
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