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3 years ago

What is the value of log 13? Use a calculator. Round your answer to the nearest tenth. 0.1 0.3 1.1 2.6

2 answers:

8 0

A logarithm is defined as a power to which a number must be raused to in order to get another number. For example,
$log_{2}(8) = 3$
This is because
${2}^{3} = 8$
So if we have
$log(13) = x$
We have to determine what number must 10 be raised to in order to give 13 so we have
$log(13) = 1.11394 \\ {10}^{1.11394} = 13$

andriy [413]3 years ago

3 0

<h2>Answer:</h2>

<h2>Step-by-step explanation:</h2>

To find the log of any number with the help of calculator we simply enter the number from the buttons and then press the button which is labeled as log. The result is shown on the screen. Sometimes there are calculators that need the value to be entered after the log button is pressed. So if we find the log of 13, it comes out to be 1.1394 which by rounding off becomes 1.1 only which is the third choice.

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Assume the average height for American women is 64 inches with a standard deviation of 2 inches. A sorority on campus wonders if

satela [25.4K]

Answer:

a) s = 0.4

b) Z = 2.5

c) 99th percentile.

d) The larger sample size would lead to a smaller margin of error, which would lead to a higher z-score and a increased percentile.

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

Assume the average height for American women is 64 inches with a standard deviation of 2 inches

This means that $\mu = 64, \sigma = 2$

A) Calculate the standard error for the distribution of means.

Sample of 25 means that $n = 25$ , so $s = \frac{2}{\sqrt{25}} = 0.4$ .

B) Calculate the z statistic for the sorority group.

Sample mean of 65 means that $X = 65$ .

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{0.4}$

$Z = \frac{65 - 64}{0.4}$

$Z = 2.5$

C) What is the approximate percentile for this sample? Enter as a whole number.

Z = 2.5 has a p-value of 0.9938, so 0.99*100 = 99th percentile.

D) If the sorority actually had 36 members (still with an average of 65 inches), would you expect the percentile value to increase or decrease? why?

The larger sample size would lead to a smaller margin of error, which would lead to a higher z-score and a increased percentile.

3 0

3 years ago

How to change .365 to a percent

KATRIN_1 [288]

Multipl .365 by 100 and you get 36.5%

3 0

3 years ago

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sleet_krkn [62]

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