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zubka84 [21]
3 years ago
14

True or false: a. ln56/ln7 = ln8 b. ln(x+y)-ln(x+y)=0

Mathematics
1 answer:
Nonamiya [84]3 years ago
7 0

a) FALSE (would be TRUE if it said LN(56)-LN(7)=LN(8))

b) TRUE (because LN(x+y)-LN(x+y)=LN[(x+y)/(x+y)]=LN(1)=0)

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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.

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When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:

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Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?

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