Betty makes an 8% commission on any artwork she sells. If she sells $125 worth of artwork, how much is her commission?
1 answer:
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Answer:
Options A, B and C are correct.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
From the Central Limit Theorem, we have that:
The larger the sample size, the closer to the normal distribution the distribution of sample means is.
No matter the sample size, the mean is the same.
The larger the sample size, the smaller the standard deviation.
The smaller the sample size, the larger the standard deviation.
So the correct options are:
A, B, C
Answer:
The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.
The expected numbers of voters who would vote for Brown is 3604.
Step-by-step explanation:
The sample statistic is a numerical quantity used to represent a characteristic of a sample. For example, sample mean is a sample statistic representing the average of the sample. Or, sample proportion is a sample statistic representing the proportion of a particular variable in the sample. Or sample variance is a sample statistic representing the variance of the sample.
The sample statistic can be used to estimate the population parameter.
They are known as the point estimate of the parameter.
The sample proportion of a variable <em>X</em> is given by:
It is provided that of the <em>n</em> = 250 registered voters selected, the number of voters who said they would vote for Brown is <em>X </em>= 77.
Compute the sample statistic for the proportion of voters surveyed who said they'd vote for Brown as follows:
Thus, the sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.
Compute the expected number of people of the 11700 registered voters who would vote for Brown as follows:
Thus, the expected numbers of voters who would vote for Brown is 3604.