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To analyze the food expenditures for a typical family of four that spends $490 per month, we can assume that the expenditures are normally distributed. If we know the mean is $490, we would also need the standard deviation to understand the variability in spending. This information allows us to determine the percentage of families that spend above or below this amount, as well as to identify expenditure ranges that fall within certain confidence intervals.

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What is Normal of probability distribution?

with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.


What kind of distribution is a standard z distribution?

It is the normalised Gaussian distribution. To speak of a 'standard z' distribution is somewhat redundant because a z-score is already standardised. A z-score follows a normal or Gaussian distribution with a mean of zero and a standard deviation of one. It's these specific parameters (this mean and standard deviation) that are considered 'standard'. Speaking of a z-score implies a standard normal distribution. This is important because the shape of the normal distribution remains the same no matter what the mean or standard deviation are. As a consequence, tables of probabilities and other kinds of data can be calculated for the standard normal and then used for other variations of the distribution.


What distribution is a sampling distribution referring to?

A sampling distribution refers to the distribution from which data relating to a population follows. Information about the sampling distribution plus other information about the population can be inferred by appropriate analysis of samples taken from a distribution.


What are features of a population which follows normal distribution?

Height, weight, IQ,


What are the uses of Normal Distribution?

The normal distribution is very important in statistical analysis. A considerable amount of data follows a normal distribution: the weight and length of items mass-produced usually follow a normal distribution ; and if average demand for a product is high, then demand usually follows a normal distribution. It is possible to show that when the sample is large, the sample mean follows a normal distribution. This result is important in the construction of confidence intervals and in significance testing. In quality control procedures for a mean chart, the construction of the warning and action lines is based on the normal distribution.

Related Questions

What is Normal of probability distribution?

with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.


What kind of distribution is a standard z distribution?

It is the normalised Gaussian distribution. To speak of a 'standard z' distribution is somewhat redundant because a z-score is already standardised. A z-score follows a normal or Gaussian distribution with a mean of zero and a standard deviation of one. It's these specific parameters (this mean and standard deviation) that are considered 'standard'. Speaking of a z-score implies a standard normal distribution. This is important because the shape of the normal distribution remains the same no matter what the mean or standard deviation are. As a consequence, tables of probabilities and other kinds of data can be calculated for the standard normal and then used for other variations of the distribution.


How does the bell curve relates to the empirical rule?

The bell curve, also known as the normal distribution, is a symmetrical probability distribution that follows the empirical rule. The empirical rule states that for approximately 68% of the data, it lies within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations when data follows a normal distribution. This relationship allows us to make predictions about data distribution based on these rules.


What percent of data falls between 1 Standard deviation below and 2 stand deviations above the mean?

The answer will depend on what the distribution is. Non-statisticians often assum that the variable that they are interested in follows the Standard Normal distribution. This assumption must be justified. If that is the case then the answer is 81.9%


What is the grade distribution at Northern Arizona University (NAU)?

The grade distribution at Northern Arizona University (NAU) varies by course and professor, but typically follows a standard grading scale of A, B, C, D, and F. The distribution of grades is influenced by factors such as the difficulty of the course, the grading policies of the professor, and the academic performance of the students.


What distribution is a sampling distribution referring to?

A sampling distribution refers to the distribution from which data relating to a population follows. Information about the sampling distribution plus other information about the population can be inferred by appropriate analysis of samples taken from a distribution.


Is there a standard size for a euro-slot?

Yes there is a standard and it should be as follows:


What are features of a population which follows normal distribution?

Height, weight, IQ,


What are the uses of Normal Distribution?

The normal distribution is very important in statistical analysis. A considerable amount of data follows a normal distribution: the weight and length of items mass-produced usually follow a normal distribution ; and if average demand for a product is high, then demand usually follows a normal distribution. It is possible to show that when the sample is large, the sample mean follows a normal distribution. This result is important in the construction of confidence intervals and in significance testing. In quality control procedures for a mean chart, the construction of the warning and action lines is based on the normal distribution.


What is the Distribution strategy adopted by Sony in India?

Sony india follows a one level distribution strategy i.e. manufacturer to retailers to customers.


What is standard index card measurement?

3x5 is the standard size as it closely follows the golden ratio


What is Chi-square Probability Distribution?

Given Z~N(0,1), Z^2 follows χ_1^2 Chi-square Probability Distribution with one degree of freedom Given Z_i~N(0,1), ∑_(i=1)^ν▒Z_i^2 follows χ_ν^2 Chi-square Probability Distribution with ν degree of freedom Given E_ij=n×p_ij=(r_i×c_j)/n, U=∑_(∀i,j)▒(O_ij-E_ij )^2/E_ij follows χ_((r-1)(c-1))^2 Chi-square Probability Distribution with ν=(r-1)(c-1) degree of freedom Given E_i=n×p_i, U=∑_(i=1)^m▒(O_i-E_j )^2/E_i follows χ_(m-1)^2 Chi-square Probability Distribution with ν=m-1 degree of freedom