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organic chemists often purify organic compounds by a method known as fractional crystallization. an experimenter wanted to prepare and purify 4.85 g of aniline. ten 4.85-gram specimens of aniline were prepared and purified to produce acetanilide. the following dry yields were obtained: 3.85, 3.88, 3.90, 3.62, 3.72, 3.80, 3.85, 3.36, 4.01, 3.82 construct a 95% confidence interval for the mean number of grams of acetanilide that can be recovered from 4.85 grams of aniline. assume that the obtained dry yields of acetanilide are i.i.d. and approximately normally distributed with an unknown mean and variance.

Respuesta :

As calculated from the given data the confidence interval for μ is (3.65, 3.91).

Let X_1,..,X_nX 1 ,..,X n  are n observations

from population with mean μ.

Than sample mean

= n1i=1/n∑X i​

Sample variance is defined by,

s = 1/( n-1 )∑(X i​ - mean) ²

n = sample size = 10

c = 95%

therefore ,

mean = 37.82/10

          =3.782

variance = 0.29556/9

               =0.03

Data points' variance from the mean is a measure of how they vary. A variance, according to Layman, is a measurement of how widely apart a set of data (numbers) are from their mean (average) value.

Finding the expected difference of deviation from the actual number is what is meant by variance. As a result, variance is influenced by the data set's standard deviation.

Data is more dispersed from its mean the higher the variance value, and less dispersed from mean if the variance value is low or minimal. As a result, it is referred to as a measure of data spread from mean.

To learn more about variance

brainly.com/question/15707019

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