20 problems, Applied Statistics

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X-bar charts when the mean and standard deviation not known , Charts when t...

Charts when the Mean and the Standard Deviation are not known We consider the data corresponding to the example of Piston India Limited. Since we do not know population mean a

Bimodal distribution, There may be two values which occur with the same max...

There may be two values which occur with the same maximum frequency. The distribution is then called bimodal. In a bimodal distribution, the value of mode cannot be determined with

Assumptions in anova, Assumptions in ANOVA The various populations f...

Assumptions in ANOVA The various populations from which the samples are drawn should be normal and have the same variance. The requirement of normality can be discarded if t

Two-tailed and one-tailed tests, If the test is two-tailed, H1:  μ ≠  μ 0  ...

If the test is two-tailed, H1:  μ ≠  μ 0  then the test is called two-tailed test and in such a case the critical region lies in both the right and left tails of the sampling distr

Small sample test for mean, If the sample size is less than 30, then we nee...

If the sample size is less than 30, then we need to make the assumption that X (the volume of liquid in any cup) is normally distributed. This forces    (the mean volume in the sam

Chi square test for more than two rows, Using Chi Square Test when more tha...

Using Chi Square Test when more than two Rows are Present   To understand this, let us consider the contingency table shown below. It gives us the information about the stage

Calculate the normal loss and abnormal loss, Chemical processors manufactur...

Chemical processors manufacture wondercool using two processes- mixing and distillation. The following details relate to the distillation process for a period. No opening work i

Determine the subset of variables, Agency revenues. An economic consultant ...

Agency revenues. An economic consultant was retained by a large employment agency in a metropolitan area to develop a regression model for predicting monthly agency revenues ( y ).

Analysis of variance for the data, Analysis of Variance for the data: ...

Analysis of Variance for the data: Draw a random sample of size 25 from the following data : (a) With Replacement and   (b) Without Replacement and obtain Mean and Varia

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