Book Prices. The R. R. Bowker Company collects data on book prices and publishes its findings in The Bowker Annual Library and Book Trade Almanac. Independent simple random samples of hardcover books in law, science, medicine, and technology gave the data, in dollars, on the WeissStats site.

a. Obtain individual normal probability plots and the standard deviation of the samples.

b. Perform a residual analysis.

c. Use your results from parts (a) and (b) to decide whether conducting a one-way ANOVA test on the data is reasonable. If so. also do parts (d) and (e).

d. Use a one-way ANOVA test to decide, at the $5\%$significance level, Whether the data provide sufficient evidence to conclude that a difference exists among the means of the populations fewer than the samples were taken.

e. Interpret your results from part (d).

ANOVA, or non - parametric tests, is a potent quantitative approach for revealing the disparity amongst two or more phenomena or aspects using variable importance. It also illustrates how to determine statistical significance among several demographics.

The individual normal probability plots of the samples are given in the following MINITAB output:

The mean and standard deviation of the samples are given in the following MINITAB output:

ANOVA, or non - parametric tests, is a potent quantitative approach for revealing the disparity amongst two or more phenomena or aspects using variable importance. It also illustrates how to determine statistical significance among several demographics.

The residual analysis' normal probability is plotted, and the residual value increases as the percentage increases.

ANOVA, or non - parametric tests, is a potent quantitative approach for revealing the disparity amongst two or more phenomena or aspects using variable importance. It also illustrates how to determine statistical significance among several demographics.

It appears plausible to assume that the assumption of normal populations is met based on the normal probability plots.

We can see that the highest sample standard deviation $(15.26)$is less than twice the lowest sample standard deviation from the standard deviations of the four samples $(10.43)$. As a result, the criteria of equal standard deviations in the population is met.

It appears acceptable to assume that the assumption of normal populations is met based on the normal probability plot of residuals.

ANOVA, or non - parametric tests, is a potent quantitative approach for revealing the disparity amongst two or more phenomena or aspects using variable importance. It also illustrates how to determine statistical significance among several demographics.

The null and alternative hypotheses are

$H_0:{\mu }_1={\mu }_2={\mu }_3={\mu }_4$(Mean prices are equal)

$H_a:$Not all the means are equal

We are to perform the test at the $5\%$significance level;

so $\alpha =0.05$The MINITAB output is as follows:

ANOVA, or non - parametric tests, is a potent quantitative approach for revealing the disparity amongst two or more phenomena or aspects using variable importance. It also illustrates how to determine statistical significance among several demographics.

We reject $H_0$since the P-value is less than the significance criterion $(0.014)$.

As a result, the data give adequate evidence to infer that there is a difference in the mean prices of the topic books at the significance level.