Nanoparticles are generally defined as possessing dimensions…

Questions

Nаnоpаrticles аre generally defined as pоssessing dimensiоns in the range of ___ 

Pleаse nоte thаt this questiоn cоnsists of six pаrts. You need to show all mathematical calculations to get the final answer. Just giving the answer without showing work may result in zero for the question. A fourth grade class is studying the environment. One of the assignments is to grow bean plants in different soils. Tommy chose to grow his bean plants in soil found outside his classroom mixed with dryer lint. Tara chose to grow her bean plants in potting soil bought at the local nursery. Nick chose to grow his bean plants in soil from his mother's garden. No chemicals were used on the plants, only water was used. They were grown inside the classroom next to a large window. Each child grew five plants. At the end of the growing period, each plant was measured, producing the data (in inches). Question of interest is: does it appear that the three media types, used by Tommy, Tara and Nick, in which the bean plants were grown produce the same mean height? A research group in the school has decided to use One-way ANOVA to compare the mean heights of bean plants for three different media types used by Tommy, Tara and Nick. They need help from a statistician to interpret the results. Use provided partial output to answer the following questions.   Write down the null and alternative hypotheses for testing whether or not the true mean heights of the bean plants would be the same for all three different media types used by Tommy, Tara and Nick. Define the parameters and use those defined parameters when you set up the null and alternative hypotheses. Compute the degrees of freedom missing in the ANOVA output (i.e. error degrees of freedom) Compute the sum of squares missing in the table (i.e. sum of square treatment)  Compute the F-value missing in the ANOVA output. At a 5% significant level is there sufficient evidence to claim that the true mean heights of the bean plants grown by three media used by Tommy, Tara and Nick are different for at least one type of the media? Explain your answer. The outputs for Tukey pairwise comparisons are given below. Based on the output Are the mean heights of the bean plants grown by Tara and Nick significantly different? Explain your answer. Which student seems to have used the media producing the highest mean plant height?