dolution

dolution.

Births by Day of Week An obstetrician knew that there were more live births during the week than on weekends. She wanted to determine whether the mean number of births was the same for each of the five days of the week. She randomly selected eight dates for each of the five days of the week and obtained the following data:

(a) Write the null and alternative hypotheses.

(b) State the requirements that must be satisfied to use the oneway ANOVA procedure.

(c) Use the following Minitab output to test the hypothesis of equal means at the  level of significance.

(d) Shown are side-by-side boxplots for each weekday. Do these boxplots support the results obtained in part (c)?

dolution

 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

dolution

dolution.

CASE

THE NEW ZEALAND WINE INDUSTRY

The wine industry in New Zealand is growing strongly. In 2009 (to year end June), total sales of New Zealand wines were a staggering 172 million litres, the highest the industry has ever seen. The same year witnessed the opening of the 640th winery. Export sales of 112 million litres accounted for over 65% of total sales for the first time ever. However, the industry has not been without its challenges. A strong New Zealand dollar, rising costs, difficult market conditions, and economic uncertainty have all taken their toll. Notwithstanding these current problems, according to the Wine Institute of New Zealand’s New Zealand Winegrowers Annual Report, 2009, the future is bright with expectations of continued growth in sales in the foreseeable years.

dolution

 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

dolution

dolution.

Diversity and pH The following data represent the number of fish species living in various Andirondack Lakes and the pH of the lakes. From chemistry, we know pH is a measure of the acidity or basicity of a solution. Solutions with pH less than 7 are said to be acidic. As pH increases, the solution is said to be less acidic.

(a) Draw a scatter diagram of the data treating pH as the explanatory variable.

(b) Determine the linear correlation coefficient between pH and number of fish species.

(c) Does a linear relation exist between pH and number of fish species?

(d) Find the least-squares regression line treating pH as the explanatory variable.

(e) Interpret the slope.

(f) Is it reasonable to interpret the intercept? Explain.

(g) What proportion of the variability in number of fish species is explained by pH?

(h) Is the number of fish species in the lake whose pH is 5.5 above or below average? Explain.

(i) In part (g), you found the proportion of variability in number of fish species that is explained by the variability in pH. Can you think of other variables that might also explain the variability in the number of fish species?

dolution

 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"

dolution

dolution.

Soybean Yield The data in the table represent the number of pods on a random sample of soybean plants for various plot types. An agricultural researcher wants to determine if the mean numbers of pods for each plot type are equal.

(a) Write the null and alternative hypotheses.

(b) State the requirements that must be satisfied to use the oneway ANOVA procedure.

(c) Use the following Minitab output to test the hypothesis of equal means at the  level of significance.

(d) Shown are side-by-side boxplots of each type of plot. Do these boxplots support the results obtained in part (c)?

(e) Verify that the -test statistic is 3.77.

(f) Verify the residuals are normally distributed.

dolution

 
"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"