The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.8 years and a sample variance of 77.4 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls. Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is sM= The t statistic is Now suppose you have a larger sample size n = 91. Calculate the estimated standard error and thet statistic for this sample with the same sample average and the same standard deviation as above, but with the larger sample size. The new estimated standard error is . The new t statistic is Note that thet statistic becomes as n becomes larger.

A survey asks questions about one's happiness and health. One would think that health plays a role in one's happiness. Use the data in the accompanying table to determine whether healthier people tend to also be happier. Treat level of health as the explanatory variable. E Click the icon to view the data table. Create a conditional distribution for the data. Level of Health Data table Level of Happiness Not too happy Poor Fair Good Excellent Poor Fair Good Excellent Pretty happy Not too happy Pretty happy Very happy 1,376 1,629 9,642 696 732 Very happy 950 3,817 5,185 345 1,372 4,520 5,085 Total (Round to three decimal places as needed.) Print Done

Vineyards Here are summary statistics for the sizes (inacres) of Finger Lakes vineyards:a) Would you describe this distribution as symmetric orskewed? Explain.b) Are there any outliers? Explain.c) Create a boxplot of these data.d) Write a few sentences about the sizes of thevineyards.

The table gives information on majors at a certain college. Sketch an appropriate graph of the distribution, and comment on its important features. Click the icon to view the table of majors information. One type of graph appropriate for showing this distribution is a bar chart. Which of the following bar charts correctly shows the given distribution? ○ A. Porcentage О в. Q 50- 50- 40- 40- 30- 20 30- 20- G 10- 10- 0+ 0+ HSS MS T Major H'SS'MS' T Major A. Pie chart ○ C. 50- Q 40- Percentage 30- 20 10- 0+ HSS MSI Major Which of the following would also be appropriate graphs for showing the given distribution? Select all that apply. ☐ ☐ ☐ ☐ B. Stemplot C. Pareto chart D. Histogram E. Dotplot F. None of the above Which of the following is the best description of the distribution's important features? OA. The mode is Social Science (SS). OB. The mode is Humanities (H). Majors ○ D. 50- Q Percentage 40- 30- 20- 10- 0+ H SS MSI Major Major H. Humanities SS. Social Science Percentage 39 17 MS.…