(a) Find the 5-number summary for the difference of arthritic pain levels. Minimum = Q₁ = Median Q3 = Maximum = (b) One of the conditions for inference for population mean difference of paired data is normality. Outliers within a data set cast a shadow of doubt upon the normality of the population distribution. Use the 5-number summary calculated part (a) to determine if there are any outliers in the data set. Which of the values, any, is an outlier according to the outlier rule? (Select all that apply.) -6 -2 02 03 Onone of the data values are outliers (c) Despite your answer to part (b), assume the conditions for inference have been met. Using the sample standard deviation, s=2.18, calculate a 95% confidence interval for the true mean difference of arthritic pain levels. (Use a table or technology. Round your answers to two decimal places.) (d) What would happen if the scientists increased the sample size? Continue to assume that the conditions for inference have been met. Using the sample standard deviation of s= 2.18, and the same point estimate, calculate a 95% confidence interval for the true mean difference of arthritic pain levels if a sample size of 30 were used. (Use a table or technology. Round your answers to two decimal places.) 1.[

What does the "box" of a box-and-whisker plot encompass?     Outliers     None of these     Minimum and maximum     Q1, Q2, Q3

It is widely claimed that a histogram is skewed to the left when the median is greater than the mean and to the right when the median is less than the mean. But there are exceptions to this claim. Demonstrate this exception by creating a data set that has at least 15 samples and plot the histogram.

1. The two plots have similar distrubutions. Are the distrubutions skewed left, approximtly symmetric, or skewed right? 2. Which is greater, the mean or the median, within each plot? Why does this make snese, gicen the type of distrubution you identified in the first part? 3. The population has drastically declined over recent years. Does the data show a difference in bee prefrence towards high quality hives versus how quality hives? Usse statistical evidennce to support your response.