Sketch the distribution, show the mean and standard error, and shade the part of the curve corresponding to your calculation. Suppose that at a large university,  34% of the students decide to take their classes online. 1. If a university researcher takes a sample of 200 students, what is the probability that less than 30% of the sample will decide to take classes online?

Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.

This histogram shows the heights of 20 students in a statistics class. Explain why it is not appropriate to find summary statistics for this distribution. Frequency 4- 3- 2- 1- T 0+ 60 65 70 75 Height (Inches) Choose the correct answer below. OA. Since there appear to be two modes, this data probably represents men and women and should be split into those two groups before finding any summary statistics. OB. The number of data values is too small for summary statistics to be meaningful. OC. Since the data appear to be bimodal, no other measures of center or spread can be calculated. OD. Since the distribution is not symmetric, summary statistics would be meaningless.

A statistics practitioner took a random sample of 54 observations from a population whose standard deviation is 32 and computed the sample mean to be 109. A. Estimate the population mean with 95% confidence. Confidence Interval = B. Estimate the population mean with 90% confidence. Confidence Interval = C. Estimate the population mean with 99% confidence. Confidence Interval =