Jack is a college athlete who has been weighing himself weekly on the same scale in the athletic center for the past few years. Jack’s mean weight over the last nine weeks is 180 lbs. Over a period of a few months, Jack’s weight measurements are approximately normal, with a standard deviation of about 3 lbs. Assume that 3 lbs is the true standard deviation in Jack’s weight. Suppose that Jack asks you to compute a 90% confidence interval for his true mean weight. First, identify the positive critical value, , for a 90% level of confidence using software or a table of critical values. Then, derive the standard error of the mean, SE. Finally, compute the margin of error, , for the 90% confidence interval for Jack’s mean weight. Please enter all values to three decimal places.

Write two point-slope equations for the line passing through the points (6, 5) and (3, 1)

Name and describe the three most important measures of central tendency. choose the correct answer below. a. the mean, sample size, and mode are the most important measures of central tendency. the mean of a data set is the sum of the observations divided by the middle value in its ordered list. the sample size of a data set is the number of observations. the mode of a data set is its highest value in its ordered list. b. the sample size, median, and mode are the most important measures of central tendency. the sample size of a data set is the difference between the highest value and lowest value in its ordered list. the median of a data set is its most frequently occurring value. the mode of a data set is sum of the observations divided by the number of observations. c. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is the product of the observations divided by the number of observations. the median of a data set is the lowest value in its ordered list. the mode of a data set is its least frequently occurring value. d. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is its arithmetic average. the median of a data set is the middle value in its ordered list. the mode of a data set is its most frequently occurring value.

Explain in a minimum of 2 sentences how to graph the equation of the absolute value function given a vertex of (-1,3) and a value of “a” equal to ½.