27.12. There can be asymptotic normality even if there are no moments at all. Construct a simple example.

EX7.8) Let Y be a random variable having a uniform normal distribution such that Y U(2,5) 2 Find the variance of random variable Y.

. Suppose X ~ N(2,3). What value of x has a z-score of -0.67?

Find the mean and standard deviation for each uniform continuous model. (Round "Mean" answers to 1 decimal place and "Standard deviation* answers to 4 decimal places A. U(1,   12) B. U(80,  210 C. U(4,   97

2. Write the equation of the normal line to the function: y = 6v2x – 1 at the point (2.5, 12). Express the equation in the form ax + by + c = 0

5.1: 13) When estimating distances from a table of velocity data, it is not necessary that the time intervals are equally spaced. After a space ship is launched, the following velocity data is obtained. Use these data to estimate the height above the Earth's surface at 127 seconds. Lower estimate of distance traveled= ? Miles Upper estimate of distance traveled= ? Miles

T10.11. Researchers wondered whether maintaining a patient's body temperature close to normal by heating the patient during surgery would affect wound infection rates. Patients were assigned at random to two mothermic group (patients' core temperatures were main- tained at near normal, 36.5°C, with heating blankets) and the hypothermic group (patients' core temperatures were allowed to decrease to about 34.5°C). If keeping patients warm during surgery alters the chance of infection, patients in the two groups should have hospital stays of very differ- ent lengths. Here are summary statistics on hospital stay (in number of days) for the two groups: groups: the nor- Group Sx Normothermic 104 12.1 4.4 Hypothermic 96 14.7 6.5 (a) Construct and interpret a 95% confidence interval for the difference in the true mean length of hospital stay for normothermic and hypothermic patients. (b) Does your interval in part (a) suggest that keeping patients warm during surgery affects the average length…

Suppose we ran logistic regression twice, once with 2 = 0, and once with 1 = 2. We .65 (102.09) and 0 = (00). Which value of 0 corresponds got the parameters 0 = (* to λ-0? Explain. 37.26 1.29

9. Suppose a picker needs to walk from the beginning of the aisle to a location at a distance L, pick an item, and return to the beginning of the aisle. The picker walks at a speed of 2.5 meters per second and takes 10 seconds to pick the item. (a) Give an equation for the round trip travel time R as a function of L and the other data. (b) If the mean of L is 5 meters and the standard deviation of L is 3 meters, what is the mean and variance of R?

12. The first four central moments of distribution are 0, 2.5, 0.7 and 18.75. Comment upon the skewness and kurtosis of the distribution.