A manufacturer of coffee vending machines has designed a new, less expensive machine. The current machine is known to dispense (into cups) an average of 5 fl. oz., with a standard deviation of .2 fl. oz. When the new machine is tested using 15 cups, the mean and the standard deviation of the fills are found to be 5 fl. oz. and .216 fl. oz. Test Hg: o = .2 versus H,: o + .2 at levels of significance .05 and .01. Assume normality. (Round your answer to 4 decimal places.)

For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 39 beats per minute, the mean of the listed pulse rates is x = 78.0 beats per minute, and their standard deviation is s = 13.1 beats per minute. %3D a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 39 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between - 2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 39 beats per minute significant? a. The difference is beats per minute. (Type an integer or a decimal. Do not round.)

A quantitative data set has a size 50. At least how many observations lie within 3standard deviations to either side of the​ mean?

Suppose you buy a new car whose advertised mileage is 20 miles per gallon​ (mpg). After driving your car for several​ months, you find that its mileage is 16.5 mpg. You telephone the manufacturer and learn that the standard deviation of gas mileages for all cars of the model you bought is 1.02 mpg. a. Find the​ z-score for the gas mileage of your​ car, assuming the advertised claim is correct. b. Does it appear that your car is getting unusually low gas​ mileage?       Question content area bottom Part 1 a. z=enter your response here ​(Round to two decimal places as​ needed.)