problem. Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°P. A sample of 19 people are randomly selected. a) What is mean of the mean of all such sample means? b) What is standard deviation of all such sample means? c) Find the probability that their mean body temperature will be less than 98.50°F.

A population has a mean 75 and standard deviation 12. a. A random sample of 125 are taken. Find the mean and the standard deviation of the sample mean. b. How would the answer to part (a) change if the size of the sample were 500 instead of 125?

Suppose the average amount of money that people spend on their pets per month is 47 dollars, with a standard deviation of 6 dollars.  For a sample of 36 people, final the average amount of money spent on pets that defines the bottom 30% in the distribution.For a sample of 36 people, what is the probability for this sample’s mean to be higher than 50 dollars.

An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.57 ppm and a standard deviation of 3 ppm. Suppose that you draw a random sample of 11 printers. Part i) Suppose the number of printers drawn is quadrupled. How will the standard deviation of sample mean printing speed change? O A. It will decrease by a factor of 4. OB. It will increase by a factor of 4. O C. It will increase by a factor of 2. O D. It will decrease by a factor of 2. OE. It will remain unchanged. Part ii) Suppose the number of printers drawn is quadrupled. How will the mean of the sample mean printing speed change? O A. It will decrease by a factor of 2. O B. It will decrease by a factor of 4 O C. It will increase by a factor of 4. O D. It will increase by a factor of 2. OE. It will remain unchanged. Part iii) Consider the statement: 'The distribution of the mean…