Answer the following question on the document below

1) Given the following set of numbers: 10 12 15 17 19 22 Find: a)n= b) x= Ix2= d)s?= f) Add 5 to each of the data values above, what is the new variance, s? = what is the new standard deviation, s = g) Multiply each data value by 10, what is the new variance, s* = what is the new standard deviation, s = 2) For the following set of numbers: 53 62 57 54 63 67 70 Find: an=____ bEIx=_ = o Zx= e)s= f) Add 50 to each of the data values above, what is the new variance, s2 = what is the new standard deviation, s = g) Multiply each data value by 8, what is the new variance, s? = what is the new standard deviation, s = 15 3) Last year the mean salary for professors in a particular community college was $62,000 with a standard deviation of $2000. A new two year contract is negotiated. a) In the first year of the contract, each professor receives a $1500 raise. Find the mean and standard deviation for the first year of the contract. b) In the second year of the contract, each professor receives a 3% raise based on their salary during the first year of the contract. Find the mean and the standard deviation for the second year of the contract. 4) The mean time a cell phone battery will hold its charge during moderate use is 650 minutes with a standard deviation of 75 minutes. Assume the data is approximately bell-shaped. a) Between what two values will approximately 95% of data fall? b) About what percent of data is between 575 and 725? c) About what percent of data is between 425 and 875