Please tutor me by answering these statistic problems please. Thanks.

16. According to an IRS study, it takes an average of 330 minutes for
taxpayers to prepare, copy, and mail a 1040 tax form. A consumer
watchdog agency selects a random sample of 40 taxpayers and finds the
standard deviation of the time to prepare, copy, and mail form 1040 is
80 minutes.
a. What assumption or assumptions do you need to make about the shape of the
population?
b. What is the standard error of the mean in this example?
c. What is the likelihood the sample mean is greater than 320 minutes?
d. What is the likelihood the sample mean is between 320 and 350 minutes?
e. What is the likelihood the sample mean is greater than 350 minutes?

23. A study of motel facilities in a metropolitan area showed there
were 25 facilities. The city?s convention and visitors bureau is
studying the number of rooms at each location. The results are as
follows:

90 72 75 60 75 72 84 72 88 74 105 115 68 74 80 64 104 82 48 58 60 80 48 58 100

a. Using a table of random numbers (Appendix E), select a random
sample of five motels from this population.
b. Obtain a systematic sample by selecting a random starting point
among the first five motels and then select every fifth motel.
c. Suppose the last five motels are ?cut-rate? motels. Describe how
you would select a random sample of three regular motels and two
cut-rate motels.



34. A recent study by the Greater Los Angeles Taxi Drivers Association
showed that the mean fare charged for service from Hermosa Beach to
the Los Angeles International Airport is $18.00 and the standard
deviation is $3.50. We select a sample of 15 fares.

a. What is the likelihood that the sample mean is between $17.00 and $20.00?
b. What must you assume to make the above calculation?

7. Bob Nale is the owner of Nale?s Texaco GasTown. Bob would like to
estimate the mean number of gallons of gasoline sold to his customers.
From his records, he selects a random sample of 60 sales and finds the
mean number of gallons sold is 8.60 and the standard deviation is 2.30
gallons.
a. What is the point estimate of the population mean?
b. Develop a 99 percent confidence interval for the population mean.
c. Interpret the meaning of part b.


8. Dr. Patton is a Professor of English. Recently he counted the
number of misspelled words in a group of student essays. For his class
of 40 students, the mean number of misspelled words was 6.05 and the
standard deviation 2.44 per essay. Construct a 95 percent confidence
interval for the mean number of misspelled words in the population of
students.