Computational Statistics Homework 4 solved

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Before you start, please read the following two requirements
thoroughly:
(1)For all problems in this homework, the chosen significance level
is 0.05, i.e. if your p-value is less than 0.05, please reject the null
hypothesis.
(2) This homework is about hypothesis testing. when you answer
any question with question mark in this homework, please answer
them in the framework of hypothesis testing. First set up your null
and alternative hypothesis, with respect to the question you try to
answer. Then choose proper testing procedure and then report
relevant information to make your decision on statistical
testing problem. Please don’t provide everything from your SAS
output, only relevant information matters.
Problem 1. The file Utility.dat contains a monthly record of
telephone, electricity, and fuel costs for several years. Naming the
5 columns as Month ,Year, Telephone, Electricity and Fuel,
respectively.
(a) Import the data set into SAS using the INFILE statement.
(b)Is the true average monthly phone cost higher than $50 per
month?
Problem 2. The file Handinj.dat contains the costs (in Irish
pounds) and lost work days due to hand injuries for workers in
Dublin, Ireland. Naming the four columns as ID,Type, Days and
Cost, respectively;
(a) Import the data set into SAS using the INFILE statement.
(b)Is the average number of Days different for two levels of
Type:work and sports?
Problem 3. The file Wine.dat contains data collected by a student
to assess whether or not temperature and brand affected the taste of
wine.Naming the four columns as Brand, Temperature, Replicate
and Rating, respectively;
(a) Import the data set into SAS using the INFILE statement.
(b). Do the average Rating differ for Brand?
Problem4. The file Wear.dat contains data about the wear on a saw
blade for different cut depths and grit sizes. Naming the three
columns as gritsize, cutdepth and wear, respectively; Note that
gritsize is a alphanumeric variable, rather than numeric variable.
(a) Import data set into SAS using the INFILE statement.
(b) Does wear depend on cutdepth or gritsize? Include an
interaction term in your analysis.
(c)Check the model assumptions.