3. (10 points: you must do your own work!) Use the 1.5 IQR
criterion to determine the lower and
upper fence boundaries for outliers for the Brand-A service life
data set.
4. (10 points): you must do your own work! Use the 1.5 IQR
criterion to determine the lower and upper fence boundaries for
outliers for the Brand-B service life data set.
5. (0 points: no work/solution needed) To aid in upcoming
questions, please check that the sample standard deviation for the
Brand-A service life data set is sA = 2.1876 days and the sample
standard deviation for the Brand-B service life data set is sB =
2.2039 days.
6. (10 points: you must do your own work!) Create a frequency
table (bin width/size of 1) for the Brand-A service life data
set.
7. (10 points: you must do your own work!) Create a frequency
table (bin width/size of 1) for the Brand-B service life data
set.
8. (5 points: you must do your own work!) Unless specified
otherwise, assume that the Brand-A service life population mean is
equal to the Brand-A service life data set sample mean, and assume
that the Brand-A service life population standard deviation is
equal to the Brand-A service life data set sample standard
deviation. That is, assume that μA = x ̄A and σA = sA. Determine
the z-score for 36 days using μA and σA.
9. (5 points: you must do your own work!) Unless specified
otherwise, assume that the Brand-B service life population mean is
equal to the Brand-B service life data set sample mean, and assume
that the Brand-B service life population standard deviation is
equal to the Brand-B service life data set sample standard
deviation. That is, assume that μB = x ̄B and σB = sB . Determine
the z-score for 36 days using μB and σB .
10. (5 points: you must do your own work!) Unless specified
otherwise, assume that the service life of Brand-A toothbrushes
follows a normal distribution with mean μA and standard deviation
σA. This distribution can be notated N(μA,σA), where the N
indicates the normal distribution. Determine the probability that a
Brand-A toothbrush has a service life of greater than 36 days.
3. (10 points: you must do your own work!) Use the 1.5 IQR criterion to determine the lower and upper fence boundaries f
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