A marketing research firm wishes to compare the prices charged by two supermarket chains—Miller’s and Albert’s. The rese

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A marketing research firm wishes to compare the prices charged
by two supermarket chains—Miller’s and Albert’s. The research firm,
using a standardized one-week shopping plan (grocery list), makes
identical purchases at 10 of each chain’s stores. The stores for
each chain are randomly selected, and all purchases are made during
a single week. It is found that the mean and the standard deviation
of the shopping expenses at the 10 Miller’s stores
are x1⎯⎯⎯⎯?=?$124.65x1¯?=?$124.65 and
s1= 1.08. It is also found that the mean and the
standard deviation of the shopping expenses at the 10 Albert’s
stores are x2⎯⎯⎯⎯?=?$123.85x2¯?=?$123.85 and
s2= 1.22.
(a) Calculate the value of the test
statistic. (Do not round intermediate
calculations. Round your answer to 2 decimal
places.)
Test statistic:
(b) Calculate the critical
value. (Round your answer to 2 decimal
places.)
Critical value: