This question
has 10 parts. Each of
the 10 parts (Part A - Part J) has a dropdown list of possible
answers. Choose the best answer from the dropdown
list for EACH part of the question
below.
A group of psychologists are interested in whether there is a
difference in anxiety levels (measured on a scale from [0=not at
all anxious] to [100=extremely anxious]) in patients who have been
treated for anxiety by being told to adopt a specialized diet
versus those who were given an oral medication to treat their
anxiety.
The researchers selected a sample of 16 patients who were told
to adopt a specialized diet and calculated their mean anxiety level
was 48 with a standard deviation of 14.
The researchers also selected a sample of 12 patients who were
given an oral medication and calculated their anxiety level was 56
with a standard deviation of 18.
Conduct an appropriate two-tailed hypothesis
test (two independent samples t-test) on whether
or not patients who adopted a specialized diet have
a different anxiety level than those who
are taking an oral medication to treat anxiety using
an alpha (α) level of 0.01.
You will use the information above to complete the question
parts below for a two independent samples t-test.
Part A: Which of the following represents the
appropriate null
hypothesis (H0),
given this research question of interest?
PART A ANSWER: H0:
[ Select ]
["μ1 = 12", "μ1 -
μ2 = 48", "μ1 - μ2 = 0", "μ1 - μ2 = 56", "μ1 -
μ2 ≠ 48"]
Part B: Which of the following represents the
appropriate alternative hypothesis (H1),
given this research question of interest?
PART B ANSWER: H1:
[ Select ]
["μ1 - μ2 ≠ 48",
"μ1 - μ2 ≠ 0", "μ1 - μ2 ≠ 56", "μ1 ≠ 48", "μ1 -
μ2 ≠ 14"]
Part C: What is the degrees of
freedom (df) associated with your test?
PART C ANSWER:
[ Select ]
["48", "22", "21", "27",
"26"]
Part D: Which of the following represents the
appropriate critical value(s), testing at
an alpha level (α) of 0.01?
PART D ANSWER:
[ Select ]
["-2.892 and 2.892",
"-2.771 and 2.771", "-2.312 and 2.312", "-2.779 and 2.779", "-2.763
and 2.763"]
Part E: What is the pooled
variance (s2p) associated
with your test? (rounded to the nearest hundredth)
PART E ANSWER:
[ Select ]
["38.53", "160.41",
"95.87", "250.15", "47.28"]
Part F: What is the estimated
standard error of x̄1 -
x̄2 associated with your test?
(rounded to the nearest hundredth)
PART F ANSWER:
[ Select ]
["3.27", "19.48",
"5.29", "1.81", "6.04"]
Part G: What is
the t-statistic associated with your
test? (rounded to the nearest hundredth)
PART G ANSWER:
[ Select ]
["1.78", "-3.45",
"-1.32", "2.17", "-1.99"]
Part H: Given your test results, what is
your decision about the null hypothesis?
PART H ANSWER:
[ Select ]
["Reject the null",
"Fail to reject (i.e., retain) the null"]
Part I: The best interpretation of the
appropriate decision regarding the null hypothesis would be: "Based
on our study, we
[ Select ]
["have", "do NOT have"]
enough evidence to conclude
that patients who adopt a specialized diet do appear to have a
different anxiety level than those who are prescribed an oral
medication."
Part J: Which of the below represents
a 99% confidence interval for the
difference between the unknown population mean anxiety levels of
people on the specialized diet and people on the oral
medication?
PART J ANSWER:
[ Select ]
["[-6.15 to -4.19]",
"[-16.81 to 2.52]", "[-8.32 to 2.01]", "[-14.56 to 11.35]",
"[-24.79 to 8.79]"]
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This question has 10 parts. Each of the 10 parts (Part A - Part J) has a dropdown list of possible answers. Choose the b
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