A credit card company claims that the mean credit card debt for individuals is greater than $5,000. You want to test this claim. You find that a random sample of 26 cardholders has a mean credit card balance of $5,274
A credit card company claims that the mean credit card debt for individuals is greater than $5,000. You want to test this claim. You find that a random sample of 26 cardholders has a mean credit card balance of $5,274
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
Related questions
Question
A credit card company claims that the mean credit card debt for individuals is greater than
normally distributed .
$5,000.
You want to test this claim. You find that a random sample of
26
cardholders has a mean credit card balance of
$5,274
and a standard deviation of
$600.
At
α=0.01,
can you support the claim? Complete parts (a) through (e) below. Assume the population is Question content area bottom
Part 1
(a) Write the claim mathematically and identify
H0
and
Ha.
Which of the following correctly states
H0
and
Ha?
H0:
μ≤$5,000
Ha:
μ>$5,000
H0:
μ>$5,000
Ha:
μ≤$5,000
H0:
μ=$5,000
Ha:
μ>$5,000
H0:
μ=$5,000
Ha:
μ≠$5,000
H0:
μ≥$5,000
Ha:
μ<$5,000
H0:
μ>$5,000
Ha:
μ≤$5,000
Part 2
(b) Find the critical value(s) and identify the rejection region(s).
What is(are) the critical value(s),
t0?
t0=enter your response here
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