A credit card company claims that the mean credit card debt for individuals is greater than $4,800. You want to test this claim. You find that a random sample of 28 cardholders has a mean credit card balance of $4,980 and a standard deviation of $650. At a = 0.10, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A credit card company claims that the mean credit card debt for individuals is greater than $4,800. You want to test this claim. You find that a random sample of 28 cardholders has a mean credit card balance of $4,980 and a standard deviation of $650. At a = 0.10, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed.
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A credit card company claims that the mean credit card debt for individuals is greater than $4,800. You want to test this
claim. You find that a random sample of 28 cardholders has a mean credit card balance of $4,980 and a standard
deviation of $650. At a = 0.10, can you support the claim? Complete parts (a) through (e) below. Assume the population
is normally distributed.
(a) Write the claim mathematically and identify Ho and Ha
Which of the following correctly states Ho and H₂?
OA. Ho: ≥$4,800
Ha: μ<$4,800
OD. Ho: H=$4,800
Ha: μ#$4,800
...
OB. Ho: $4,800
Ha: μ>$4,800
an example Get more help.
E. Ho: μ≤ $4,800
Ha: μ>$4,800
(b) Find the critical value(s) and identify the rejection region(s)
What is (are) the critical value(s), to?
C. Ho: μ>$4,800
Ha: μ≤ $4,800
OF. Ho: H>$4,800
Ha: H≤ $4,800
to =0
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
Clear all
Check answer
ts o
Pla
m
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sti
sti
str
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Transcribed Image Text:← A credit card company claims that the mean credit card debt for individuals is greater than $4,800. You want to test this claim. You find that a random sample of 28 cardholders has a mean credit card balance of $4,980 and a standard deviation of $650. At a = 0.10, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and H₂? OA. Ho: ≥$4,800 Ha: μ<$4,800 OD. Ho: H=$4,800 Ha: μ#$4,800 ... OB. Ho: $4,800 Ha: μ>$4,800 an example Get more help. E. Ho: μ≤ $4,800 Ha: μ>$4,800 (b) Find the critical value(s) and identify the rejection region(s) What is (are) the critical value(s), to? C. Ho: μ>$4,800 Ha: μ≤ $4,800 OF. Ho: H>$4,800 Ha: H≤ $4,800 to =0 (Use a comma to separate answers as needed. Round to three decimal places as needed.) Clear all Check answer ts o Pla m ue sti sti str st st st st
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