A credit card company claims that the mean credit card debt for individuals is greater than $4,900. You want to test this claim. You find that a random sample of 36 cardholders has a mean credit card balance of $5,053 and a standard deviation of $600. 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: ≥$4,900 Ha μ<$4,900 OD. Ho: H>$4,900 Ha: μ≤ $4,900 B. Ho: μ≤ $4,900 Ha μ> $4,900 OC. Ho μ>$4,900 Ha: μ≤ $4,900 OE. Ho: μ=$4,900 Нa: μ> $4,900 OF. Ho: H=$4,900 Нa: μ* $4,900 (b) Find the critical value(s) and identify the rejection region(s). What is (are) the critical value(s), to? to = (Use a comma to separate answers as needed. Round to three decimal places as needed.)

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
icon
Related questions
Question

How to work the prbl

A credit card company claims that the mean credit card debt for individuals is greater than $4,900. You want to test
this claim. You find that a random sample of 36 cardholders has a mean credit card balance of $5,053 and a standard
deviation of $600. 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: ≥$4,900
Ha μ<$4,900
OD. Ho: H>$4,900
Ha: μ≤ $4,900
B. Ho: μ≤ $4,900
Ha μ> $4,900
OC. Ho μ>$4,900
Ha: μ≤ $4,900
OE. Ho: μ=$4,900
Нa: μ> $4,900
OF. Ho: H=$4,900
Нa: μ* $4,900
(b) Find the critical value(s) and identify the rejection region(s).
What is (are) the critical value(s), to?
to =
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
Transcribed Image Text:A credit card company claims that the mean credit card debt for individuals is greater than $4,900. You want to test this claim. You find that a random sample of 36 cardholders has a mean credit card balance of $5,053 and a standard deviation of $600. 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: ≥$4,900 Ha μ<$4,900 OD. Ho: H>$4,900 Ha: μ≤ $4,900 B. Ho: μ≤ $4,900 Ha μ> $4,900 OC. Ho μ>$4,900 Ha: μ≤ $4,900 OE. Ho: μ=$4,900 Нa: μ> $4,900 OF. Ho: H=$4,900 Нa: μ* $4,900 (b) Find the critical value(s) and identify the rejection region(s). What is (are) the critical value(s), to? to = (Use a comma to separate answers as needed. Round to three decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,