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 32 cardholders has a mean credit card balance of $5,160 and a standard deviation of $650. At a = 0.01, 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 H? A. Ho: us $4,900 O B. Ho: H= $4,900 O C. Ho: H> $4,900 H: u> $4,900 Ha: u# $4,900 Ha: us $4,900 O D. Ho:p> $4,900 O E. Ho: µ2 $4,900 Ha:u< $4,900 OF. Ho: H= $4,900 Ha: H> $4,900 Ha: HS $4,900 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to = 1.708 (Use a comma to separate answers as needed. Round to three decimal places as needed.)
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 32 cardholders has a mean credit card balance of $5,160 and a standard deviation of $650. At a = 0.01, 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 H? A. Ho: us $4,900 O B. Ho: H= $4,900 O C. Ho: H> $4,900 H: u> $4,900 Ha: u# $4,900 Ha: us $4,900 O D. Ho:p> $4,900 O E. Ho: µ2 $4,900 Ha:u< $4,900 OF. Ho: H= $4,900 Ha: H> $4,900 Ha: HS $4,900 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to = 1.708 (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
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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 32
cardholders has a mean credit card balance of $5,160 and a standard deviation of $650. At a = 0.01, 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 H?
ΨΑ Hρ: μs $4,900
O B. Ho: H = $4,900
O C. Ho: H > $4,900
Ha:H> $4,900
Ha: H# $4,900
Ha: uS $4,900
O D. Ho: H> $4,900
ΟΕ Ho μ2 $4,900
Ha:H<$4,900
OF. Ho: H = $4,900
Ha: HS $4,900
Ha:H > $4,900
(b) Find the critical value(s) and identify the rejection region(s).
What is(are) the critical value(s), to?
to
= 1.708
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
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