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. .... Which of the following correctly states Ho and Ha? A. Ho: us $4,900 Ha: u> $4,900 O B. Ho: H= $4,900 O C. Ho: H> $4,900 Ha: H# $4,900 Ha: us $4,900 O D. Ho: u> $4,900 Ha: us $4,900 O E. Ho: H2 $4,900 Ha:u< $4,900 O F. Ho: H= $4,900 Ha:u> $4,900 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to = 2.453 (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. t< and t> O B. t< D. t> 2.453

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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.
.....
Which of the following correctly states Ho and Ha?
A. Ho: HS $4,900
Ha:> $4,900
O C. Ho: µ> $4,900
O B. Ho: H= $4,900
Ha: µ # $4,900
Ha:us $4,900
O D. Ho: H> $4,900
OF. Ho: H= $4,900
O E. Ho: H2 $4,900
Ha:H< $4,900
Ha: us $4,900
Ha: > $4,900
(b) Find the critical value(s) and identify the rejection region(s).
What is(are) the critical value(s), to?
to = 2.453
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice.
(Round to three decimal places as needed.)
O A. t<
and t>
B. t<
<t<
D. t> 2.453
(c) Find the standardized test statistic t.
t= 3.21 (Round to two 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 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. ..... Which of the following correctly states Ho and Ha? A. Ho: HS $4,900 Ha:> $4,900 O C. Ho: µ> $4,900 O B. Ho: H= $4,900 Ha: µ # $4,900 Ha:us $4,900 O D. Ho: H> $4,900 OF. Ho: H= $4,900 O E. Ho: H2 $4,900 Ha:H< $4,900 Ha: us $4,900 Ha: > $4,900 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to = 2.453 (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. t< and t> B. t< <t< D. t> 2.453 (c) Find the standardized test statistic t. t= 3.21 (Round to two decimal places as needed.)
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