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 38 cardholders has a mean credit card balance of $4,912 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 Hg- Which of the following correctly states Ho and H,? O A. Ho: u> $4,800 H us $4,800 O D. Ho: H= $4,800 Hai > $4,800 O B. Ho: us $4,800 OC. Ho: u2$4,800 Haiu>$4,800 Hu<$4,800 O E. Ho: H>$4,800 Hai uS $4,800 OF. Ho:u= $4,800 H:u#$4,800 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to D (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 O B. t> Oc.

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(Rouhd to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
O A. Reject Ho because the test statistic is not in the rejection region.
O B. Fail to reject Ho because the test statistic is in the rejection region.
O C. Reject H, because the test statistic is in the rejection region.
O D. Fail to reject Ho because the test statistic is not in the rejection region.
(e) Interpret the decision in the context of the original claim.
O A. At the 10% level of significance, there is sufficient evidence to support the claim that the mean credit card debt is greater than $4,800.
O B. At the 10% level of significance, there is sufficient evidence to support the claim that the mean credit card debt is less than $4,800.
O C. At the 10% level of significance, there is not sufficient evidence to support the claim that the mean credit card debt is less than $4,800.
O D. At the 10% level of significance, there is not sufficient evidence to support the claim that the mean credit card debt is greater than $4,800.
Click to select your answer(s).
MacBook Air
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Transcribed Image Text:(Rouhd to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho because the test statistic is not in the rejection region. O B. Fail to reject Ho because the test statistic is in the rejection region. O C. Reject H, because the test statistic is in the rejection region. O D. Fail to reject Ho because the test statistic is not in the rejection region. (e) Interpret the decision in the context of the original claim. O A. At the 10% level of significance, there is sufficient evidence to support the claim that the mean credit card debt is greater than $4,800. O B. At the 10% level of significance, there is sufficient evidence to support the claim that the mean credit card debt is less than $4,800. O C. At the 10% level of significance, there is not sufficient evidence to support the claim that the mean credit card debt is less than $4,800. O D. At the 10% level of significance, there is not sufficient evidence to support the claim that the mean credit card debt is greater than $4,800. Click to select your answer(s). MacBook Air esc F5 F6 FI F2 F3 #3 %o 3 6.
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 38
cardholders has a mean credit card balance of $4,912 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 Hg-
ET
Which of the following correctly states Ho and H,?
O C. Ho: µ2 $4,800
O A. Ho: u> $4,800
H: us $4,800
O B. Ho: us$4,800
Ha:u>$4,800
H3:u<$4,800
OF. Ho: u= $4,800
O E. Ho: µ> $4,800
HaiHS $4,800
O D. Ho: H= $4,800
Ha: > $4,800
H:u#$4,800
(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.)
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<
O B. t>
O C. <t<
O D. t<
and t>
?
Click to select your answer(s).
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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 38 cardholders has a mean credit card balance of $4,912 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 Hg- ET Which of the following correctly states Ho and H,? O C. Ho: µ2 $4,800 O A. Ho: u> $4,800 H: us $4,800 O B. Ho: us$4,800 Ha:u>$4,800 H3:u<$4,800 OF. Ho: u= $4,800 O E. Ho: µ> $4,800 HaiHS $4,800 O D. Ho: H= $4,800 Ha: > $4,800 H:u#$4,800 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to = (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. t< O B. t> O C. <t< O D. t< and t> ? Click to select your answer(s). MacBook Air BRE F4 esc F2 F3 F1 # 2$ & @ 8 3 4 5
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