deviation of $675. At a = 0.05, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed. O O O O (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and Ha? O OA. Ho: $5,300 Ha: #$5,300 OD. Ho: H>$5,300 Ha: us$5,300 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? OB. Ho: $5,300 Ha: μ>$5,300 (c) Find the standardized test statistic t t=(Round to two decimal places as needed.) OE. Ho: us$5,300 Ha: μ>$5,300 (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.). О А. OB. t< and t> OD. t< OC. Ho: μ>$5,300 Ha: us$5,300 OF. Ho: 2$5,300 Ha: μ<$5,300

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A credit card company claims that the mean credit card debt for individuals is greater than $5,300. You want to test this claim. You find that a random sample of 28 cardholders has a mean credit card balance of $5,511 and a standard
deviation of $675. At a = 0.05, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed.
O
D
O
(a) Write the claim mathematically and identify Ho and Ha
Which of the following correctly states Ho and Ha?
OA. Ho: H=$5,300
Ha: μ*$5,300
OD. Ho: > $5,300
H₂:μ$5,300
(b) Find the critical value(s) and identify the rejection region(s).
What is(are) the critical value(s), to?
OB. Ho: H=$5,300
Ha: μ> $5,300
(c) Find the standardized test statistic t.
t= (Round to two decimal places as needed.)
O E. Ho: us$5,300
H₂:μ>$5,300
(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.)
OA<t<
OC. t>
OB. t< and t>
O D. t<
OC. Ho: μ>$5,300
Ha: $5,300
OF. Ho: 2 $5,300
H₂: H<$5,300
Transcribed Image Text:A credit card company claims that the mean credit card debt for individuals is greater than $5,300. You want to test this claim. You find that a random sample of 28 cardholders has a mean credit card balance of $5,511 and a standard deviation of $675. At a = 0.05, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed. O D O (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and Ha? OA. Ho: H=$5,300 Ha: μ*$5,300 OD. Ho: > $5,300 H₂:μ$5,300 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? OB. Ho: H=$5,300 Ha: μ> $5,300 (c) Find the standardized test statistic t. t= (Round to two decimal places as needed.) O E. Ho: us$5,300 H₂:μ>$5,300 (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.) OA<t< OC. t> OB. t< and t> O D. t< OC. Ho: μ>$5,300 Ha: $5,300 OF. Ho: 2 $5,300 H₂: H<$5,300
D
O
A credit card company claims that the mean credit card debt for individuals is greater than $5,300. You want to test this claim. You find that a random sample of 28 cardholders has a mean credit card balance of $5,511 and a standard
deviation of $675. At a=0.05, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed.
O
O
O
O
(d) Decide whether to reject or fail to reject the null hypothesis.
OA. Fail to reject Ho because the test statistic is not in the rejection region.
OB. Reject Ho because the test statistic is in the rejection region.
OC. Reject Ho because the test statistic is not in the rejection region.
O D. Fail to reject Ho because the test statistic is in the rejection region.
(e) Interpret the decision in the context of the original claim.
OA. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean credit card debt is greater than $5,300.
OB. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean credit card debt is less than $5,300.
OC. At the 5% level of significance, there. sufficient evidence to support the claim that the mean credit card debt is greater than $5,300.
O D. At the 5% level of significance, there is sufficient evidence to support the claim that the mean credit card debt s less than $5,300.
Transcribed Image Text:D O A credit card company claims that the mean credit card debt for individuals is greater than $5,300. You want to test this claim. You find that a random sample of 28 cardholders has a mean credit card balance of $5,511 and a standard deviation of $675. At a=0.05, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed. O O O O (d) Decide whether to reject or fail to reject the null hypothesis. OA. Fail to reject Ho because the test statistic is not in the rejection region. OB. Reject Ho because the test statistic is in the rejection region. OC. Reject Ho because the test statistic is not in the rejection region. O D. Fail to reject Ho because the test statistic is in the rejection region. (e) Interpret the decision in the context of the original claim. OA. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean credit card debt is greater than $5,300. OB. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean credit card debt is less than $5,300. OC. At the 5% level of significance, there. sufficient evidence to support the claim that the mean credit card debt is greater than $5,300. O D. At the 5% level of significance, there is sufficient evidence to support the claim that the mean credit card debt s less than $5,300.
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